Two Theorems for ({\alpha},m)-convex functions
M. Emin Ozdemir, Merve Avci Ardic
TL;DR
This paper introduces new inequalities for ({\alpha},m)-convex functions using elementary analysis and Power-mean inequality, expanding the theoretical understanding of this class of functions.
Contribution
The paper presents novel inequalities for ({\alpha},m)-convex functions, providing a simpler proof technique based on Power-mean inequality.
Findings
New inequalities for ({\alpha},m)-convex functions
Elementary proof methods using Power-mean inequality
Enhanced theoretical framework for ({\alpha},m)-convex functions
Abstract
In this paper, we obtain some new inequalities for ({\alpha},m)-convex functions. The analysis used in the proofs is fairly elementary and based on the use of Power-mean inequality.
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Taxonomy
TopicsMathematical Inequalities and Applications · Optimization and Variational Analysis