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Optimal bounds for the tangent and hyperbolic sine means

Monika Nowicka, Alfred Witkowski

2020Aequationes Mathematicae15 citationsDOIOpen Access PDF

Abstract

Abstract We provide optimal bounds for the tangent and hyperbolic sine means in terms of various weighted means of the arithmetic and geometric means.

Topics & Concepts

MathematicsTangentSineHyperbolic functionInverse trigonometric functionsTangent vectorMathematical analysisGeometryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematics and Applications
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