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On New Inequalities via Riemann‐Liouville Fractional Integration

On new inequalities via Riemann-Liouville fractional integration
Authors: Sarikaya, Mehmet Zeki; Ogunmez, Hasan;

On New Inequalities via Riemann‐Liouville Fractional Integration

Abstract

We extend the Montgomery identities for the Riemann‐Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.

Country
Turkey
Keywords

26D15, 41A55, 26D10, Fractional derivatives and integrals, Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Inequalities for sums, series and integrals, Montgomery identities, Riemann-Liouville fractional integrals, Mathematics

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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!
51
Top 1%
Top 1%
Top 10%
Green
gold