On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals

In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ . We determine certain new double-weighted type fractional integral inequalities by utilizing the said integrals. We also give som...

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Bibliographic Details
Published in:Advances in difference equations Vol. 2020; no. 1; pp. 1 - 19
Main Authors: Rahman, Gauhar, Nisar, Kottakkaran Sooppy, Ghanbari, Behzad, Abdeljawad, Thabet
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 18.07.2020
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications
Chebyshev approximation
Difference and Functional Equations
Fractional integral inequalities
Fractional integrals
Functional Analysis
Inequalities
Integrals
Mathematics
Mathematics and Statistics
Methods
Ordinary Differential Equations
Partial Differential Equations
The Chebyshev functional
The generalized fractional integrals
Topics in Special Functions and q-Special Functions: Theory
Fractional integral inequalities
Fractional integrals
The Chebyshev functional
The generalized fractional integrals
ISSN:1687-1847, 1687-1839, 1687-1847
Online Access:Get full text
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Summary:In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ . We determine certain new double-weighted type fractional integral inequalities by utilizing the said integrals. We also give some of the new particular inequalities of the main result. Note that we can form various types of new inequalities of fractional integrals by employing conditions on the function Ψ given in the paper. We present some corollaries as particular cases of the main results.
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02830-7