ON ANDERSSON'S INEQUALITY FOR HYPERBOLICALLY CONVEX FUNCTIONS

被引：1

作者：

Faried, Nashat ^{[1
]}

Ali, Mohamed S. S. ^{[2
]}

Yehia, Zeinab M. ^{[2
]}

机构：

[1] Ain Shams Univ, Dept Math, Fac Sci, Cairo, Egypt

[2] Ain Shams Univ, Dept Math, Fac Educ, Cairo, Egypt

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期

关键词：

Generalized convex functions; hyperbolically convex functions; supporting functions; integral inequalities;

D O I：

10.31801/cfsuasmas.434525

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use Andersson's Inequality for ordinary convex functions to prove a similar inequalities concerning hyperbolically convex functions.

引用

页码：528 / 537

页数：10

共 6 条

[1] Ali M. S. S., 2016, Abstr. Appl. Anal., V2016, DOI [10.1155/2016/4652038, DOI 10.1155/2016/4652038]
[2] Andersson B.J, 1968, NORDISK MATEMATISK T, V6, P25
[3] Beckenbach E.F., 1937, Bull. Amer. Math. Soc, V43, P363, DOI [10.1090/s0002-9904-1937-06549-9, DOI 10.1090/S0002-9904-1937-06549-9]
[4] ON GENERALIZED CONVEX FUNCTIONS
BECKENBACH, EF
BING, RH
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 58 (SEP) : 220 - 230
[5] Daalhuis Olde, 2010, NIST HDB MATH FUNCTI
[6] Roberts A. W., 1973, Convex Functions

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