ON TWO NEW MEANS OF TWO ARGUMENTS III

Autor: J. Sandor, B. A. Bhayo
Jazyk: English<br />Russian
Rok vydání: 2018
Předmět:
Zdroj: Проблемы анализа, Vol 7(25), Iss 1 (2018)
Druh dokumentu: article
ISSN: 2306-3424
2306-3432
DOI: 10.15393/j3.art.2018.4210
Popis: 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.
Databáze: Directory of Open Access Journals