Проблемы анализа (Mar 2018)

ON TWO NEW MEANS OF TWO ARGUMENTS III

  • Sandor J.,
  • Bhayo B. A.

Journal volume & issue
Vol. 7(25), no. 1
pp. 116 – 133

Abstract

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In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P-1), Y=Y(a,b)=Ge^(L/A-1), where A, G, L and P are the arithmetic, geometric, logarithmic, and Seiffert means, respectively. As an application, we refine many other well known inequalities involving the identric mean I and the logarithmic mean L.

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