Certain Grüss type inequalities involving the generalized fractional integral operator

DOI10.1186/1029-242X-2014-147zbMath1308.26025OpenAlexW2167554125WikidataQ59323832 ScholiaQ59323832MaRDI QIDQ2258701

Mehar Chand, Guotao Wang, Praveen Agarwal

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-147

zbMATH Keywords

integral inequalitiesGrüss inequalityfractional integrals and hypergeometric fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (18)

Grüss type integral inequalities for generalized Riemann-Liouville \(k\)-fractional integrals ⋮ On high-order compact schemes for the multidimensional time-fractional Schrödinger equation ⋮ Some generalized Riemann-Liouville \(k\)-fractional integral inequalities ⋮ Some Grüss-type inequalities using generalized Katugampola fractional integral ⋮ Some new fractional inequalities involving convex functions and generalized fractional integral operator ⋮ Integral inequalities via Raina's fractional integrals operator with respect to a monotone function ⋮ Unnamed Item ⋮ New version of fractional Simpson type inequalities for twice differentiable functions ⋮ Integral inequalities associated with Gauss hypergeometric function fractional integral operators ⋮ Unnamed Item ⋮ Some \(k\)-fractional extension of Grüss-type inequalities via generalized Hilfer-Katugampola derivative ⋮ An extension by means of ω-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities ⋮ Extended type \(k\)-Mittag-Leffler function and its applications ⋮ A new type of the Gronwall-Bellman inequality and its application to fractional stochastic differential equations ⋮ The Minkowski's inequalities via \(\psi\)-Riemann-Liouville fractional integral operators ⋮ Study of fractional integral inequalities involving Mittag-Leffler functions via convexity ⋮ Lyapunov-type inequalities for a class of fractional differential equations ⋮ \(q\)-integral inequalities associated with some fractional \(q\)-integral operators

Cites Work

• On fractional integral inequalities involving hypergeometric operators
• Some integral inequalities of Grüss type
• Advances on Fractional Inequalities
• Analytic 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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