DISCRETE WIRTINGER AND ISOPERIMETRIC TYPE INEQUALITIES

被引：14

作者：

TANG, DY ^{[1
]}

机构：

[1] COKER COLL,DEPT SCI & MATH,HARTSVILLE,SC 29550

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1991年 / 43卷 / 03期

关键词：

D O I：

10.1017/S0004972700029312

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give some new types of inequalities which can be regarded as discrete forms of the Wirtinger inequality and several new isoperimetric-type inequalities.

引用

页码：467 / 474

页数：8

共 50 条

[21] Wirtinger type inequalities for higher order differentiable functions
Erden, Samet
TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (03) : 656 - 661
[22] INTEGRAL INEQUALITIES OF POINCARE AND WIRTINGER TYPE FOR BV FUNCTIONS
MEYERS, NG
ZIEMER, WP
AMERICAN JOURNAL OF MATHEMATICS, 1977, 99 (06) : 1345 - 1360
[23] SOME DYNAMIC WIRTINGER-TYPE INEQUALITIES AND THEIR APPLICATIONS
Agarwal, Ravi P.
Bohner, Martin
O'Regan, Donal
Saker, Samir H.
PACIFIC JOURNAL OF MATHEMATICS, 2011, 252 (01) : 1 - 18
[24] SOME NEW WIRTINGER TYPE INEQUALITIES FOR η-CONVEX FUNCTIONS
Set, Erhan
Akdemir, Ahmet Ocak
Sahin, Eda
PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL. 1, 2020, : 368 - 370
[25] A probabilistic take on isoperimetric-type inequalities
Paouris, Grigoris
Pivovarov, Peter
ADVANCES IN MATHEMATICS, 2012, 230 (03) : 1402 - 1422
[26] Isoperimetric inequalities in Riemann surfaces of infinite type
Alvarez, V
Pestana, D
Rodríguez, JM
REVISTA MATEMATICA IBEROAMERICANA, 1999, 15 (02) : 353 - 427
[27] Isoperimetric type inequalities for differential forms on manifolds
Giannetti, F
di Napoli, AP
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2005, 54 (05) : 1483 - 1497
[28] Isoperimetric inequalities of Euclidean type in metric spaces
S. Wenger
Geometric & Functional Analysis GAFA, 2005, 15 : 534 - 554
[29] Isoperimetric inequalities of Euclidean type in metric spaces
Wenger, S
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2005, 15 (02) : 534 - 554
[30] Lyapunov and Wirtinger inequalities
Lee, CF
Yeh, CC
Hong, CH
Agarwal, RP
APPLIED MATHEMATICS LETTERS, 2004, 17 (07) : 847 - 853

← 1 2 3 4 5 →