On the best simultaneous “angle” approximation in the mean of periodic functions of two variables from some classes
Year: 2024
Type: article
Abstract: In the L2 metric, we obtain sharp inequalities between the best joint approximations of 2π-periodic functions f(x, y) differentiable in each of the variables and their successive derivatives f (μ,ν) (x, y) (μ = 0, 1, . . . , r; ν = 0, 1, . . . , s) by trigonometric “angles” with double integrals containing mixed moduli of continuity of higher orders of higher derivatives. The sharp values of the upper bound of the best joint approximation of some classes of functions given by the specified moduli of continuity are found.
Source: Russian Mathematics
Author: M. O. Akobirshoev
Institution: Technological University of Tajikistan
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4401789488