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New Trapezium Type Inequalities for Preinvex Functions Via Generalized Fractional Integral Operators and Their Applications

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Approximation Theory and Analytic Inequalities

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Abstract

The authors have proved an identity for trapezium type inequalities of differentiable preinvex functions with respect to another function via generalized integral operator. The obtained results provide unifying inequalities of trapezium type. Various special cases have been identified. Also, some applications of presented results to special means and new error estimates for the trapezium formula have been analyzed. The ideas and techniques of this paper may stimulate further research in the field of integral inequalities.

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Authors and Affiliations

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

    Artion Kashuri

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

    Themistocles M. Rassias

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  1. Artion Kashuri
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  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Kashuri, A., Rassias, T.M. (2021). New Trapezium Type Inequalities for Preinvex Functions Via Generalized Fractional Integral Operators and Their Applications. In: Rassias, T.M. (eds) Approximation Theory and Analytic Inequalities . Springer, Cham. https://doi.org/10.1007/978-3-030-60622-0_14

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