Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 27, Tome 262 (1999), pp. 172-184
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K. G. Mezhevitch; N. A. Shirokov. A class of functions on a disjoint collection of segments. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 27, Tome 262 (1999), pp. 172-184. http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a7/
@article{ZNSL_1999_262_a7,
author = {K. G. Mezhevitch and N. A. Shirokov},
title = {A class of functions on a disjoint collection of segments},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {172--184},
year = {1999},
volume = {262},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a7/}
}
TY - JOUR
AU - K. G. Mezhevitch
AU - N. A. Shirokov
TI - A class of functions on a disjoint collection of segments
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 172
EP - 184
VL - 262
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a7/
LA - ru
ID - ZNSL_1999_262_a7
ER -
%0 Journal Article
%A K. G. Mezhevitch
%A N. A. Shirokov
%T A class of functions on a disjoint collection of segments
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 172-184
%V 262
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a7/
%G ru
%F ZNSL_1999_262_a7
Let $E=\bigcup\limits^m_{k=1}S_k$, where $S_k$ are disjoint segments, and let $\{\alpha_k\}$ be a collection of positive numbers, $0<\alpha_k<1$. We describe a class of functions $f$ on $E$ that admit approximation by polynomials of degree $\le n$ with the rate $\frac1{n^{\alpha_k}}$ on $S_k$.
