On two new means of two arguments III

Barkat Ali Bhayo; József Sándor

On two new means of two arguments III

Classical Analysis and ODEs 2017-11-09 v2

Authors: Barkat Ali Bhayo , József Sándor

Abstract

In this paper authors establish the two sided inequalities for the following two new means $X=X(a,b)=Ae^{G/P-1},\quad Y=Y(a,b)=Ge^{L/A-1}.$ As well as many other well known inequalities involving the identric mean $I$ and the logarithmic mean are refined from the literature as an application.

Keywords

two-variable means two-sided inequalities identric mean logarithmic mean refinement of inequalities new means classical analysis

Cite

@article{arxiv.1703.06608,
  title  = {On two new means of two arguments III},
  author = {Barkat Ali Bhayo and József Sándor},
  journal= {arXiv preprint arXiv:1703.06608},
  year   = {2017}
}

Comments

14. arXiv admin note: substantial text overlap with arXiv:1509.01977

On two new means of two arguments III

Abstract

Keywords

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