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Integral inequalities via fractional quantum calculus

Journal of Inequalities and Applications (2016) 2016(1) 1-15
DOI: 10.1186/s13660-016-1024-1
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Abstract

In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator (Formula presented.) introduced in Tariboon et al. (Adv. Differ. Equ. 2015:18, 2015), such as: the q-Hölder inequality, the q-Hermite-Hadamard inequality, the q-Cauchy-Bunyakovsky-Schawrz integral inequality, the q-Grüss integral inequality, the q-Grüss-Čebyšev integral inequality, and the q-Pólya-Szegö integral inequality.

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Sudsutad, W., Ntouyas, S. K., & Tariboon, J. (2016). Integral inequalities via fractional quantum calculus. Journal of Inequalities and Applications, 2016(1), 1–15. https://doi.org/10.1186/s13660-016-1024-1

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