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26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems (102 articles)

• Burgess, Walter D.; Raphael, Robert M.: On extending ${\rm C}^{k}$ functions from an open set to $\mathbb R$ with applications. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 2, pp. 487-498
• Monteiro, Giselle A.: On Kurzweil-Stieltjes equiintegrability and generalized BV functions. (English). Mathematica Bohemica, vol. 144 (2019), issue 4, pp. 423-436
• Marinescu, Dan Ştefan; Monea, Mihai: Some mean value theorems as consequences of the Darboux property. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 211-224
• Guo, Xin-Cui; Zhou, Ze-Hua: New characterizations for weighted composition operator from Zygmund type spaces to Bloch type spaces. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 331-346
• Matkowski, Janusz: Mean-value theorem for vector-valued functions. (English). Mathematica Bohemica, vol. 137 (2012), issue 4, pp. 415-423
• Sarić, Branko: Cauchy's residue theorem for a class of real valued functions. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 4, pp. 1043-1048
• Hartman, Jan; Lukšan, Ladislav; Zítko, Jan: Automatic differentiation and its program realization. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 865-883
• Mukhopadhyay, S. N.; Ray, S.: Mean value theorems for divided differences and approximate Peano derivatives. (English). Mathematica Bohemica, vol. 134 (2009), issue 2, pp. 165-171
• Koc, Martin: On relations among metric derived numbers. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 50 (2009), issue 2, pp. 39-47
• Sjödin, Tord: Bernstein’s analyticity theorem for quantum differences. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 67-73
• Talvila, Erik: Estimates of the remainder in Taylor’s theorem using the Henstock-Kurzweil integral. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 933-940
• Mařík, Jan; Weil, Clifford E. Multipliers of spaces of derivatives (English). Math. Bohem. 129 (2) (2004), 181–217
• Mařík, Jan; Weil, Clifford E.: Multipliers of spaces of derivatives. (English). Mathematica Bohemica, vol. 129 (2004), issue 2, pp. 181-217
• Buczolich, Zoltán: Micro tangent sets of continuous functions. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 147-167
• Caponetti, Diana: On the $\sigma $-finiteness of a variational measure. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 137-146
• Alikhani-Koopaei, Aliasghar: On extreme first return path derivatives. (English). Mathematica Slovaca, vol. 52 (2002), issue 1, pp. 19-29
• Svetic, R. E.: The Laplace derivative. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 2, pp. 331-343
• Zajíček, Luděk: Obecná teorie derivování funkcí a měr na katedře matematické analýzy MFF UK. (Czech) [General theory of differentiation of functions and measures studied at the Charles University]. Pokroky matematiky, fyziky a astronomie, vol. 45 (2000), issue 3, pp. 188-207
• Chvalina, Jan; Chvalinová, Ludmila: Multistructures determined by differential rings. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 429-434
• Buczolich, Zoltán; Weil, Clifford E.: The non-coincidence of ordinary and Peano derivatives. (English). Mathematica Bohemica, vol. 124 (1999), issue 4, pp. 381-399
• Matoušková, Eva; Zajíček, Luděk: Second order differentiability and Lipschitz smooth points of convex functionals. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 617-640
• Zajíček, Luděk On results of Jan Mařík in the theory of derivatives (English).
• Zajíček, Luděk: On results of Jan Mařík in the theory of derivatives. (English). Mathematica Bohemica, vol. 121 (1996), issue 4, pp. 385-395
• Bugajewski, Dariuss; Wójtowicz, Daria: On the equation $x_{ap}^{(n)}=f(t,x)$. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 2, pp. 325-330
• Fejzić, Hajrudin; Mařík, Jan; Weil, Clifford E. Extending Peano derivatives (English). Math. Bohem. 119 (4) (1994), 387–406
• Fejzić, Hajrudin; Mařík, Jan; Weil, Clifford E.: Extending Peano derivatives. (English). Mathematica Bohemica, vol. 119 (1994), issue 4, pp. 387-406
• Výborný, Rudolf: Some applications of Kurzweil-Henstock integration. (English). Mathematica Bohemica, vol. 118 (1993), issue 4, pp. 425-441
• Bruckner, A. M.; Buczolich, Z.: Attractive properties via generalized derivatives of continuous functions. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 2, pp. 271-278
• Mařík, Jan Derivatives, continuous functions and bounded Lebesgue functions (English). Real Anal. Exchange 18 (1) (1992/93), 169–175
• Zajíček, Luděk: An elementary proof of the one-dimensional Rademacher theorem. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 133-136
• Mařík, Jan Norms and derivatives (English). Real Anal. Exchange 18 (2) (1992/93), 343–351
• Matejdes, Milan: The projective properties of the extreme path derivatives. (English). Mathematica Slovaca, vol. 42 (1992), issue 4, pp. 451-464
• Bruckner, Andrew M.; Mařík, Jan; Weil, Clifford E. Some aspects of products of derivatives (English). Amer. Math. Monthly 99 (2) (1992), 134–145
• Mařík, Jan Derivatives and convexity (English). Real Anal. Exchange 17 (2) (1991/92), 745–747
• Mařík, Jan The equation $f^2+g^2=h^2$, where $f$, $g$, and $h$ are derivatives (English). Real Anal. Exchange 17 (1) (1991_92), 37-38
• Mařík, Jan; Weil, Clifford E. Multipliers of classes of derivatives (English). Real Anal. Exchange 17 (1) (1991/92), 35–36
• Mařík, Jan; Weil, Clifford E. Sums of powers of derivatives (English). Proc. Amer. Math. Soc. 112 (3) (1991), 807–817
• Hustý, Zdeněk: Die höheren Ableitungen zusammengesetzter Funktion. (German) [Higher derivatives of composite functions]. Czechoslovak Mathematical Journal, vol. 40 (1990), issue 3, pp. 528-533
• Mařík, Jan Characteristic functions and products of derivatives (English). Real Anal. Exchange 16 (1) (1990/91), 245–254
• Zajíček, Luděk: Porosity, derived numbers and knot points of typical continuous functions. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 1, pp. 45-52
• Mařík, Jan; Weil, Clifford E. Sums of powers of derivatives (English). Real Anal. Exchange 13 (1) (1987/88), 180-182
• Pokorný, Imrich: Symmetric selective derivatives. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 28 (1987), issue 2, pp. 99-100
• Matoušek, Jiří: Approximate symmetric derivative and monotonicity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 83-86
• Mařík, Jan Characteristic functions that are products of derivatives (English). Real Anal. Exchange 12 (1) (1986/87), 67-68
• Bruckner, A. M.; Mařík, Jan; Weil, C. E. Baire one, null functions (English). Classical real analysis (Madison, Wis., 1982), 29–41, Contemp. Math. 42, Amer. Math. Soc., Providence, RI, 1985
• Mařík, Jan Transformation and multiplication of derivatives (English). Classical real analysis (Madison, Wis., 1982), 119–134, Contemp. Math. 42, Amer. Math. Soc., Providence, RI, 1985
• Mařík, Jan Derivatives and closed sets (English). Acta Math. Hungar. 43 (1-2) (1984), 25–29
• Demuth, Osvald: 0 пceвдoдиффepeцируйemoctи пceвдоравномерно нeпpepывных кoнструктивных функций пo функцияm тoгo жe типa. (Russian) [On the pseudo-differentiability of pseudo-uniformly continuous constructive functions from functions of the same type]. Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 3, pp. 391-406
• Preiss, David: Nederivovatelné funkce. (Czech) [Nondifferentiable functions]. Pokroky matematiky, fyziky a astronomie, vol. 28 (1983), issue 3, pp. 148-154
• Mařík, Jan Multiplication and transformation of derivatives (English). Real Anal. Exchange 9 (2) (1983/84), 313-316
• Mařík, Jan Multipliers of nonnegative derivatives (English). Real Anal. Exchange 9 (1) (1983/84), 258–272
• Mařík, Jan; Weil, Clifford E. Products of powers of nonnegative derivatives (English). Trans. Amer. Math. Soc. 276 (1) (1983), 361–373
• Mařík, Jan Some properties of multipliers of summable derivatives (English). Real Anal. Exchange 9 (1) (1983/84), 251–257
• Demuth, Osvald: Об apифmeтичeckoй cлoжнocти диффеpeндиpoвaния в конструктивной математике. (Russian) [Arithmetic complexity of differentiation in constructive mathematics]. Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 2, pp. 301-316
• Mařík, Jan Multipliers of summable derivatives (English). Real Anal. Exchange 8 (2) (1982/83), 486–493
• Preiss, David; Zajíček, Luděk: On the symmetry of approximate Dini derivates of arbitrary functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 4, pp. 691-697
• Mařík, Jan On a space of functions representable by derivatives (English). Real Anal. Exchange 7 (1) (1981/82), 135–148
• Zajíček, Luděk: On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 549-560
• Zajíček, Luděk: On the symmetry of Dini derivates of arbitrary functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 1, pp. 195-209
• Mařík, Jan; Weil, Clifford E. Products of derivatives and approximate continuity (English). Proceedings of the Real Analysis Summer Symposium (Syracuse, N.Y., 1981), Real Anal. Exchange 1, 54–57
• Agronsky, S. J.; Biskner, R.; Bruckner, A. M.; Mařík, Jan Representations of functions by derivatives (English). Trans. Amer. Math. Soc. 263 (2) (1981), 493–500
• Demuth, Osvald: О псевдодифференцируемости равномерно непрерывных конструктивных функций по функциям того же типа. (Russian) [On pseudodifferentiability of uniformly continuous constructive functions with respect to functions of the same type]. Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 497-512
• Demuth, Osvald: Об одном обобщении конструктивного аналога теоремы К. М. Гарга. (Russian) [A generalization of a constructive analogue of K. M. Garg's theorem]. Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 607-620
• Demuth, Osvald: Über ein konstruktives Analogon eines Satzes von K. M. Garg über Ableitungszahlen. (German) [A constructive analogue of K. M. Garg's theorem on derivative numbers]. Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 3, pp. 457-472
• Demuth, Osvald: О исевдодиференцируемости конструктивных функций на конструктивных действительных числах. (Russian) [Pseudodifferentiability of constructive functions on constructive real numbers]. Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 3, pp. 489-505
• Demuth, Osvald; Kmínek, V.: О свойствах неопределённых конструктивннх интегралов Лебега-Стилтьеса. (Russian) [Properties of indefinite constructive Lebesgue-Stieltjes integrals]. Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 4, pp. 629-644
• Mařík, Jan On generalized derivatives (English). Real Anal. Exchange 3 (2) (1977/78), 87-92
• Blažek, Jaroslav; Borák, Emil; Malý, Jan: On Köpcke and Pompeiu functions. (English). Časopis pro pěstování matematiky, vol. 103 (1978), issue 1, pp. 53-61
• Demuth, Osvald: О конcтpуктовных аналогах обобщено абсолютно непрерывных функций и функций обобщеной ограниченой вариации. (Russian) [Constructive analogues of generalized absolutely continuous functions of generalized bounded variation]. Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 471-487
• Demuth, Osvald: О псевдодифференцируемости равномерно непрерывных конструктивных функций на конструктивных действительных числах. (Russian) [The pseudodifferentiability of uniformly continuous constructive functions on constructive real numbers]. Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 2, pp. 319-333
• Mišík, Ladislav: Halbborelsche Funktionen und extreme Ableitungen. (German). Mathematica Slovaca, vol. 27 (1977), issue 4, pp. 409-421
• Mišík, Ladislav: Sätze des Khintchine Typus für Mengenfunktionen. (German). Mathematica Slovaca, vol. 27 (1977), issue 2, pp. 155-171
• Lukeš, Jaroslav; Zajíček, Luděk: When finely continuous functions are of the first class of Baire. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 647-657
• Kundu, N. K.: On symmetric derivatives and on properties of Zahorski. (English). Czechoslovak Mathematical Journal, vol. 26 (1976), issue 1, pp. 154-160
• Mišík, Ladislav: Über approximative derivierte Zahlen monotoner Funktionen. (German) [On approximative derived numbers of monotone functions]. Czechoslovak Mathematical Journal, vol. 26 (1976), issue 4, pp. 579-583
• Demuth, Osvald: О кoнcтpуктивнпм aналоге тeopeмы Дaнжуa-Янгa о пpoизводных чиcлax. (Russian) [The constructive analogue of the Denjoy-Young theorem on derived numbers]. Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 1, pp. 111-126
• Demuth, Osvald: О диффepeнциpуeмocти кoнcтpуктивныx функций cлaбo oгpaничeнной вapиaции нa пceвдочиcлax. (Russian) [The differentiability of constructive functions of weakly bounded variation on pseudo numbers]. Commentationes Mathematicae Universitatis Carolinae, vol. 16 (1975), issue 3, pp. 583-599
• Mišík, Ladislav: Über einen Satz von Khintchine. II. (German). Matematický časopis, vol. 24 (1974), issue 2, pp. 145-154
• Kryl, Rudolf: О кoнcтpуктивнoм aнaлoгe однoй тeopemы Лузина. (Russian) [The constructive analogue of a certain theorem of Luzin]. Commentationes Mathematicae Universitatis Carolinae, vol. 15 (1974), issue 3, pp. 465-480
• Preiss, David: Poznámka k jednomu problému K. Kartáka. (Czech) [Remark on a problem of K. Karták]. Časopis pro pěstování matematiky, vol. 98 (1973), issue 1, pp. 101-102
• Kalášek, Pavel: Poznámka k článku V. Petrůva. (Czech) [Note to a paper by V. Petrův]. Časopis pro pěstování matematiky, vol. 98 (1973), issue 2, pp. 156-158
• Zajíček, Luděk: On the intersection of the sets of the right and left internal approximate derivatives. (English). Czechoslovak Mathematical Journal, vol. 23 (1973), issue 4, pp. 629-634
• Mišík, Ladislav: Notes on an approximate derivative. (English). Matematický časopis, vol. 22 (1972), issue 2, pp. 108-114
• Mišík, Ladislav: Über einen Satz von Khintchine. (German). Matematický časopis, vol. 22 (1972), issue 3, pp. 243-252
• Mišík, Ladislav: Derivácia a spojitosť. (Slovak) [Differentiation and continuity]. Pokroky matematiky, fyziky a astronomie, vol. 16 (1971), issue 6, pp. 301-310
• Demuth, Osvald: Об одном условии дифференцируемости конструктивных функций ограниченной вариации. (Russian) [A certain condition for the differentiability of constructive functions of bounded variation]. Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 4, pp. 687-711
• Preiss, David Bemerkung zu einem Problem von V. Jarník (German) [A remark to a problem of V. Jarník]. Čas. pro pěst. mat. 95 (1970), pp. 146-149
• Preiss, David: Bemerkung zu einem Problem von V. Jarník. (German) [A remark to a problem of V. Jarník]. Časopis pro pěstování matematiky, vol. 95 (1970), issue 2, pp. 146-149
• Preiss, David: On the first derivative of real functions (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 11 (1970), issue 4, pp. 817-822
• Demuth, Osvald: Необходимое и достаточное условие абсолютной непрерывности конструктивных функций. (Russian) [Necessary and sufficient conditions for the absolute continuity of constructive functions]. Commentationes Mathematicae Universitatis Carolinae, vol. 11 (1970), issue 4, pp. 705-726
• Demuth, Osvald: Об интегрируемости производных от конструктивных функций. (Russian) [The integrability of derivatives of constructive functions]. Commentationes Mathematicae Universitatis Carolinae, vol. 11 (1970), issue 4, pp. 667-691
• Mišík, Ladislav: Bemerkungen über approximative Ableitung. (German). Matematický časopis, vol. 19 (1969), issue 4, pp. 283-291
• Popoviciu, Tiberiu: Remarques sur certaines formules de la moyenne. (French) [Remarks on some mean formulas]. Archivum Mathematicum, vol. 5 (1969), issue 3, pp. 147-155
• Malec, Marian: Sur les intégrales d'une équation différentielle ordinaire, linéaire et homogène et sur une classification des fonctions de classe $C^\infty$ dans l'intervalle $\Delta$. (French) [On solutions of a linear homogeneous ordinary differential equation and on classification of functions in the class $C^\infty$ in the interval $\Delta$]. Archivum Mathematicum, vol. 3 (1967), issue 3, pp. 105-115
• Jarník, Vojtěch: Dodatek: O derivovaných číslech funkcí jedné proměnné. (Czech) [Supplement: On the Dini derivatives of functions of a single variable]. In: Čech, Eduard; Jarník, Vojtěch: Bodové množiny. S dodatkem „O derivovaných číslech funkcí jedné proměnné”. (Czech). Praha: Jednota Československých matematiků a fysiků, 1936. pp. 245-265
• Jarník, Vojtěch O derivovaných číslech funkcí jedné reálné proměnné (Czech) [On the Dini derivatives of functions of a single variable]. Appendix to E. Čech: Bodové množiny (Point Sets), Praha 1936, pp. 245--265
• Jarník, Vojtěch Sur la dérivée approximative unilatérale (French) [On the one-sided aproximative derivative]. Věstník Král. čes. spol. nauk. 1934, No. 9, 10 p.
• Jarník, Vojtěch O derivaci funkce jedné proměnné (Czech) [On the derivative of a function of one variable]. Rozpravy Čes. akademie, II. tř., XXXII (1923), No. 5, 8 p.
• Jarník, Vojtěch O rozšíření definičního oboru funkcí jedné proměnné, přičemž zůstává zachována derivabilita funkce (Czech) [On the extension of the domain of a function preserving differentiability of the function]. Rozpravy Čes. akademie, II. tř., XXXII (1923), No. 15, 15 p.
• Jarník, Vojtěch O číslech derivovaných funkcí jedné reálné proměnné (Czech) [On derivative numbers of functions of a real variable]. Čas. pro pěst. mat. a fys. 53 (1923), pp. 98--101
• Lerch, Matyáš Poznámka z theorie funkcí (Czech) [Remarks on function theory]. Rozpravy Čes. akademie, II. tř., 9 (1900), č. 8, 1--5
• Zahradník, Karel: O hmotě trojosého ellipsoidu. (Czech) [On the mass of an ellipsoid with three axes]. Časopis pro pěstování mathematiky a fysiky, vol. 8 (1879), issue 4, pp. 188-189