A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean

DOI10.7153/jmi-2021-15-41zbMath1472.33001OpenAlexW3176631108MaRDI QIDQ5000417

Miao-Ying Hong, Miao-Kun Wang, Yu-Ming Chu

Publication date: 13 July 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-41

zbMATH Keywords

convexitypower meangeneralized inverse trigonometric sine functiongeneralized trigonometric sine function

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)

Related Items (2)

On the generalized power-type Toader mean ⋮ Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means

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