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Mathematical Methods in the Applied Sciences
Article . 2020 . Peer-reviewed
License: Wiley Online Library User Agreement
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2021
Data sources: zbMATH Open
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Hermite–Hadamard–Fejér inequalities for generalized conformable fractional integrals

Hermite-Hadamard-Fejér inequalities for generalized conformable fractional integrals
Authors: Sikander Mehmood; Fiza Zafar; Nusrat Yasmin;

Hermite–Hadamard–Fejér inequalities for generalized conformable fractional integrals

Abstract

In this paper, we study generalized definitions of left and right conformable fractional derivative and integrals. Some applications of the generalized definition are also given for the nonlinear fractional differential equations. We also establish identities associated with the left‐ and right‐hand side of Hermite–Hadamard–Fejér inequality for preinvex functions. We, then, give some new bounds for the Hermite–Hadamard–Fejér inequalities for preinvex functions using the generalized conformable fractional integrals.

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Keywords

conformable fractional derivative, conformable fractional integral, Hermite-Hadamard inequality, Fractional derivatives and integrals, Inequalities for sums, series and integrals, Convexity of real functions in one variable, generalizations, preinvex function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
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