Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 787939, 7 pages
doi:10.1155/2011/787939
Research Article

Fractional Quantum Integral Inequalities

Hasan Öğünmez and Umut Mutlu Özkan

Department of Mathematics, Faculty of Science and Arts, Kocatepe University, 03200 Afyonkarahisar, Turkey

Received 10 November 2010; Revised 19 January 2011; Accepted 16 February 2011

Academic Editor: J. Szabados

Copyright © 2011 Hasan Öğünmez and Umut Mutlu Özkan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The aim of the present paper is to establish some fractional 𝑞 -integral inequalities on the specific time scale, 𝕋 𝑡 0 = { 𝑡 ∶ 𝑡 = 𝑡 0 𝑞 𝑛 , 𝑛 a nonnegative integer } ∪ { 0 } , where 𝑡 0 ∈ ℝ , and 0 < 𝑞 < 1 .