Montgomery identities and Ostrowski type inequalities for fractional integral operators

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Usta F., Budak H., Sarikaya M. Z.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.113, sa.2, ss.1059-1080, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 113 Sayı: 2
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s13398-018-0534-8
• Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.1059-1080
• Kocaeli Üniversitesi Adresli: Hayır

Özet

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.