Schoenberg’s polynomial B-splines of odd degrees: A brief review of application
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 10, pp. 1756-1767
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A brief overview of applications of Schoenberg’s polynomial B-splines of odd degrees in mathematical statistics, computational mathematics, and statistical radio engineering is provided. Exact formulas for the found Schoenberg B-spline of 15th degree are presented. High-quality approximations of smooth functions with an infinite Fourier transform by functions with a finite Fourier transform are found.
@article{ZVMMF_2012_52_10_a1,
author = {V. G. Alekseev and V. A. Sukhodoev},
title = {Schoenberg{\textquoteright}s polynomial {B-splines} of odd degrees: {A} brief review of application},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1756--1767},
publisher = {mathdoc},
volume = {52},
number = {10},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_10_a1/}
}
TY - JOUR AU - V. G. Alekseev AU - V. A. Sukhodoev TI - Schoenberg’s polynomial B-splines of odd degrees: A brief review of application JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 1756 EP - 1767 VL - 52 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_10_a1/ LA - ru ID - ZVMMF_2012_52_10_a1 ER -
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V. G. Alekseev; V. A. Sukhodoev. Schoenberg’s polynomial B-splines of odd degrees: A brief review of application. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 10, pp. 1756-1767. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_10_a1/