Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Novotná, Jarmila. A sharpening of discrete analogues of Wirtinger's inequality. Časopis pro pěstování matematiky, Tome 108 (1983) no. 1, pp. 70-77. doi: 10.21136/CPM.1983.118159
@article{10_21136_CPM_1983_118159,
author = {Novotn\'a, Jarmila},
title = {A sharpening of discrete analogues of {Wirtinger's} inequality},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {70--77},
year = {1983},
volume = {108},
number = {1},
doi = {10.21136/CPM.1983.118159},
mrnumber = {694141},
zbl = {0521.26008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1983.118159/}
}
TY - JOUR AU - Novotná, Jarmila TI - A sharpening of discrete analogues of Wirtinger's inequality JO - Časopis pro pěstování matematiky PY - 1983 SP - 70 EP - 77 VL - 108 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1983.118159/ DO - 10.21136/CPM.1983.118159 LA - en ID - 10_21136_CPM_1983_118159 ER -
[1] W. Blaschke: Kreis und Kugel. Leipzig 1916, 1956. | MR
[2] H. D. Block: Discrete Analogues of Certain Integral Inequalities. Proc. Amer. Math. Soc., 8, No. 4, 1957, pp. 852-859. | MR | Zbl
[3] K. Fan O. Taussky J. Todd: Discrete Analogs of Inequalities of Wirtinger. Monatsh. Math., 59, 1955, pp. 73-90. | MR
[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
[5] J. Novotná: Discrete Analogues of Some Functional Inequalities. (Czech). Sborník XIV. celostátní konference o matematice na VŠTEZ, Gottwaldov 1978, pp. 115-124.
[6] J. Novotná: Variations of Discrete Analogues of Wirtinger's Inequalitу. Čas. pěst. mat., 105, 1980, pp. 278-285. | MR
[7] I. J. Schoenberg: The Finite Fourier Series and Elementarу Geometrу. Amer. Math. Monthlу, 57, 1950, pp. 390-404. | MR
[8] O. Shisha: On the Discrete Veгsion of Wirtinger's Inequalitу. Amer. Math. Monthlу, 1973, pp. 755-760. | MR
Cité par Sources :