Giaccardi inequality for generalized convex functions and related results

In this article, the famous Giaccardi inequality is generalized for modified ( h , m ) -convex functions under the condition that h is a multiplicative positive function. The results are also discussed for different values of h and m . Also, Lagrange and Cauchy type mean value theorems for the funct...

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Bibliographic Details
Published in:	Journal of inequalities and applications Vol. 2023; no. 1; pp. 132 - 11
Main Authors:	Iqbal, Wasim, Rehman, Atiq ur
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 16.10.2023 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Control theory Convex analysis Differential calculus Giaccardi inequality Inequality Mathematics Mathematics and Statistics Modified ( h , m ) $(h,m)$ -convex functions Modified h-convex functions Modified 26A51 26D10 convex functions Giaccardi inequality 26D15
ISSN:	1029-242X, 1025-5834, 1029-242X
Online Access:	Get full text
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