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Sharp bounds for Neuman means with applications.

Authors :
Fang-Li Xia
Wei-Mao Qian
Shu-Bo Chen
Yu-Ming Chu
Source :
Journal of Nonlinear Sciences & Applications (JNSA); 2016, Vol. 9 Issue 5, p2031-2038, 8p
Publication Year :
2016

Abstract

In the article, we present the sharp bounds for the Neuman mean NAG(a; b), NGA(a; b), NQA(a; b) and NAQ(a; b) in terms of the convex combinations of the arithmetic and one-parameter harmonic and contraharmonic means. As applications, we find several sharp inequalities for the first Seiffert, second Seiffert, Neuman-Sándor and logarithmic means. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20081898
Volume :
9
Issue :
5
Database :
Complementary Index
Journal :
Journal of Nonlinear Sciences & Applications (JNSA)
Publication Type :
Academic Journal
Accession number :
119031520
Full Text :
https://doi.org/10.22436/jnsa.009.05.09