Approximation of Functions of a Complex Variable by Fourier Sums in Orthogonal Systems in L2

M. Sh. Shabozov; M. S. Saidusaynov

doi:10.3103/s1066369x20060080

Approximation of Functions of a Complex Variable by Fourier Sums in Orthogonal Systems in L2

Russian Mathematics ◽

10.3103/s1066369x20060080 ◽

2020 ◽

Vol 64 (6) ◽

pp. 56-62

Author(s):

M. Sh. Shabozov ◽

M. S. Saidusaynov

Keyword(s):

Complex Variable ◽

Approximation Of Functions ◽

Fourier Sums ◽

Orthogonal Systems

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Approximation of functions of a complex variable by Fourier sums in orthogonal systems in L2

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika ◽

10.26907/0021-3446-2020-6-65-72 ◽

2020 ◽

pp. 65-72

Author(s):

Mirgand Shabozovich Shabozov ◽

◽

Mukim Saidusaynovich Saidusaynov ◽

Keyword(s):

Complex Variable ◽

Approximation Of Functions ◽

Fourier Sums ◽

Orthogonal Systems

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Simultaneous approximation of functions and their (?, ?)-derivatives by Fourier sums

Ukrainian Mathematical Journal ◽

10.1007/bf01060386 ◽

1989 ◽

Vol 41 (2) ◽

pp. 189-199 ◽

Cited By ~ 2

Author(s):

A. I. Stepanets

Keyword(s):

Simultaneous Approximation ◽

Approximation Of Functions ◽

Fourier Sums

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Lebesgue constants and approximation of functions by rectangular fourier sums in LP(Tm)

Mathematical Notes ◽

10.1007/bf01160866 ◽

1983 ◽

Vol 34 (1) ◽

pp. 522-529

Author(s):

S. P. Baiborodov

Keyword(s):

Lebesgue Constants ◽

Approximation Of Functions ◽

Fourier Sums

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Approximation of functions by higher order Szegö kernels I. Complex variable cases

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2014.956740 ◽

2014 ◽

Vol 60 (6) ◽

pp. 733-747 ◽

Cited By ~ 1

Author(s):

Jinxun Wang ◽

Tao Qian

Keyword(s):

Complex Variable ◽

Higher Order ◽

Approximation Of Functions

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Chapter 2. APPROXIMATION OF FUNCTIONS OF ONE VARIABLE BY FOURIER SUMS

Uniform Approximations by Trigonometric Polynomials ◽

10.1515/9783110926033-005 ◽

2001 ◽

pp. 99-178

Keyword(s):

Approximation Of Functions ◽

Fourier Sums

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Estimate of the simultaneous approximation of functions and their derivatives by Fourier sums

Mathematical Notes ◽

10.1134/s0001434611090173 ◽

2011 ◽

Vol 90 (3-4) ◽

pp. 464-466

Author(s):

S. A. Telyakovskii

Keyword(s):

Simultaneous Approximation ◽

Approximation Of Functions ◽

Fourier Sums

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Approximation of functions of several variables in the classes $$SL\begin{array}{{20}c} r \\ \\ p \\ \end{array}$$ by Fourier sums

Siberian Mathematical Journal ◽

10.1007/bf00970508 ◽

1978 ◽

Vol 19 (2) ◽

pp. 252-259 ◽

Cited By ~ 1

Author(s):

N. S. Nikol'skaya

Keyword(s):

Approximation Of Functions ◽

Several Variables ◽

Fourier Sums

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Dzydyk's research on the theory of approximation of functions of a complex variable

Ukrainian Mathematical Journal ◽

10.1007/bf01060614 ◽

1989 ◽

Vol 41 (4) ◽

pp. 384-395

Author(s):

V. I. Belyi ◽

A. P. Golub ◽

I. A. Shevchuk

Keyword(s):

Complex Variable ◽

Approximation Of Functions

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Approximation of functions with given modulus of continuity by Fourier sums

Nine Papers on Analysis - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/022/06 ◽

1962 ◽

pp. 139-162

Author(s):

A. V. Efimov

Keyword(s):

Modulus Of Continuity ◽

Approximation Of Functions ◽

Fourier Sums

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ON UNIFORM APPROXIMATION OF FUNCTIONS BY FOURIER SUMS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1982v042n04abeh002398 ◽

1982 ◽

Vol 42 (4) ◽

pp. 515-538

Author(s):

E A Sevast'janov

Keyword(s):

Uniform Approximation ◽

Approximation Of Functions ◽

Fourier Sums

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Approximation of Functions of a Complex Variable by Fourier Sums in Orthogonal Systems in L2

Approximation of functions of a complex variable by Fourier sums in orthogonal systems in L2

Simultaneous approximation of functions and their (?, ?)-derivatives by Fourier sums

Lebesgue constants and approximation of functions by rectangular fourier sums in LP(Tm)

Approximation of functions by higher order Szegö kernels I. Complex variable cases

Chapter 2. APPROXIMATION OF FUNCTIONS OF ONE VARIABLE BY FOURIER SUMS

Estimate of the simultaneous approximation of functions and their derivatives by Fourier sums

Approximation of functions of several variables in the classes $$SL\begin{array}{*{20}c} r \\ * \\ p \\ \end{array}$$ by Fourier sums

Dzydyk's research on the theory of approximation of functions of a complex variable

Approximation of functions with given modulus of continuity by Fourier sums

ON UNIFORM APPROXIMATION OF FUNCTIONS BY FOURIER SUMS

Approximation of functions of several variables in the classes $$SL\begin{array}{{20}c} r \\ \\ p \\ \end{array}$$ by Fourier sums