Hermite-Hadamard type inequalities for Wright-convex functions of several variables
D. \'Sliwi\'nska, Sz. Wasowicz
TL;DR
This paper extends Hermite-Hadamard inequalities to Wright-convex, strongly convex, and strongly Wright-convex functions of multiple variables on simplices, providing new bounds and insights.
Contribution
It introduces Hermite-Hadamard type inequalities specifically for Wright-convex functions in multiple variables, expanding the theoretical framework.
Findings
Derived new inequalities for Wright-convex functions
Extended classical inequalities to multivariable settings
Provided bounds for strongly convex and strongly Wright-convex functions
Abstract
We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results