Monotonicity and inequalities related to complete elliptic integrals of the second kind

Fei Wang; Bai-Ni Guo; Feng Qi

doi:10.3934/math.2020176

AIMS Mathematics (Mar 2020)

Monotonicity and inequalities related to complete elliptic integrals of the second kind

Fei Wang,
Bai-Ni Guo,
Feng Qi

Affiliations

Fei Wang: 1 Department of Mathematics, Zhejiang Institute of Mechanical and Electrical Engineering, Hangzhou 310053, Zhejiang, China
Bai-Ni Guo: 2 School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China
Feng Qi: 3 School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China

DOI: https://doi.org/10.3934/math.2020176
Journal volume & issue: Vol. 5, no. 3
pp. 2732 – 2742

Abstract

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In the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the complete elliptic integrals of the second kind.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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