Author:
View More View Less
• 1 ИМ. Я. КУПАЛЫ ГРОДНЕНСКИЙ ГОС УДАРСТВЕННЫЙ УНИВЕР СИТЕТ УЛ. ОЖЕ ШКО 22 230 023 ГРОДНО СССР
Restricted access
The paper deals with the order of best rational approximation of some classes of functions, depending on their differentiability properties. Improvements and generalizations of some results by P. P. Petrushev, V. A. Popov and the author are obtained. The proofs are based on the author's direct rational approximation theorems received recently. One of the results reads as follows. LetRn(f,Lp) denote the value of the best approximation of a functionf inLp,f∈Lp [0,1], by rational fractions of degree not exceedingn, n≧1. Suppose that 0<p≦∞,s∈NU{0}, andp≠∞ fors=0. Iff is thes-th primitive of some function of bounded variation on [0,1], then
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\sum\limits_{n = 1}^\infty {\frac{1}{n}(n^{s + 1} R_n (f,L_p ))^2< \infty }$$ \end{document}
.

• Impact Factor (2019): 0.527
• Scimago Journal Rank (2019): 0.384
• SJR Hirsch-Index (2019): 15
• SJR Quartile Score (2019): Q3 Analysis
• SJR Quartile Score (2019): Q3 Mathematics (miscellaneous)
• Impact Factor (2018): 0.702
• Scimago Journal Rank (2018): 0.47
• SJR Hirsch-Index (2018): 14
• SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

For subscription options, please visit the website of Springer.

Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder's
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Springer Nature Switzerland AG
Publisher's
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)

Jun 2021 0 0 0
Jul 2021 0 0 0
Aug 2021 0 0 0
Sep 2021 1 0 0
Oct 2021 0 0 0
Nov 2021 0 0 0
Dec 2021 0 0 0

## Fractional integration and differentiation of variable order

Author: S. G. Samko

## О расходимости кратных рядов Хаара

Author: G. Oniani