Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup
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Publication:6119214
DOI10.1007/s13324-023-00868-wWikidataQ128583324 ScholiaQ128583324MaRDI QIDQ6119214
Publication date: 29 February 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
modulus of smoothnessbest approximationsgeneralized translation operatorsFourier-Laguerre transformJackson's inverse theorems
Analysis on real and complex Lie groups (22E30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Cites Work
- Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
- Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets
- Lipschitz conditions in Laguerre hypergroup
- Modulus of smoothness and theorems concerning approximation in the space \(L^2_{q,\alpha}(\mathbb{R}_q)\) with power weight
- 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
- Some problems of approximation theory in the spaces \(L_p\) on the line with power weight
- A Wiener-Tauberian and a Pompeiu type theorems on the Laguerre hypergroup
- Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L2 metric: Jackson's type direct theorems
- Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis
- On the approximation of functions by Jacobi-Dunkl expansions in the weighted space \({\mathbb{L}}_2^{\left(\alpha ,\beta \right)} \)
- Some direct and inverse theorems of approximation of functions in Jacobi-Dunkl discrete harmonic analysis
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