Dunkl's theory and best approximation by entire functions of exponential type in \(L_{2}\)-metric with power weight
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Publication:477852
DOI10.1007/S10114-014-2415-1zbMath1304.41020OpenAlexW2079570611MaRDI QIDQ477852
Publication date: 10 December 2014
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-014-2415-1
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Cites Work
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- The Jackson inequality and widths of function classes in \(L^2([0,1,x^{2v+1})\)]
- Dunkl's theory and Jackson's theorem in the space \(L_2(\mathbb R^d)\) with power weight
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- The Dunkl transform
- Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres
- Two related extremal problems for entire functions of several variables
- Jackson inequalities on sphere in \(L_ 2\)
- Positivity of Dunkl's intertwining operator
- The sharp Jackson inequality in the space \(L_{2}\) on the segment \([-1, 1\) with the power weight]
- Convolution operator and maximal function for the Dunkl transform
- Higher monotonicity properties of normalized Bessel functions
- Integral Kernels with Reflection Group Invariance
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- Paley–Wiener theorems for the Dunkl transform
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