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Harmonic Hermite–Hadamard Inequalities Involving Mittag-Leffler Function Read chapter Read first chapter

2021 | OriginalPaper | Chapter

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

Authors : Artion Kashuri, Themistocles M. Rassias

Published in: Approximation Theory and Analytic Inequalities

Publisher: Springer International Publishing

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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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previous chapter Some New Refinement of Gauss–Jacobi and Hermite–Hadamard Type Integral Inequalities
next chapter New Trapezoid Type Inequalities for Generalized Exponentially Strongly Convex Functions
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Metadata
Title
New Trapezium Type Inequalities for Preinvex Functions Via Generalized Fractional Integral Operators and Their Applications
Authors
Artion Kashuri
Themistocles M. Rassias
Copyright Year
2021
Book
Approximation Theory and Analytic Inequalities

Print ISBN: 978-3-030-60621-3

Electronic ISBN: 978-3-030-60622-0

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-60622-0_14

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