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MDPI
Mathematics
,  volume 7 ,  issue 7 ,  pages 651

Functions of Minimal Norm with the Given Set of Fourier Coefficients

Publication type: Journal Article
Publication date: 2019-07-20
MDPI
scimago Q2
wos Q1
SJR: 0.498
CiteScore: 4.6
Impact factor: 2.2
ISSN: 22277390
General Mathematics
Computer Science (miscellaneous)
Engineering (miscellaneous)
Abstract

We prove the existence and uniqueness of the solution of the problem of the minimum norm function ∥ · ∥ ∞ with a given set of initial coefficients of the trigonometric Fourier series c j , j = 0 , 1 , … , 2 n . Then, we prove the existence and uniqueness of the solution of the nonnegative function problem with a given set of coefficients of the trigonometric Fourier series c j , j = 1 , … , 2 n for the norm ∥ · ∥ 1 .

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Ivanshin P. Functions of Minimal Norm with the Given Set of Fourier Coefficients // Mathematics. 2019. Vol. 7. No. 7. p. 651.
GOST all authors (up to 50) Copy
Ivanshin P. Functions of Minimal Norm with the Given Set of Fourier Coefficients // Mathematics. 2019. Vol. 7. No. 7. p. 651.
RIS |
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RIS Copy
TY - JOUR
DO - 10.3390/math7070651
UR - https://doi.org/10.3390/math7070651
TI - Functions of Minimal Norm with the Given Set of Fourier Coefficients
T2 - Mathematics
AU - Ivanshin, Pyotr
PY - 2019
DA - 2019/07/20
PB - MDPI
SP - 651
IS - 7
VL - 7
SN - 2227-7390
ER -
BibTex |
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BibTex (up to 50 authors) Copy
@article{2019_Ivanshin,
author = {Pyotr Ivanshin},
title = {Functions of Minimal Norm with the Given Set of Fourier Coefficients},
journal = {Mathematics},
year = {2019},
volume = {7},
publisher = {MDPI},
month = {jul},
url = {https://doi.org/10.3390/math7070651},
number = {7},
pages = {651},
doi = {10.3390/math7070651}
}
MLA
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MLA Copy
Ivanshin, Pyotr. “Functions of Minimal Norm with the Given Set of Fourier Coefficients.” Mathematics, vol. 7, no. 7, Jul. 2019, p. 651. https://doi.org/10.3390/math7070651.
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