Mean-square approximation by ``angle in the space \(L_{2,\mu}(\mathbb{R}^2)\) with the Chebyshev-Hermite weight

DOI10.3103/S1066369X21090012zbMath1494.41004OpenAlexW3205679358MaRDI QIDQ2066442

M. O. Akobirshoev

Publication date: 14 January 2022

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21090012

zbMATH Keywords

weight functiontranslation operatorbest approximation by ``angleChebyshev-Hermite operatorgeneralized module of continuity

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Weighted approximation (41A81)

Cites Work

• Approximation of functions by Fourier-Hermite sums in the space \(L_2(\mathbb R;e^{-x^2})\)
• Exact estimates of quasiwidths of some classes of differentiable periodic functions of two variables
• Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\)
• Mean-square ``angle approximation in the \(L_2\) metric and the values of quasiwidths for some classes of functions
• Quasi-widths for some classes of differentiable periodic functions of two variables
• On exact values of quasiwidths of some classes of functions
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