Asymptotically exact estimates of the errors of partial fourier sums on classes of continuous periodic functions of several variables

A. I. Stepanets

doi:10.1007/bf01085790

Asymptotically exact estimates of the errors of partial fourier sums on classes of continuous periodic functions of several variables

Ukrainian Mathematical Journal ◽

10.1007/bf01085790 ◽

1981 ◽

Vol 33 (1) ◽

pp. 96-100

Author(s):

A. I. Stepanets

Keyword(s):

Periodic Functions ◽

Several Variables ◽

Fourier Sums

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Approximation by Fourier sums of classes of periodic functions of several variables defined by polyharmonic operators

Ukrainian Mathematical Journal ◽

10.1007/bf01092787 ◽

1980 ◽

Vol 32 (2) ◽

pp. 127-132

Author(s):

N. N. Zaderei

Keyword(s):

Periodic Functions ◽

Several Variables ◽

Fourier Sums

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ESTIMATES OF THE DEVIATIONS OF PARTIAL FOURIER SUMS ON CLASSES OF CONTINUOUS PERIODIC FUNCTIONS OF SEVERAL VARIABLES

Mathematics of the USSR-Izvestiya ◽

10.1070/im1981v017n02abeh001364 ◽

1981 ◽

Vol 17 (2) ◽

pp. 369-403 ◽

Cited By ~ 1

Author(s):

A I Stepanec

Keyword(s):

Periodic Functions ◽

Several Variables ◽

Fourier Sums

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Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations

Sbornik Mathematics ◽

10.1070/sm2004v195n02abeh000801 ◽

2004 ◽

Vol 195 (2) ◽

pp. 237-261 ◽

Cited By ~ 5

Author(s):

A S Romanyuk

Keyword(s):

Periodic Functions ◽

Best Approximations ◽

Several Variables

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KOLMOGOROV WIDTHS IN THE SPACE ${\tilde L}_q$ OF THE CLASSES ${\tilde W}_p^{\overline \alpha}$ AND ${\tilde H}_p^{\overline \alpha}$ OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES

Mathematics of the USSR-Izvestiya ◽

10.1070/im1986v027n02abeh001175 ◽

1986 ◽

Vol 27 (2) ◽

pp. 219-237 ◽

Cited By ~ 3

Author(s):

È M Galeev

Keyword(s):

Periodic Functions ◽

Several Variables ◽

Kolmogorov Widths

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Widths of the Anisotropic Besov Classes of Periodic Functions of Several Variables

Ukrainian Mathematical Journal ◽

10.1007/s11253-017-1290-1 ◽

2017 ◽

Vol 68 (8) ◽

pp. 1238-1251

Author(s):

V. V. Myronyuk

Keyword(s):

Periodic Functions ◽

Several Variables

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Approximation of $$\bar \psi - integrals$$ of periodic functions by Fourier sums (small smoothness). Iof periodic functions by Fourier sums (small smoothness). I

Ukrainian Mathematical Journal ◽

10.1007/bf02513454 ◽

1998 ◽

Vol 50 (2) ◽

pp. 314-333 ◽

Cited By ~ 8

Author(s):

A. I. Stepanets

Keyword(s):

Periodic Functions ◽

Fourier Sums

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APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY TRIGONOMETRIC POLYNOMIALS, AND WIDTHS OF SOME CLASSES OF FUNCTIONS

Mathematics of the USSR-Izvestiya ◽

10.1070/im1986v027n02abeh001179 ◽

1986 ◽

Vol 27 (2) ◽

pp. 285-322 ◽

Cited By ~ 4

Author(s):

V N Temlyakov

Keyword(s):

Trigonometric Polynomials ◽

Periodic Functions ◽

Several Variables ◽

Approximation Of Periodic Functions

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Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables

Ukrainian Mathematical Journal ◽

10.1007/s11253-015-1006-3 ◽

2015 ◽

Vol 66 (8) ◽

pp. 1248-1266 ◽

Cited By ~ 1

Author(s):

V. V. Myronyuk

Keyword(s):

Periodic Functions ◽

Several Variables ◽

Kolmogorov Widths

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On approximation of periodic functions by Fourier sums

Journal of Mathematical Sciences ◽

10.1007/s10958-010-9857-5 ◽

2010 ◽

Vol 166 (2) ◽

pp. 167-185

Author(s):

V. V. Zhuk

Keyword(s):

Periodic Functions ◽

Fourier Sums ◽

Approximation Of Periodic Functions

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Approximation of smooth periodic functions in several variables

Journal of Complexity ◽

10.1016/0885-064x(88)90015-5 ◽

1988 ◽

Vol 4 (4) ◽

pp. 356-372 ◽

Cited By ~ 1

Author(s):

Marek Kowalski ◽

Waldemar Sielski

Keyword(s):

Periodic Functions ◽

Several Variables

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