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Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus

Some weighted integral inequalities for generalized conformable fractional calculus
Authors: Budak, Hüseyin; Usta, Fuat; Sarıkaya, Mehmet Zeki;

Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus

Abstract

Summary: In this paper, we have obtained weighted versions of Ostrowski, Chebyshev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.

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Turkey
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Keywords

conformable fractional integral, Chebyshev inequality, Fractional derivatives and integrals, Gruss inequality, Grüss inequality, Inequalities for sums, series and integrals, Cebysev inequality, Ostrowski inequality, Conformable fractional integrals

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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!
0
Average
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