Bernstein-Doetsch type results for s-convex functions

被引：0

作者：

Burai, Pal ^{[1
]}

Hazy, Attila ^{[2
]}

Juhasz, Tibor ^{[3
]}

机构：

[1] Univ Debrecen, Dept Appl Math & Probabil Theory, H-4010 Debrecen, Hungary

[2] Univ Miskolc, Dept Appl Math, H-3515 Miskolc, Hungary

[3] Eszterhazy Karoly Coll, Inst Math & Informat, H-3300 Eger, Hungary

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2009年 / 75卷 / 1-2期

基金：

匈牙利科学研究基金会;

关键词：

convexity; Jensen-convexity; s-Jensen-convexity; s-convexity; Bernstein-Doetsch theorem; regularity properties of generalized convex functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As a possible generalization of the concept of s-convexity due to BRECKNER [2], we introduce the so-called (H, s)-convexity. Besides collecting some facts on this type of functions, the main goal of this paper is to prove some regularity properties of (H, s)-convex functions.

引用

页码：23 / 31

页数：9

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