Some new Chebyshev type inequalities utilizing generalized fractional integral operators

Fuat Usta; Hüseyin Budak; Mehmet Zeki Sarıkaya; Fuat Usta; Hüseyin Budak; Mehmet Zeki Sarıkaya

doi:10.3934/math.2020079

AIMS Mathematics

2020, Volume 5, Issue 2: 1147-1161. doi: 10.3934/math.2020079

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Research article

Some new Chebyshev type inequalities utilizing generalized fractional integral operators

Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce-Turkey

Received: 03 October 2019 Accepted: 28 November 2019 Published: 14 January 2020
MSC : 26D15, 26A33, 26D10

Chebyshev type inequalities for the generalized fractional integral operators are studied based on two synchronous functions in a rather general form. The main results of this paper generalize some previous results obtained by the authors. We also present the special cases of related inequalities for this type of fractional integral is obtained.
- Chebyshev inequality,
- fractional integral operators
Citation: Fuat Usta, Hüseyin Budak, Mehmet Zeki Sarıkaya. Some new Chebyshev type inequalities utilizing generalized fractional integral operators[J]. AIMS Mathematics, 2020, 5(2): 1147-1161. doi: 10.3934/math.2020079

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Abstract

Chebyshev type inequalities for the generalized fractional integral operators are studied based on two synchronous functions in a rather general form. The main results of this paper generalize some previous results obtained by the authors. We also present the special cases of related inequalities for this type of fractional integral is obtained.

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