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New generalizations for convex functions via conformable fractional integrals

Authors: Ekinci, Alper; Eroglu, Nazlican; Belirlenecek; [Ekinci, Alper] Bandirma Onyedi Eylul Univ, Bandirma Vocat High Sch, Balikesir, Turkey; [Eroglu, Nazlican] Ibrahim Cecen Univ Agri, Agri, Turkey; Ekinci, Alper/HKF-3376-2023; Ekinci, Alper/HKF-3391-2023;

New generalizations for convex functions via conformable fractional integrals

Abstract

The main objective of this study is to obtain conformable analogs of some inequalities and to examine some integral inequalities for functions whose modulus of first derivatives are convex and concave. We obtain generalizations including conformable fractional integrals by separating [a; b] interval to s equal subintervals.

Country
Turkey
Keywords

Holder inequality, convex functions, Fractional derivatives and integrals, Hölder inequality, conformable fractional integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Power mean inequality, Convexity of real functions in one variable, generalizations

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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!
3
Top 10%
Average
Average
Green
gold