CONVERSE THEOREM OF THE APPROXIMATION THEORY OF FUNCTIONS IN MORREY-SMIRNOV CLASSES RELATED TO THE DERIVATIVES OF FUNCTIONS

被引：0

作者：

Jafarov, Sadulla Z. ^{[1
,2
]}

机构：

[1] Mus Alparslan Univ, Fac Educ, Dept Math & Sci Educ, TR-49250 Mus, Turkey

[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, 9 B Vahabzadeh Str, AZ-1141 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2021年 / 47卷 / 02期

关键词：

Morrey space; modulus of continuity; best approximation; converse theorem; TRIGONOMETRIC POLYNOMIALS; SINGULAR-OPERATORS; BOUNDEDNESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G subset of C be a finite Jordan domain with a Dini-smooth boundary. In this study an inverse theorem for polynomial approximation in the Morrey-Smirnov spaces E-p,E-lambda(G), 0 < lambda <= 1 and 1 < p < infinity, is proved.

引用

页码：205 / 214

页数：10

共 50 条

[1] Approximation by rational functions in Morrey-Smirnov classes
Ali, Mohamad
Mahmoud, Suleiman
Kinj, Ahmed
KUWAIT JOURNAL OF SCIENCE, 2018, 45 (02) : 1 - 7
[2] Estimates of the Approximations by Zygmund Sums in Morrey-Smirnov Classes of Analytic Functions
Jafarov, S. Z.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2020, 10 (02): : 110 - 124
[3] DERIVATIVES OF TRIGONOMETRIC POLYNOMIALS AND CONVERSE THEOREM OF THE CONSTRUCTIVE THEORY OF FUNCTIONS IN MORREY SPACES
Jafarov, Sadulla Z.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2019, 45 (01): : 137 - 145
[4] THE INVERSE THEOREM OF APPROXIMATION THEORY IN SMIRNOV-ORLICZ CLASSES
Jafarov, Sadulla Z.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (04): : 835 - 844
[5] An converse theorem for density functions
Rantzer, A
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 1890 - 1891
[6] Approximation by trigonometric polynomials and Faber-Laurent rational functions in grand Morrey spaces
Jafarov, Sadulla Z.
FILOMAT, 2023, 37 (16) : 5225 - 5242
[7] Approximation by Faber-Laurent Rational Functions in Variable Exponent Morrey Spaces
Jafarov, Sadulla Z.
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2022, 22 (04) : 629 - 643
[8] On the Best Approximation of Certain Classes of Periodic Functions by Trigonometric Polynomials
Serdyuk, A.
Ovsii, I.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2011, 1 (01): : 129 - 144
[9] The Direct Theorem of the Theory of Approximation of Periodic Functions with Monotone Fourier Coefficients in Different Metrics
Il'yasov, N. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018, 303 : 100 - 114
[10] The Direct Theorem of the Theory of Approximation of Periodic Functions with Monotone Fourier Coefficients in Different Metrics
N. A. Il’yasov
Proceedings of the Steklov Institute of Mathematics, 2018, 303 : 100 - 114

← 1 2 3 4 5 →