Jensen-Type Inequalities for (h, g; m)-Convex Functions

Author:

Andrić MajaORCID

Abstract

Jensen-type inequalities for the recently introduced new class of (h,g;m)-convex functions are obtained, and certain special results are indicated. These results generalize and extend corresponding inequalities for the classes of convex functions that already exist in the literature. Schur-type inequalities are given.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference13 articles.

1. Convex Functions, Partial Orderings and Statistical Applications;Pečarić,1992

2. On (h,g;m)-convexity and the Hermite–Hadamard inequality;Andrić;J. Convex Anal.,2021

3. Some inequalities of Hadamard type;Dragomir;Soochow J. Math.,1995

4. On h-convexity

5. Some generalizations of the convexity;Toader;Proc. Colloq. Approx. Optim Cluj-Napoca (Rom.),1984

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