Chebyshev type inequalities involving extended generalized fractional integral operators

Erhan Set; M. Emin Özdemir; Sevdenur Demirbaş; Erhan Set; M. Emin Özdemir; Sevdenur Demirbaş

doi:10.3934/math.2020232

AIMS Mathematics

2020, Volume 5, Issue 4: 3573-3583. doi: 10.3934/math.2020232

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Research article

Chebyshev type inequalities involving extended generalized fractional integral operators

1.
Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey
2.
Department of Mathematics Education, Education Faculty, Bursa Uludağ University, Görükle Campus, Bursa, Turkey

Received: 26 November 2019 Accepted: 27 March 2020 Published: 13 April 2020
MSC : 26A33, 26D10, 33B20

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.
- Chebyshev inequality,
- fractional integral operators
Citation: Erhan Set, M. Emin Özdemir, Sevdenur Demirbaş. Chebyshev type inequalities involving extended generalized fractional integral operators[J]. AIMS Mathematics, 2020, 5(4): 3573-3583. doi: 10.3934/math.2020232

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Abstract

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.

References

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