On Global Bounds for Generalized Jensen's Inequality

József Sándor

doi:10.15352/afa/1399899833

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Home > Journals > Ann. Funct. Anal. > Volume 4 > Issue 1 > Article

2013 On Global Bounds for Generalized Jensen's Inequality

József Sándor

Ann. Funct. Anal. 4(1): 18-24 (2013). DOI: 10.15352/afa/1399899833

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Abstract

‎We offer a global bound for an abstract Jensen's functional‎. ‎Particularly‎, ‎the results from Simić [Rocky Mount‎. ‎J‎. ‎Math.‎, ‎41‎ ‎(2011)‎, ‎no‎. ‎6‎, ‎2021-2031] are reobtained‎. ‎Applications to integral‎ ‎inequalities and the theory of means are pointed out‎.

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József Sándor. "On Global Bounds for Generalized Jensen's Inequality." Ann. Funct. Anal. 4 (1) 18 - 24, 2013. https://doi.org/10.15352/afa/1399899833

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Published: 2013

First available in Project Euclid: 12 May 2014

zbMATH: 1283.26008

MathSciNet: MR3004207

Digital Object Identifier: 10.15352/afa/1399899833

Subjects:

Primary: 47B65

Secondary: 26B25 , 26D15 , 26E60

Keywords: convex function , ‎global bound , ‎Jensen's discrete inequality , Jensen's integral inequality , ‎mean‎ , mean inequality , Positive linear functional

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