A Generalization of m-Convexity and a Sandwich Theorem-Reference-Cited by-同舟云学术

A Generalization of m-Convexity and a Sandwich Theorem

Published:2017-09-13 Issue:1 Volume:31 Page:107-126
ISSN:0860-2107
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Lara Teodoro¹,Matkowski Janusz²,Merentes Nelson³,Quintero Roy⁴,Wróbel Małgorzata⁵

Affiliation:

1. Universidad de los Andes, N. U. Rafael Rangel, Trujillo , Venezuela

2. Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4A, 65-516 Zielona Góra , Poland

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

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

5. Institute of Mathematics, Czestochowa University of Technology, al. Armii Krajowej 21, 42-200 Czestochowa , Poland

Abstract

Abstract Functional inequalities generalizing m-convexity are considered. A result of a sandwich type is proved. Some applications are indicated.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference16 articles.

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2. [2] Aumann G., Konvexe Funktionen und Induktion bei Ungleichungen zwischen Mittelverten, S.-B. math.-naturw. Abt. Bayer. Akad. Wiss. München 1933, pp. 405-413.

3. [3] Baron K., Matkowski J., Nikodem K., A sandwich with convexity, Math. Pannonica 5 (1994), no. 1, 139-144.

4. [4] Daróczy Z., Páles Zs., Convexity with given infinite weight sequences, Stochastica 11 (1987), 5-12.

5. [5] Dragomir S.S., Toader G.H., Some inequalities for m-convex functions, Studia Univ. Babes-Bolyai Math. 38 (1993), no. 1, 21-28.

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