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.
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页码：441 / 462
页数：22
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