Chebyshev type inequalities involving extended generalized fractional integral operators

In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. So, results of Dahmani et al. from [4] are generalized. Also, it is point...

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Veröffentlicht in:AIMS Mathematics 2020-01, Vol.5 (4), p.3573-3583
Hauptverfasser: Set, Erhan, Emin Özdemir, M., Demirbaş, Sevdenur
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Sprache:eng
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Zusammenfassung:In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. So, results of Dahmani et al. from [4] are generalized. Also, it is point out that new results are obtained for different fractional integral operators with the help of special selection of parameters. Keywords: Chebyshev inequality; fractional integral operators Mathematics Subject Classification: 26A33, 26D10, 33B20
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020232