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

Artion Kashuri () and Themistocles M. Rassias ()
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Artion Kashuri: University Ismail Qemali of Vlora, Faculty of Technical Science, Department of Mathematics
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 251-272 from Springer

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_14

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DOI: 10.1007/978-3-030-60622-0_14

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