Ostrowski type inequalities for functions whose derivatives are $h$-convex in absolute value

Sever S. Dragomir

doi:10.2478/tmj-2014-0001

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Home > Journals > Tbilisi Math. J. > Volume 7 > Issue 1 > Article

2014 Ostrowski type inequalities for functions whose derivatives are $h$-convex in absolute value

Sever S. Dragomir

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Sever S. Dragomir¹
¹Mathematics, College of Engineering & Science, Victoria University; School of Computational & Applied Mathematics, University of the Witwatersrand

Tbilisi Math. J. 7(1): 1-17 (2014). DOI: 10.2478/tmj-2014-0001

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Abstract

Some new inequalities of Ostrowski type for functions whose derivatives are $h$-convex in modulus are given. Applications for midpoint inequalities are provided as well.

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Sever S. Dragomir. "Ostrowski type inequalities for functions whose derivatives are $h$-convex in absolute value." Tbilisi Math. J. 7 (1) 1 - 17, 2014. https://doi.org/10.2478/tmj-2014-0001

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Received: 27 November 2013; Accepted: 21 February 2014; Published: 2014

First available in Project Euclid: 12 June 2018

zbMATH: 1304.26018

MathSciNet: MR3313040

Digital Object Identifier: 10.2478/tmj-2014-0001

Subjects:

Primary: 26D15

Secondary: 25D10

Keywords: $h$-Convex functions , absolutely continuous functions , Convex functions , integral inequalities , Lebesgue norms , Ostrowski inequality

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Sever S. Dragomir "Ostrowski type inequalities for functions whose derivatives are $h$-convex in absolute value," Tbilisi Mathematical Journal, Tbilisi Math. J. 7(1), 1-17, (2014)

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