| Title:
|
A sharpening of discrete analogues of Wirtinger's inequality (English) |
| Author:
|
Novotná, Jarmila |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
108 |
| Issue:
|
1 |
| Year:
|
1983 |
| Pages:
|
70-77 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26D15 |
| idZBL:
|
Zbl 0521.26008 |
| idMR:
|
MR694141 |
| DOI:
|
10.21136/CPM.1983.118159 |
| . |
| Date available:
|
2009-09-23T09:19:08Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118159 |
| . |
| Reference:
|
[1] W. Blaschke: Kreis und Kugel.Leipzig 1916, 1956. MR 0077958 |
| Reference:
|
[2] H. D. Block: Discrete Analogues of Certain Integral Inequalities.Proc. Amer. Math. Soc., 8, No. 4, 1957, pp. 852-859. Zbl 0081.04504, MR 0092831 |
| Reference:
|
[3] K. Fan O. Taussky J. Todd: Discrete Analogs of Inequalities of Wirtinger.Monatsh. Math., 59, 1955, pp. 73-90. MR 0070676 |
| Reference:
|
[4] Z. Nádeník: Die Verschärfung einer Ungleichung von Frobenius für den gemischten Flächeninhalt der konvexen ebenen Bereiche.Čas. pěst. mat., 90, 1965, pp. 220-225. MR 0192411 |
| Reference:
|
[5] J. Novotná: Discrete Analogues of Some Functional Inequalities.(Czech). Sborník XIV. celostátní konference o matematice na VŠTEZ, Gottwaldov 1978, pp. 115-124. |
| Reference:
|
[6] J. Novotná: Variations of Discrete Analogues of Wirtinger's Inequalitу.Čas. pěst. mat., 105, 1980, pp. 278-285. MR 0588678 |
| Reference:
|
[7] I. J. Schoenberg: The Finite Fourier Series and Elementarу Geometrу.Amer. Math. Monthlу, 57, 1950, pp. 390-404. MR 0036332 |
| Reference:
|
[8] O. Shisha: On the Discrete Veгsion of Wirtinger's Inequalitу.Amer. Math. Monthlу, 1973, pp. 755-760. MR 0322688 |
| . |
