Comments on Jensen’s Inequalities-Reference-Cited by-同舟云学术

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Comments on Jensen’s Inequalities

Published:2014-07-01 Issue:03 Volume:2 Page:308-314
ISSN:2321-5666
Container-title:Malaya Journal of Matematik
language:
Short-container-title:Malaya J. Mat.

Author:

Zlatko Pavic

Abstract

The paper gives generalizations of some Jensen type inequalities for convex functions of one variable. The work is based on the methods which use convex combinations in deriving inequalities. The main inequality is applied to the quasi-arithmetic means.

Publisher

MKD Publishing House

Subject

Geology,Ocean Engineering,Water Science and Technology

Reference7 articles.

1. P. S. Bullen, D. S. Mitrinovi´ c, and P. M. Vasi´ c, Means and Their Inequalities, Reidel, Dordrecht, NL, 1988.

2. A. E. Farissi, B. Belaidi, and Z. Latreuch, A variant of Jensen’s inequalities, Malaya Journal of Matematik, 4(2013), 54-60.

3. A. McD. Mercer, A variant of Jensen’s inequality, Journal of Inequalities in Pure and Applied Mathematics, 4(2003), Article 73, 2 pages.

4. C. P. Niculescu, and C. I. Spiridon, New Jensen-type inequalities, arXiv:1207.6877 [math.CA], 7 pages, 2012.

5. Z. Pavi´ c, J. Peˇ cari´ c, and I. Peri´ c, Integral, discrete and functional variants of Jensen’s inequality, Journal of Mathematical Inequalities, 5(2011), 253-264.

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