Work

Best weighted approximation of some kernels on the real axis

Year: 2025

Type: article

Abstract: We calculate the exact value and find the polynomial of the best weighted polynomial approximation of kernels of the form $\frac {A+Bt}{(t^2+\lambda^2)^{s+1}}$, where $A$ and $B$ are fixed complex numbers, $\lambda>0$, $s\in {\mathbb N}$, in the mean square metric.

Source: Researches in Mathematics

DOI: 10.15421/242513

Authors: S.O. Chaichenko, V.V. Savchuk, A.L. Shydlich

Institutions: Donbas State Pedagogical University, Institute of Mathematics, National University of Life and Environmental Sciences of Ukraine

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $20

Funder: Science Foundation Ireland