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Some New Fractional Trapezium-Type Inequalities for Preinvex Functions

1
Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora 9401, Albania
2
Department of Mathematics, Faculty of Sciences and Arts, Ordu University, 52200 Ordu, Turkey
*
Author to whom correspondence should be addressed.
Fractal Fract 2019, 3(1), 12; https://doi.org/10.3390/fractalfract3010012
Received: 28 February 2019 / Revised: 20 March 2019 / Accepted: 21 March 2019 / Published: 24 March 2019
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PDF [284 KB, uploaded 28 March 2019]

Abstract

In this paper, authors the present the discovery of an interesting identity regarding trapezium-type integral inequalities. By using the lemma as an auxiliary result, some new estimates with respect to trapezium-type integral inequalities via general fractional integrals are obtained. It is pointed out that some new special cases can be deduced from the main results. Some applications regarding special means for different real numbers are provided as well. The ideas and techniques described in this paper may stimulate further research. View Full-Text
Keywords: trapezium-type integral inequalities; preinvexity; general fractional integrals trapezium-type integral inequalities; preinvexity; general fractional integrals
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Kashuri, A.; Set, E.; Liko, R. Some New Fractional Trapezium-Type Inequalities for Preinvex Functions. Fractal Fract 2019, 3, 12.

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