Logarithmic mean inequality for generalized trigonometric and hyperbolic functions
Barkat Ali Bhayo, Li Yin
TL;DR
This paper investigates the convexity and concavity properties of generalized trigonometric and hyperbolic functions using the logarithmic mean, providing new insights into their mathematical behavior.
Contribution
It introduces a novel analysis of these functions' properties based on the logarithmic mean, expanding understanding beyond classical approaches.
Findings
Established convexity and concavity conditions for generalized functions
Derived inequalities related to logarithmic mean and generalized functions
Enhanced theoretical framework for analyzing generalized trigonometric and hyperbolic functions
Abstract
In this paper we study the convexity and concavity properties of generalized trigonometric and hyperbolic functions in case of Logarithmic mean.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Differential Equations and Boundary Problems