Articles

MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS

  • Miaokun WANG ,
  • Wen ZHANG ,
  • Yuming CHU
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  • 1. Department of Mathematics, Huzhou University, Huzhou 313000, China;
    2. Friedman Brain Institute, Icahn School of Medicine at Mount Sinai, New York, NY 10029, USA;
    3. College of Science, Hunan City University, Yiyang 313000, China

Received date: 2016-03-29

  Revised date: 2019-01-03

  Online published: 2019-11-11

Supported by

This research was supported by the Natural Science Foundation of China (11701176, 61673169, 11301127, 11626101, 11601485), and the Science and Technology Research Program of Zhejiang Educational Committee (Y201635325).

Abstract

We establish the monotonicity and convexity properties for several special functions involving the generalized elliptic integrals, and present some new analytic inequalities.

Cite this article

Miaokun WANG , Wen ZHANG , Yuming CHU . MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS[J]. Acta mathematica scientia, Series B, 2019 , 39(5) : 1440 -1450 . DOI: 10.1007/s10473-019-0520-z

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