Some new fractional quantum integral inequalities

DOI10.1016/J.AML.2011.11.005zbMath1242.26018OpenAlexW1984212637MaRDI QIDQ419120

Wengui Yang

Publication date: 18 May 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.11.005

zbMATH Keywords

Hölder's inequalityMinkowski's inequalityCauchy's inequalityChebyshev type inequalitiesfractional \(q\)-integral inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (5)

CERTAIN NEW WEIGHTED YOUNG- AND PÓLYA–SZEGÖ-TYPE INEQUALITIES FOR UNIFIED FRACTIONAL INTEGRAL OPERATORS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION WITH APPLICATIONS ⋮ Generalized proportional fractional integral functional bounds in Minkowski's inequalities ⋮ Some new fractional \(q\)-integral Grüss-type inequalities and other inequalities ⋮ Grüss-type fractional inequality via Caputo-Fabrizio integral operator ⋮ Fractional quantum integral operator with general kernels and applications

Cites Work

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• Opial type inequalities involving fractional derivatives of two functions and applications
• Hilbert-Pachpatte type fractional integral inequalities
• Multivariate fractional Ostrowski type inequalities
• Inequalities on Time Scales: A Survey
• Fractional q-Calculus on a time scale
• Some Fractional q-Integrals and q-Derivatives

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