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January 2016 Jessen-type inequalities for several variables via superquadratic functions
Rabia Bibi
Banach J. Math. Anal. 10(1): 120-132 (January 2016). DOI: 10.1215/17358787-3336606

Abstract

In this paper, we give the generalizations of Jessen’s inequality, Hölder’s inequality, the converse Jessen inequality, and the Jessen–Mercer inequality for superquadratic functions of several variables. We also give applications of the obtained inequalities to time-scale integrals.

Citation

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Rabia Bibi. "Jessen-type inequalities for several variables via superquadratic functions." Banach J. Math. Anal. 10 (1) 120 - 132, January 2016. https://doi.org/10.1215/17358787-3336606

Information

Received: 14 February 2015; Accepted: 21 April 2015; Published: January 2016
First available in Project Euclid: 11 November 2015

zbMATH: 1334.26040
MathSciNet: MR3453527
Digital Object Identifier: 10.1215/17358787-3336606

Subjects:
Primary: 26D15
Secondary: 26A51‎ , 34N05

Keywords: converse Jessen inequality , Jessen inequality , Jessen–Mercer inequality , superquadratic functions , time-scale integrals

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.10 • No. 1 • January 2016
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