Certain Results Comprising the Weighted Chebyshev Function Using Pathway Fractional Integrals

Aditya Mani Mishra, Dumitru Baleanu, Fairouz Tchier and Sunil Dutt Purohit
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Aditya Mani Mishra: Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, India
Dumitru Baleanu: Department of Mathematics, Cankaya University, Cankaya, Ankara 06430, Turkey
Fairouz Tchier: Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia
Sunil Dutt Purohit: Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, India

Mathematics, 2019, vol. 7, issue 10, 1-9

Abstract: An analogous version of Chebyshev inequality, associated with the weighted function, has been established using the pathway fractional integral operators. The result is a generalization of the Chebyshev inequality in fractional integral operators. We deduce the left sided Riemann Liouville version and the Laplace version of the same identity. Our main deduction will provide noted results for an appropriate change to the Pathway fractional integral parameter and the degree of the fractional operator.

Keywords: Riemann Liouville fractional integral operator; pathway fractional order integral operator; Chebyshev functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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