Some new fractional \(q\)-integral Grüss-type inequalities and other inequalities

DOI10.1186/1029-242X-2012-299zbMath1279.26039OpenAlexW2148081406WikidataQ59290594 ScholiaQ59290594MaRDI QIDQ388054

Chaowu Zhu, Wengui Yang, Qingbo Zhao

Publication date: 18 December 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-299

zbMATH Keywords

integral inequalitiesGrüss-type inequalitiesfractional \(q\)-integral

Mathematics Subject Classification ID

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

Related Items (13)

Some Grüss-type inequalities using generalized Katugampola fractional integral ⋮ Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional ⋮ Estimation of divergence measures on time scales via Taylor's polynomial and Green's function with applications in \(q\)-calculus ⋮ Estimation of divergences on time scales via the Green function and Fink's identity ⋮ Integral inequalities associated with Gauss hypergeometric function fractional integral operators ⋮ Grüss-type integrals inequalities via generalized proportional fractional operators ⋮ Grüss-type fractional inequality via Caputo-Fabrizio integral operator ⋮ Some new Riemann-Liouville fractional integral inequalities ⋮ Grüss-type inequalities by means of generalized fractional integrals ⋮ New entropic bounds on time scales via Hermite interpolating polynomial ⋮ Some new inequalities of the Grüss type for conformable fractional integrals ⋮ A generalized \(q\)-Grüss inequality involving the Riemann-Liouville fractional \(q\)-integrals ⋮ \(q\)-integral inequalities associated with some fractional \(q\)-integral operators

Cites Work

• Some new fractional quantum integral inequalities
• Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions with applications
• Fractional integral inequalities and applications
• A generalization of the concept of \(q\)-fractional integrals
• Opial type inequalities involving fractional derivatives of two functions and applications
• The inequalities for some types of \(q\)-integrals
• Hilbert-Pachpatte type fractional integral inequalities
• Multivariate fractional Ostrowski type inequalities
• Fractional q-Calculus on a time scale
• Some Fractional q-Integrals and q-Derivatives

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