Variations around Jackson's quantum operator

DOI10.4310/MAA.2015.V22.N4.A1zbMath1339.33023OpenAlexW2684624180MaRDI QIDQ259615

J. Petronilho, José Luis Cardoso

Publication date: 17 March 2016

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

Full work available at URL: https://doi.org/10.4310/maa.2015.v22.n4.a1

zbMATH Keywords

\(q\)-analogues\((q,\omega)\)-Lebesgue spacesJackson -Norlund \((q,\omega)\)-integralJackson \(q\)-integral

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Convergence and divergence of integrals (40A10)

Related Items (10)

Variations around a general quantum operator ⋮ Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid ⋮ On classical orthogonal polynomials related to Hahn's operator ⋮ A completeness theorem for a Hahn-Fourier system and an associated classical sampling theorem ⋮ Aβ-Sturm–Liouville problem associated with the general quantum operator ⋮ On basic Fourier-Bessel expansions ⋮ A few properties of the third Jackson \(q\)-Bessel function ⋮ Generalized discrete \(q\)-Hermite I polynomials and \(q\)-deformed oscillator

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