On Some Integral Means
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2020-01-06 v2
Abstract
Harmonic, Geometric, Arithmetic, Heronian and Contraharmonic means have been studied by many mathematicians. In 2003, H. Evens studied these means from geometrical point of view and established some of the inequalities between them in using a circle and its radius. In 1961, E. Beckenback and R. Bellman introduced several inequalities corresponding to means. In this paper, we will introduce the concept of mean functions and integral means and give bounds on some of these mean functions and integral means.
Cite
@article{arxiv.1809.00377,
title = {On Some Integral Means},
author = {Fariba Khoshnasib-Zeinabad and Mohammadhossein Mehrabi},
journal= {arXiv preprint arXiv:1809.00377},
year = {2020}
}
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16 pages