Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform
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Publication:5197983
DOI10.1080/10652469.2019.1635127zbMath1457.33003OpenAlexW2955656335MaRDI QIDQ5197983
Mohamed El Hamma, Radouan Daher
Publication date: 2 October 2019
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2019.1635127
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General harmonic expansions, frames (42C15)
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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 ⋮ A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces ⋮ Discrete Fourier-Jacobi transform and generalized Lipschitz classes ⋮ \(K\)-functional related to the deformed Hankel transform ⋮ Modulus of smoothness and approximation theorems in Clifford analysis ⋮ Equivalence of $K$-functionals and modulus of smoothness for Laguerre type operator ⋮ Equivalence of \(K\)-functionals and modulus of smoothness generated by a generalized Jacobi-Dunkl transform on the real line ⋮ Modulus of smoothness and \(K\)-functionals constructed by generalized Laguerre-Bessel operator
Cites Work
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- Growth properties of Fourier transforms via moduli of continuity
- Estimate of \(K\)-functionals and modulus of smoothness constructed by generalized spherical mean operator
- The convolution structure for Jacobi function expansions
- Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces
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