An extension by means of ω-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities

DOI10.7153/jmi-2020-14-03zbMath1437.26023OpenAlexW3012440428MaRDI QIDQ5109745

Praveen Agarwal, Joel Esteban Restrepo

Publication date: 13 May 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-03

zbMATH Keywords

integral inequalitiesChebyshev functionalRiemann-Liouville \(k\)-fractional integral operator\(\omega\)-weighted classesPólya and Szegö-type inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

CERTAIN NEW WEIGHTED YOUNG- AND PÓLYA–SZEGÖ-TYPE INEQUALITIES FOR UNIFIED FRACTIONAL INTEGRAL OPERATORS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION WITH APPLICATIONS ⋮ Some generalized fractional integral inequalities with nonsingular function as a kernel ⋮ Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative ⋮ Certain fractional formulas of the extended \(k\)-hypergeometric functions ⋮ Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order \(\beta \in (1,2)\) ⋮ Existence study of semilinear fractional differential equations and inclusions for multi–term problem under Riemann–Liouville operators ⋮ On multiplicative Hermite-Hadamard- and Newton-type inequalities for multiplicatively \((P, m)\)-convex functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Local fractional Newton's inequalities involving generalized harmonic convex functions ⋮ The Minkowski's inequalities utilizing newly defined generalized fractional integral operators

Cites Work

• Some generalized Riemann-Liouville \(k\)-fractional integral inequalities
• On generalized Grüss type inequalities for \(k\)-fractional integrals
• Fractional integral inequalities via Hadamard's fractional integral
• Certain Grüss type inequalities involving the generalized fractional integral operator
• On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators
• Advances on Fractional Inequalities
• Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]
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