Some New Integral Inequalities for Several Kinds of Convex Functions
M. Emin Ozdemir, Alper Ekinci, Ahmet Ocak Akdemir
TL;DR
This paper introduces new integral inequalities applicable to various convex functions, expanding the mathematical tools available for analyzing convexity through classical inequalities.
Contribution
It presents novel integral inequalities for multiple classes of convex functions using elementary and classical inequalities like Cauchy and Minkowski.
Findings
New integral inequalities for convex functions
Applications of classical inequalities to convex analysis
Enhanced bounds for convex function integrals
Abstract
In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski inequality.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Analytic and geometric function theory