3 papers
math.NA2024
On Optimal Recovery and Information Complexity in Numerical Differentiation and Summation
Y. V. Semenova, S. G. Solodky
In this paper, we study optimization problems of numerical differentiation and summation methods on classes of univariate functions. Sharp estimates (in order) of the optimal recov…
math.NA2023
About optimization of methods for mixed derivatives of bivariate functions
Y. V. Semenova, S. G. Solodky
The problem of optimal recovering high-order mixed derivatives of bivariate functions with finite smoothness is studied. On the basis of the truncation method, an algorithm for num…
math.NA2023
On optimal recovering high order partial derivatives of bivariate functions
Y. V. Semenova, S. G. Solodky
The problem of recovering partial derivatives of high orders of bivariate functions with finite smoothness is studied. Based on the truncation method, a numerical differentiation a…