q− Fractional Inequalities

DOI10.4067/S0719-06462011000100005zbMath1233.26004MaRDI QIDQ3172336

George A. Anastassiou

Publication date: 5 October 2011

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

\(q\)-fractional derivative\(q\)-fractional integral\(q\)-fractional Hilbert-Pachpatte inequality\(q\)-fractional Poincaré inequality\(q\)-fractional Sobolev inequality

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractional derivatives and integrals (26A33) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Inequalities for sums, series and integrals (26D15) (q)-gamma functions, (q)-beta functions and integrals (33D05) Denjoy and Perron integrals, other special integrals (26A39) Basic hypergeometric integrals and functions defined by them (33D60) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Twin iterative positive solutions of fractional \(q\)-difference Schrödinger equations ⋮ Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions ⋮ SUCCESSIVE ITERATIONS FOR UNIQUE POSITIVE SOLUTION OF A NONLINEAR FRACTIONAL Q-INTEGRAL BOUNDARY VALUE PROBLEM ⋮ \(q\)-integral inequalities associated with some fractional \(q\)-integral operators

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