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A sharp double inequality involving generalized complete elliptic integral of the first kind

Tie‐Hong Zhao, Miao-Kun Wang, Yu‐Ming Chu

2020AIMS Mathematics209 citationsDOIOpen Access PDF

Abstract

In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.

Topics & Concepts

GeneralizationMathematicsElliptic integralInequalityMultiple integralPure mathematicsMathematical analysisKantorovich inequalityRearrangement inequalityBernoulli's inequalityCalculus (dental)Log sum inequalityLinear inequalityDentistryMedicineMathematical Inequalities and ApplicationsDifferential Equations and Boundary ProblemsAdvanced Harmonic Analysis Research