Some inequalities for logarithm with applications to weighted means

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Dragomir, Sever S ORCID: 0000-0003-2902-6805 (2020) Some inequalities for logarithm with applications to weighted means. Palestine Journal of Mathematics, 9 (1). pp. 537-548. ISSN 2219-5688

Abstract

In this paper we establish several inequalities for logarithm and apply them to obtain some new inequalities involving weighted arithmetic mean, geometric mean and harmonic mean of n-tuples of positive sequences. The case of two positive numbers and an analysis of which bound is better and when are also considered.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/42372
Official URL https://pjm.ppu.edu/paper/668
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords weighted arithmetic mean; geometric mean; harmonic mean; positive number; logarithmic inequalities
Citations in Scopus 0 - View on Scopus
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