The Hadamard Type Inequalities for M-Convex Functions
Cetin Yildiz, Mustafa Gurbuz, Ahmet Ocak Akdemir
TL;DR
This paper introduces new Hadamard-type inequalities applicable to functions with m-convex derivatives, expanding the mathematical tools available for analyzing such functions and their applications to real number means.
Contribution
It presents novel Hadamard-type inequalities specifically for functions with m-convex derivatives, a new class of inequalities in mathematical analysis.
Findings
Derived new inequalities for m-convex functions
Applied inequalities to special means of real numbers
Extended the scope of Hadamard inequalities
Abstract
In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Approximation Theory and Sequence Spaces