Widths of the classes of functions in the weight space \(L_{2 , \gamma } (\mathbb{R})\), \(\gamma = \mathrm{exp} ( - X^2)\)
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Publication:2107793
DOI10.1007/S11253-022-02095-1OpenAlexW4309796922MaRDI QIDQ2107793
Publication date: 5 December 2022
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-022-02095-1
Cites Work
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- Best approximations of differentiable functions in the metric of the space \(L_2\)
- Jackson-type inequalities and widths of function classes in \(L_{2}\)
- Approximation of functions by Fourier-Hermite sums in the space \(L_2(\mathbb R;e^{-x^2})\)
- Weighted polynomial approximation
- Inequalities containing best approximations and the modulus of continuity of functions in \(L_2\)
- Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). I
- Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi, \beta)\)-differentiable functions in \(L_2\). II
- Some inequalities between best approximations and moduli of continuity in an \(L_ 2 \)space
- On the best approximation in the mean by algebraic polynomials with weight and the exact values of widths for the classes of functions
- Mean approximation of functions on the real axis by algebraic polynomials with Chebyshev-Hermite weight and widths of function classes
- Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths
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