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Some New Ostrowski Type Integral Inequalities via General Fractional Integrals

In: Computational Mathematics and Variational Analysis

Author

Listed:
  • Artion Kashuri

    (University Ismail Qemali of Vlora)

  • Themistocles M. Rassias

    (National Technical University of Athens)

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.

Suggested Citation

  • Artion Kashuri & Themistocles M. Rassias, 2020. "Some New Ostrowski Type Integral Inequalities via General Fractional Integrals," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Computational Mathematics and Variational Analysis, pages 135-151, Springer.
  • Handle: RePEc:spr:spochp:978-3-030-44625-3_8
    DOI: 10.1007/978-3-030-44625-3_8
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