Some new integral inequalities via riemann-liouville integral operators

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/29861

Title:	Some new integral inequalities via riemann-liouville integral operators
Authors:	Ekinci, Alper Bursa Uludağ Üniversitesi/Eğitim Fakültesi/Matematik ve Fen Bilimleri Eğitimi Bölümü. Özdemir, Muhamet Emin AAH-1091-2021
Keywords:	Riemann-Liouville fractional integrals Convexity Hermite-Hadamard inequality Holder's inequality Mathematics
Issue Date:	2019
Publisher:	Ministry Communications & High Technologies Republic Azerbaijan
Citation:	Ekinci, A. ve Özdemir, M. E. (2019). ''Some new integral inequalities via riemann-liouville integral operators''. Applied and Computational Mathematics, 18(3), 288-295.
Abstract:	This paper aims to obtain new inequalities for the class of functions whose absolute values of first derivatives are convex on [a, b]. First we establish obtain a new integral identity by separating [a, b] to s equal subintervals. Then we some Hermite-Hadamard type inequalities involving intermediate values of vertical bar f'vertical bar by using Riemann-Liouville fractional operator. Also, we have given some results for special values of s and alpha.
URI:	http://hdl.handle.net/11452/29861
ISSN:	1683-3511 1683-6154
Appears in Collections:	Web of Science

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