Sharp inequalities of Jackson type in weighted space $$$L_{2;\rho}({\mathbb{R}}^2)$$$

S.B. Vakarchuk; M.B. Vakarchuk

doi:10.15421/241403

Sharp inequalities of Jackson type in weighted space $$$L_{2;\rho}({\mathbb{R}}^2)$$$

S.B. Vakarchuk (Alfred Nobel Dnipropetrovsk University), https://orcid.org/0000-0002-2562-8844
M.B. Vakarchuk (Oles Honchar Dnipropetrovsk National University)

Abstract

Sharp inequalities of Jackson type, connected with the best approximation by "angles" of algebraic polynomials have been obtained on the classes of differentiable functions of two variables in the metric of space $$$L_{2;\rho}({\mathbb{R}}^2)$$$ of the Chebyshev-Hermite weight.

Keywords

generalized modulus of continuity; best approximation by "angle"; Chebyshev-Hermite polynomials

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References

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