Modulus of smoothness and theorems concerning approximation in the space \(L^2_{q,\alpha}(\mathbb{R}_q)\) with power weight
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Publication:2023325
DOI10.1007/s00009-021-01715-7zbMath1467.41009OpenAlexW3134323977MaRDI QIDQ2023325
Publication date: 3 May 2021
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-021-01715-7
modulus of smoothnessK-functional\(q\)-Dunkl operator\(q\)-Dunkl transformgeneralized \(q\)-Dunkl translationJackson's theorems
Integral transforms of special functions (44A20) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Approximation by positive operators (41A36)
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Discrete Jacobi-Dunkl transform and approximation theorems ⋮ Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis ⋮ Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup ⋮ Modulus of smoothness and approximation theorems in Clifford analysis ⋮ Some direct and inverse theorems of approximation of functions in Jacobi-Dunkl discrete harmonic analysis ⋮ Jackson's inequalities in Mellin's analysis ⋮ Unnamed Item ⋮ On the Jackson-type inequalities in approximation theory connected to the \(q\)-Dunkl operators in the weighted space \(L^2_{q, \alpha }(\mathbb{R}_q, |x|^{2 \alpha +1}d_q x )\) ⋮ Jackson's inequalities in Laguerre hypergroup ⋮ On the generalized Hilbert transform and weighted Hardy spaces in \(q\)-Dunkl harmonic analysis
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