Some new inequalities for trigonometric functions and corresponding ones for means
Zhen-Hang Yang
TL;DR
This paper proves new inequalities relating trigonometric functions to hyperbolic functions and derives corresponding inequalities for various means, expanding the mathematical understanding of these relationships.
Contribution
It introduces novel inequalities connecting trigonometric and hyperbolic functions and extends these results to inequalities involving means.
Findings
New inequalities for trigonometric functions proved.
Corresponding inequalities for means established.
Enhanced understanding of relationships between functions and means.
Abstract
In this paper, the versions of trigonometric functions of certain known inequalities for hyperbolic ones are proved, and then corresponding inequalities for means are presented.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Analytic and geometric function theory