A Power Mean Inequality involving the complete elliptic integrals
Gendi Wang, Xiaohui Zhang, and Yuming Chu
TL;DR
This paper explores a power mean inequality related to a special function defined by complete elliptic integrals, contributing to the mathematical understanding of these functions.
Contribution
It introduces a new power mean inequality involving complete elliptic integrals, expanding the theoretical framework of special functions.
Findings
Established a novel inequality for complete elliptic integrals.
Provided proofs and conditions for the inequality's validity.
Enhanced the mathematical theory of special functions.
Abstract
In this paper the authors investigate a power mean inequality for a special function which is defined by the complete elliptic integrals.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results