Two new definitions on convexity and related inequalities
Mevlut Tunc
TL;DR
This paper introduces new definitions of convexity based on Young's and Nesbitt's inequalities, and establishes new Hadamard type inequalities for these convex functions.
Contribution
It proposes novel convexity definitions linked to Young and Nesbitt inequalities and derives related Hadamard inequalities, expanding the theoretical framework.
Findings
New convexity definitions using Young's and Nesbitt's inequalities
Established Hadamard type inequalities for these new convex functions
Provided properties and features of the new convexity concepts
Abstract
We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type inequalities for convex functions in the Young and Nesbitt sense.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results