Journal of Applied Mathematics

A Generalized q -Grüss Inequality Involving the Riemann-Liouville Fractional q -Integrals

Aydin Secer, S. D. Purohit, K. A. Selvakumaran, and Mustafa Bayram

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The aim of this paper is to establish q -extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann-Liouville fractional q -integral operators. The results given earlier by Zhu et al. (2012) and Tariboon et al. (2014) follow the special cases of our findings.

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J. Appl. Math., Volume 2014 (2014), Article ID 914320, 6 pages.

First available in Project Euclid: 2 March 2015

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Secer, Aydin; Purohit, S. D.; Selvakumaran, K. A.; Bayram, Mustafa. A Generalized $q$ -Grüss Inequality Involving the Riemann-Liouville Fractional $q$ -Integrals. J. Appl. Math. 2014 (2014), Article ID 914320, 6 pages. doi:10.1155/2014/914320.

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