Optimal bounds for toader mean in terms of geometric and contraharmonic means

Wei Mao Qian, W. E.N. Zhang, Yu Ming Chu

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we present the best possible parameters α 1 , α 2 , α 3 and β 1 , β 2 , β 3 such that the double inequalities (Formula Presented) hold for all a, b > 0 with a ≠ b, where G(a, b) = (Formula Presented) are the geometric, contraharmonic and Toader means of a and b, respectively.

Original languageEnglish
Pages (from-to)514-525
Number of pages12
JournalJournal of Computational Analysis and Applications
Volume28
Issue number3
StatePublished - May 2020
Externally publishedYes

Keywords

  • And phrases
  • Complete elliptic integral
  • Contraharmonic mean
  • Geometric mean
  • Toader mean

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