On the equivalence of \(K\)-functionals and modulus of smoothness constructed by the generalized Fourier-Bessel transform

DOI10.1007/s13370-021-00951-0zbMath1499.42048OpenAlexW4205209669MaRDI QIDQ2115632

N. Djellab, Ch. Khalil, Mohamed El Hamma, Radouan Daher

Publication date: 17 March 2022

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-021-00951-0

zbMATH Keywords

\(K\)-functionalgeneralized translation operatorgeneralized Fourier-Bessel transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations
• Approximation of functions by the Fourier-Bessel sums
• Estimate of \(K\)-functionals and modulus of smoothness constructed by generalized spherical mean operator
• Growth properties of the Fourier transform

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