Strong h-Convexity and Separation Theorems-Reference-Cited by-同舟云学术

Strong h-Convexity and Separation Theorems

Published:2016-11-10 Issue: Volume:2016 Page:1-5
ISSN:2314-498X
Container-title:International Journal of Analysis
language:en
Short-container-title:International Journal of Analysis

Author:

Lara Teodoro¹^ORCID,Merentes Nelson²^ORCID,Nikodem Kazimierz³^ORCID

Affiliation:

1. Departamento de Física y Matemáticas, Universidad de los Andes, N. U. Rafael Rangel, Trujillo, Venezuela

2. Universidad Central de Venezuela, Escuela de Matemáticas, Caracas, Venezuela

3. Department of Mathematics, University of Bielsko-Biala, Ul. Willowa 2, 43-309 Bielsko-Biala, Poland

Abstract

Jensen inequality for strongly h-convex functions and a characterization of pairs of functions that can be separated by a strongly h-convex function are presented. As a consequence, a stability result of the Hyers-Ulam type is obtained.

Funder

Central Bank of Venezuela

Publisher

Hindawi Limited

Subject

General Medicine

Link

http://downloads.hindawi.com/archive/2016/7160348.pdf

Reference24 articles.

1. Fundamentals of Convex Analysis

2. Remarks on strongly convex functions

3. On Strongly Convex Functions and Related Classes of Functions

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Interval valued Jensen’s inequalities for h-convex functions on time scales;Arab Journal of Basic and Applied Sciences;2023-05-31

2. Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions;Journal of Function Spaces;2022-06-11

3. New weighted Hermite-Hadamard type inequalities for differentiable strongly convex and strongly quasi-convex mappings;Journal of Mathematical Inequalities;2022

4. Properties of higher order preinvex functions;Numerical Algebra, Control & Optimization;2021

5. Relative Strongly Exponentially Convex Functions;Springer Optimization and Its Applications;2020-09-30