Open AccessSharp inequalities of Jackson type in weighted space $L_{2;\rho}({\mathbb{R}}^2)$
Author(s) -
С. Б. Вакарчук,
M.B. Vakarchuk
Publication year - 2014
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241403
Subject(s) - mathematics , differentiable function , type (biology) , space (punctuation) , hermite polynomials , chebyshev polynomials , algebraic number , combinatorics , metric (unit) , pure mathematics , discrete mathematics , mathematical analysis , computer science , ecology , operations management , economics , biology , operating system
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.