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Montgomery identities and Ostrowski type inequalities for fractional integral operators

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey

    Fuat Usta, Hüseyin Budak & Mehmet Zeki Sarikaya

Authors
  1. Fuat Usta
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  2. Hüseyin Budak
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  3. Mehmet Zeki Sarikaya
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Correspondence to Fuat Usta.

Additional information

This work was supported by Scientific Research Projects Coordination Unit of Düzce University. Project number 2017.05.04.614.

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Usta, F., Budak, H. & Sarikaya, M.Z. Montgomery identities and Ostrowski type inequalities for fractional integral operators. RACSAM 113, 1059–1080 (2019). https://doi.org/10.1007/s13398-018-0534-8

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  • DOI: https://doi.org/10.1007/s13398-018-0534-8

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