Bernstein-Doetsch Type Theorems with Tabor Type Error Terms for Set-Valued Maps

被引：5

作者：

Gilanyi, Attila ^{[1
]}

Gonzalez, Carlos ^{[2
]}

Nikodem, Kazimierz ^{[3
]}

Pales, Zsolt ^{[4
]}

机构：

[1] Univ Debrecen, Fac Informat, Egyet Ter 1, H-4032 Debrecen, Hungary

[2] Univ Cent Venezuela, Escuela Matemat, Caracas, Venezuela

[3] Univ Bielsko Biala, Dept Math, Ul Willowa 2, PL-43309 Bielsko Biala, Poland

[4] Univ Debrecen, Inst Math, Egyet Ter 1, H-4032 Debrecen, Hungary

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2017年 / 25卷 / 02期

基金：

匈牙利科学研究基金会;

关键词：

K-Jensen convexity/concavity; Set-valued map; Tabor transform; Approximate convexity; Strong convexity; HERMITE-HADAMARD INEQUALITIES; TAKAGI TYPE FUNCTIONS; CONVEX-FUNCTIONS; APPROXIMATE MIDCONVEXITY;

D O I：

10.1007/s11228-016-0390-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate set-valued maps of strongly and approximately Jensen convex and Jensen concave type. We present counterparts of the Bernstein-Doetsch Theorem with Tabor type error terms.

引用

页码：441 / 462

页数：22

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