On approximation of functions by algebraic polynomials on the average in real domain with Chebyshev-Hermite weight

S.B. Vakarchuk; M.B. Vakarchuk

doi:10.15421/241105

On approximation of functions by algebraic polynomials on the average in real domain with Chebyshev-Hermite weight

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

Abstract

Exact inequalities of Jackson's type, connected with the best approximation of functions by algebraic polynomials, have been obtained in the space $$$L_{2,\rho}(\mathbb{R})$$$ at the Chebyshev-Hermite weight.

Keywords

best approximation; modulus of continuity; algebraic polynomial

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References

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