Open AccessOn 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.