Hölder Mean Inequalities for the Generalized Grötzsch Ring and Hersch–pfluger Distortion Functions

نویسندگان

  • SONG-LIANG QIU
  • YE-FANG QIU
  • MIAO-KUN WANG
  • YU-MING CHU
  • M. K. VAMANAMURTHY
چکیده

In this paper, we study the monotonicity properties of the generalized elliptic integrals and establish two Hölder mean inequalities for the generalized Grötzsch ring function μa(r) and the generalized Hersch-Pfluger distortion function φa K(r) . Mathematics subject classification (2010): 30C62, 33E05.

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تاریخ انتشار 2012