数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (6): 1759-1766.doi: 10.1016/S0252-9602(13)60121-6

• 论文 • 上一篇    下一篇

MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION

马晓艳|褚玉明*|王飞   

  1. 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
  • 收稿日期:2012-06-27 修回日期:2013-06-08 出版日期:2013-11-20 发布日期:2013-11-20
  • 通讯作者: 褚玉明,chuyuming@hutc.zj.cn E-mail:maxiaoyanzist@yahoo.com.cn; chuyuming@hutc.zj.cn; 75519363@qq.com
  • 基金资助:

    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).

MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION

 MA Xiao-Yan, CHU Yu-Ming*, WANG Fei   

  1. 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:2012-06-27 Revised:2013-06-08 Online:2013-11-20 Published:2013-11-20
  • Contact: CHU Yu-Ming,chuyuming@hutc.zj.cn E-mail:maxiaoyanzist@yahoo.com.cn; chuyuming@hutc.zj.cn; 75519363@qq.com
  • 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).

摘要:

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.

关键词: generalized modular equation, generalized η-distortion function, monotonic-ity, inequality

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.

Key words: generalized modular equation, generalized η-distortion function, monotonic-ity, inequality

中图分类号: 

  • 33C05