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Computational Mathematics and Variational Analysis pp 135–151Cite as

Some New Ostrowski Type Integral Inequalities via General Fractional Integrals

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 159))

Abstract

In this paper, authors discover an interesting identity regarding Ostrowski type integral inequalities. By using the lemma as an auxiliary result, some new estimates with respect to Ostrowski type integral inequalities via general fractional integrals are obtained. It is pointed out that some new special cases can be deduced from main results. Some applications to special means for different real numbers and new error estimates for the midpoint formula are provided as well. The ideas and techniques of this paper may stimulate further research.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Technical Science, University Ismail Qemali of Vlora, Vlorë, Albania

    Artion Kashuri

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

Authors
  1. Artion Kashuri
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  2. Themistocles M. Rassias
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Hellenic Military Academy, Vari Attikis, Greece

    Nicholas J. Daras

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Kashuri, A., Rassias, T.M. (2020). Some New Ostrowski Type Integral Inequalities via General Fractional Integrals. In: Daras, N., Rassias, T. (eds) Computational Mathematics and Variational Analysis. Springer Optimization and Its Applications, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-030-44625-3_8

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