Best approximations for the weighted combination of the Cauchy-Szegö kernel and its derivative in the mean
In this paper, we study an extremal problem involving best approximation in the Hardy space $H^1$ on the unit disk $\mathbb D$. Specifically, we consider weighted combinations of the Cauchy-Szegö kernel and its derivative, parameterized by an inner funtion $\varphi$ and a complex number $\lambda$,...
Saved in:
Main Authors: | V.V. Savchuk, M.V. Savchuk |
---|---|
Format: | Article |
Language: | English |
Published: |
Oles Honchar Dnipro National University
2024-12-01
|
Series: | Researches in Mathematics |
Subjects: | |
Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/439/439 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane
by: Davron Juraev, et al.
Published: (2024-09-01) -
Novel kernel function for computing the similarity of text
by: Xiu-hong WANG, et al.
Published: (2012-12-01) -
Variants of the functional equation of Cauchy
by: Juozas Mačys
Published: (2004-12-01) -
The uniqueness of the best $L_1$-approximant of continuous Banach-valued functions under interpolatory constraints
by: M.Ye. Tkachenko, et al.
Published: (2024-12-01) -
A pointwise growth estimate for analytic functions in tubes
by: Richard D. Carmichael, et al.
Published: (1980-01-01)