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- Title
Integral inequalities via fractional quantum calculus.
- Authors
Sudsutad, Weerawat; Ntouyas, Sotiris; Tariboon, Jessada
- Abstract
In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ. 2015:18, ), 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.
- Subjects
FRACTIONAL integrals; CALCULUS; MATHEMATICAL analysis; MATHEMATICAL functions; INTEGRAL inequalities
- Publication
Journal of Inequalities & Applications, 2016, Vol 2016, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-016-1024-1