Articles

MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION

  • MA Xiao-Yan ,
  • CHU Yu-Ming ,
  • WANG Fei
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  • School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China|School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, China|School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received date: 2012-06-27

  Revised date: 2013-06-08

  Online published: 2013-11-20

Supported by

This research was supported by the Natural Science Foundation of China (11071069 and 11171307), and the Natural Science Foundation of the Department of Education of Zhejiang Province (Y201328799).

Abstract

The authors prove some monotonicity properties of functions involving the generalized Agard distortion function ηK(a, t), and obtain some inequalities for ηK(a, t) and relative distortion functions.

Cite this article

MA Xiao-Yan , CHU Yu-Ming , WANG Fei . MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION[J]. Acta mathematica scientia, Series B, 2013 , 33(6) : 1759 -1766 . DOI: 10.1016/S0252-9602(13)60121-6

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