Chebyshev-Type Inequalities Involving (k,ψ)-Proportional Fractional Integral Operators

Expanding the analytical aspect of mathematics enables researchers to study more cosmic phenomena, especially with regard to the applied sciences related to fractional calculus. In the present paper, we establish some Chebyshev-type inequalities in the case synchronous functions. In order to achieve...

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Bibliographic Details
Published in:Journal of function spaces 2022, Vol.2022, p.1-6
Main Authors: Yewale, Bhagwat R., Pachpatte, Deepak B., Aljaaidi, Tariq A.
Format: Article
Language:English
Subjects:
Chebyshev approximation
Control theory
Fractional calculus
Inequalities
Inequality
Mathematical analysis
Mathematical functions
Operators (mathematics)
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Summary:Expanding the analytical aspect of mathematics enables researchers to study more cosmic phenomena, especially with regard to the applied sciences related to fractional calculus. In the present paper, we establish some Chebyshev-type inequalities in the case synchronous functions. In order to achieve our goals, we use k,ψ-proportional fractional integral operators. Moreover, we present some special cases.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/3966177