Montgomery identities and Ostrowski type inequalities for fractional integral operators
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, vol.113, no.2, pp.1059-1080, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 113 Issue: 2
- Publication Date: 2019
- Doi Number: 10.1007/s13398-018-0534-8
- Journal Name: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1059-1080
- Kocaeli University Affiliated: No
Abstract
In this study, we first obtain some generalized Montgomery identities for generalized fractional integral operator. Then, using these identities, we establish some Ostrowski type inequalities for function whose derivatives are bounded. We further obtain generalized inequalities for mappings whose absolute value of derivatives are convex.