Approximation in the L metric of summable periodic functions by Fourier sums

V. T. Gavrilyuk

doi:10.1007/bf01092541

Approximation in the L metric of summable periodic functions by Fourier sums

Ukrainian Mathematical Journal ◽

10.1007/bf01092541 ◽

1980 ◽

Vol 31 (6) ◽

pp. 573-576

Author(s):

V. T. Gavrilyuk

Keyword(s):

Periodic Functions ◽

Fourier Sums

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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 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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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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Asymptotic estimates of approximation of continuous periodic functions by Fourier sums

Ukrainian Mathematical Journal ◽

10.1007/bf01058908 ◽

1990 ◽

Vol 42 (6) ◽

pp. 659-666

Author(s):

V. T. Gavrilyuk

Keyword(s):

Asymptotic Estimates ◽

Periodic Functions ◽

Fourier Sums

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Simultaneous approximation of periodic functions and their derivatives by fourier sums

Ukrainian Mathematical Journal ◽

10.1007/bf01085566 ◽

1982 ◽

Vol 33 (3) ◽

pp. 274-282 ◽

Cited By ~ 1

Author(s):

A. I. Stepanets

Keyword(s):

Simultaneous Approximation ◽

Periodic Functions ◽

Fourier Sums ◽

Approximation Of Periodic Functions

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Approximation of $$\bar \psi $$ -integrals of periodic functions by fourier sums (small smoothness). II

Ukrainian Mathematical Journal ◽

10.1007/bf02600595 ◽

1998 ◽

Vol 50 (3) ◽

pp. 442-454 ◽

Cited By ~ 1

Author(s):

A. I. Stepanets

Keyword(s):

Periodic Functions ◽

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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Approximation by triangular fourier sums on classes of continuous periodic functions of two variables

Ukrainian Mathematical Journal ◽

10.1007/bf01088940 ◽

1983 ◽

Vol 35 (2) ◽

pp. 215-220

Author(s):

A. I. Stepanets ◽

V. I. Rukasov

Keyword(s):

Periodic Functions ◽

Functions Of Two Variables ◽

Fourier Sums

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Approximation of the classes $$ {\boldsymbol{B}}_{{ {\boldsymbol{p}},{\boldsymbol{\theta}}}}^{\Omega } $$ of periodic functions of many variables by Fourier sums in the space L p with p = 1, ∞

Ukrainian Mathematical Journal ◽

10.1007/s11253-013-0722-9 ◽

2013 ◽

Vol 64 (9) ◽

pp. 1370-1381 ◽

Cited By ~ 1

Author(s):

V. V. Myronyuk

Keyword(s):

Periodic Functions ◽

Fourier Sums

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Approximating periodic functions in Hölder type metrics by Fourier sums and Riesz means

Journal of Mathematical Sciences ◽

10.1007/s10958-008-0121-1 ◽

2008 ◽

Vol 150 (3) ◽

pp. 2045-2055 ◽

Cited By ~ 2

Author(s):

V. V. Zhuk

Keyword(s):

Periodic Functions ◽

Riesz Means ◽

Fourier Sums

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