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Some Hermite-Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel.

Authors :
BUDAK, HÜSEYIN
SARIKAYA, MEHMET ZEKI
USTA, FUAT
YILDIRIM, HÜSEYIN
Source :
Acta et Commentationes Universitatis Tartuensis de Mathematica. Jun2019, Vol. 23 Issue 1, p25-36. 12p.
Publication Year :
2019

Abstract

We firstly establish Hermite-Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Hölder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14062283
Volume :
23
Issue :
1
Database :
Academic Search Index
Journal :
Acta et Commentationes Universitatis Tartuensis de Mathematica
Publication Type :
Academic Journal
Accession number :
138901328
Full Text :
https://doi.org/10.12697/ACUTM.2019.23.03