| Title:
|
Inequality between sides and diagonals of a space $n$-gon and its integral analog (English) |
| Title:
|
Nerovnost mezi stranami a úhlopříčkami prostorového $n$-úhelníka a její diskrétní analogie (Czech) |
| Author:
|
Pech, Pavel |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
115 |
| Issue:
|
4 |
| Year:
|
1990 |
| Pages:
|
343-350 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| MSC:
|
52A40 |
| idZBL:
|
Zbl 0722.52006 |
| idMR:
|
MR1090858 |
| DOI:
|
10.21136/CPM.1990.118412 |
| . |
| Date available:
|
2009-09-23T09:59:49Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118412 |
| . |
| Reference:
|
[1] L. Gerber: Napoleon's theorem and the parallelogram inequality for affine-regular polygons.Аmer. Math. Monthly 87 (1980), 644-648. Zbl 0458.51018, MR 0600923 |
| Reference:
|
[2] D. S. Mitrinovič: Analytic inequalities.Ѕpringer, Berlin, 1970. MR 0279261 |
| Reference:
|
[3] I. J. Schoenberg: The finite Fourier series and elementary geometry.Amer. Math. Monthly 57 (1950), 390-404. Zbl 0038.35602, MR 0036332 |
| Reference:
|
[4] G. Szegö: Orthogonal polynomials.Amer. Math. Ѕoc. XXIII, New York, 1939. |
| Reference:
|
[5] W. Blaschke: Kгeis und Kugel.2nd edition, Gruyter, Berlin, 1956. MR 0077958 |
| Reference:
|
[6] B. H. Neumann: Ѕome remarks on polygons.Ј. London Math. Ѕoc. 16 (1941), 230-245. MR 0006839 |
| Reference:
|
[7] K. Fan O. Taussky J. Todd: Discrete аnаlogs of inequаlities of Wirtinger.Monаtsh. Mаth. 59 (1955), 73-90. MR 0070676 |
| . |
