Moduli of smoothness and \(K\)-functional in \(L_2(\mathbb{R}_q^+)\)-space with power weight

DOI10.1007/S10476-019-0830-3zbMath1438.42051OpenAlexW2942989318MaRDI QIDQ2322515

Mohamed El Hamma, Radouan Daher, Salah El Ouadih

Publication date: 4 September 2019

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-019-0830-3

zbMATH Keywords

\(q\)-Bessel Fourier transform\(q\)-Bessel operator\(K\)-functionals modulus of smoothness\(q\)-translation operator

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral transforms of special functions (44A20)

Related Items (7)

Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ Equivalence of \(K\)-functionals and modulus of smoothness constructed by Cherednik-Opdam transform ⋮ Equivalence of \(K\)-functionals and modulus of smoothness constructed by first Hankel-Clifford transform ⋮ Absolutely convergent \(q\)-Dunkl integrals and classical function spaces ⋮ An analog of Titchmarsh's theorem for the q-Dunkl transform in the space \(L_{q,\alpha }^2({\mathbb{R}}_q)\) ⋮ Equivalence of $K$-functionals and modulus of smoothness for Laguerre type operator ⋮ Modulus of smoothness and \(K\)-functionals constructed by generalized Laguerre-Bessel operator

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