Fractional quantum integral inequalities

DOI10.1155/2011/787939zbMath1222.26013OpenAlexW2010697727WikidataQ59266926 ScholiaQ59266926MaRDI QIDQ535544

Hasan Öğünmez, Umut Mutlu Özkan

Publication date: 13 May 2011

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

Full work available at URL: https://doi.org/10.1155/2011/787939

zbMATH Keywords

fractional integral inequalitiesq-calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of basic hypergeometric functions (33D90)

Related Items (15)

Some generalized Riemann-Liouville \(k\)-fractional integral inequalities ⋮ Integral inequalities involving generalized Erdélyi-Kober fractional integral operators ⋮ Integral inequalities associated with Gauss hypergeometric function fractional integral operators ⋮ Some new fractional quantum integral inequalities ⋮ Fractional quantum integral operator with general kernels and applications ⋮ On fractional integral inequalities involving hypergeometric operators ⋮ Certain Chebyshev type integral inequalities involving Hadamard's fractional operators ⋮ Certain inequalities involving the fractional \(q\)-integral operators ⋮ Some new Saigo type fractional integral inequalities and their \(q\)-analogues ⋮ Chebyshev type integral inequalities involving the fractional hypergeometric operators ⋮ Quantum integral inequalities on finite intervals ⋮ Pólya-Szegö and Chebyshev types inequalities via an extended generalized Mittag-Leffler function ⋮ On new generalized quantum integrals and related Hermite-Hadamard inequalities ⋮ A generalized \(q\)-Grüss inequality involving the Riemann-Liouville fractional \(q\)-integrals ⋮ \(q\)-integral inequalities associated with some fractional \(q\)-integral operators

Cites Work

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• 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
• Multivariate fractional Ostrowski type inequalities
• Fractional q-Calculus on a time scale
• Some Fractional q-Integrals and q-Derivatives

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