Best weighted approximation of some kernels on the real axis
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.
Authors
- V. V. Savchuk (ORCID: https://orcid.org/0000-0002-6713-4471)
- S. O. Chaichenko (ORCID: https://orcid.org/0000-0002-2724-8749)
- Andrii Shidlich (ORCID: https://orcid.org/0000-0002-6421-9277)
Institutions
- Institute of Mathematics (UA)
- National University of Life and Environmental Sciences of Ukraine (UA)
- Donbas State Pedagogical University (UA)
Publication Details
- Journal
- Researches in Mathematics
- Published
- 2025-12-12
- DOI
- https://doi.org/10.15421/242513
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Science Foundation Ireland