| Title:
|
Geometrischer Beweis der diskreten Ungleichung von W. Wirtinger (German) |
| Title:
|
Geometric proof of the discrete inequality of W. Wirtinger (English) |
| Author:
|
Maleček, Kamil |
| Language:
|
German |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
120 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
83-89 |
| Summary lang:
|
German |
| . |
| Category:
|
math |
| . |
| Summary:
|
Die diskrete Ungleichung von W. Wirtinger wird aus den Eigenschaften der auf den mehrdimensionalen Raumen liegenden Polygone gefolgert. (English) |
| Keyword:
|
discrete Wirtinger’s inequality |
| Keyword:
|
regular polygons |
| MSC:
|
26D10 |
| MSC:
|
26D15 |
| MSC:
|
51M16 |
| MSC:
|
51M20 |
| MSC:
|
52A40 |
| idZBL:
|
Zbl 0842.52005 |
| idMR:
|
MR1336948 |
| DOI:
|
10.21136/MB.1995.125892 |
| . |
| Date available:
|
2009-09-24T21:09:14Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125892 |
| . |
| Reference:
|
[1] R. Alexander: Metrix embedding techniques applied to geometric inequalities.Lecture Notes in Math. 490 (1975), 57-65. MR 0405245, 10.1007/BFb0081131 |
| Reference:
|
[2] W. Blaschke: Kreis und Kugel.Leipzig, 1916, 1956. MR 0077958 |
| Reference:
|
[3] H. D. Block: Discrete Analogues of Certain Integral Inequalities.Proc. Amer. Math. Soc. 8 (1957), 852-859. Zbl 0081.04504, MR 0092831, 10.1090/S0002-9939-1957-0092831-X |
| Reference:
|
[4] K. Fan O. Taussky J. Todd: Discrete Analogs of Inequalities of Wirtinger.Monatsh. Math. 59 (1955), 73-90. MR 0070676 |
| Reference:
|
[5] J. Novotná: Discrete Analogues of Wirtinger's Inequality for a Two-Dimensional Array.Čas. pěst. mat. 105 (1980), 354-362. Zbl 0454.26007, MR 0597912 |
| Reference:
|
[6] J. Novotná: A Sharpening of Discrete Analogues of Wirtinger's Inequality.Čas. pěst. mat. 108 (1983), 70-77. Zbl 0521.26008, MR 0694141 |
| Reference:
|
[7] J. Novotná: Discrete Analogues of Certain Inequalities of the Wirtinger Type Involving a Function and Its First and Second Derivatives.Rad Hrvatske akad. znan. umj. mat. 10 (1991), 217-255. MR 1211612 |
| Reference:
|
[8] O. Shisha: On the Discrete Version of Wirtinger's Inequality.Amer. Math. Monthly 80 (1973), 755-760. Zbl 0269.26017, MR 0322688, 10.1080/00029890.1973.11993366 |
| Reference:
|
[9] I. J. Schoenberg: The Finite Fourier Series and Elementary Geometry.Amer. Math. Monthly 57 (1950), 390-404. Zbl 0038.35602, MR 0036332, 10.1080/00029890.1950.11999555 |
| . |
