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

С. Б. Вакарчук | Zendy; M.B. Vakarchuk | Zendy

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

Author(s) -

С. Б. Вакарчук,

M.B. Vakarchuk

Publication year - 2021

Publication title -

researches in mathematics

Language(s) - English

Resource type - Journals

eISSN - 2664-5009

pISSN - 2664-4991

DOI - 10.15421/241105

Subject(s) - chebyshev polynomials , mathematics , hermite polynomials , classical orthogonal polynomials , chebyshev equation , equioscillation theorem , domain (mathematical analysis) , gegenbauer polynomials , algebraic number , discrete orthogonal polynomials , approximation theory , orthogonal polynomials , chebyshev nodes , pure mathematics , mathematical analysis

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.

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