The approximation in the Lp metric of differentiable functions of several variables by Fourier sums

N. S. Nikol'skaya

doi:10.1007/bf00968291

The approximation in the Lp metric of differentiable functions of several variables by Fourier sums

Siberian Mathematical Journal ◽

10.1007/bf00968291 ◽

1974 ◽

Vol 15 (2) ◽

pp. 282-295 ◽

Cited By ~ 11

Author(s):

N. S. Nikol'skaya

Keyword(s):

Differentiable Functions ◽

Several Variables ◽

Fourier Sums ◽

Lp Metric

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Approximations of differentiable functions of several variables

Mathematical Notes ◽

10.1007/bf01157431 ◽

1990 ◽

Vol 48 (3) ◽

pp. 898-903

Author(s):

S. B. Vakarchuk

Keyword(s):

Differentiable Functions ◽

Several Variables

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On some properties of differentiable functions of several variables

Four Papers on Functions of Real Variables - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/081/02 ◽

1969 ◽

pp. 67-90

Author(s):

V. P. Il′in ◽

V. A. Solonnikov

Keyword(s):

Differentiable Functions ◽

Several Variables

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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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Extending n times differentiable functions of several variables

Czechoslovak Mathematical Journal ◽

10.1023/a:1022409302825 ◽

1999 ◽

Vol 49 (4) ◽

pp. 825-830 ◽

Cited By ~ 2

Author(s):

Hajrudin Fejzić ◽

Dan Rinne ◽

Clifford Weil

Keyword(s):

Differentiable Functions ◽

Several Variables

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Embedding theorems for Banach spaces of infinitely differentiable functions of several variables

Mathematical Notes ◽

10.1007/bf01170880 ◽

1990 ◽

Vol 47 (6) ◽

pp. 525-533 ◽

Cited By ~ 1

Author(s):

G. S. Balashova

Keyword(s):

Banach Spaces ◽

Embedding Theorems ◽

Differentiable Functions ◽

Several Variables ◽

Infinitely Differentiable Functions

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Inequalities for entire functions of finite degree and their application to the theory of differentiable functions of several variables

Thirteen Papers on Functions of Real and Complex Variables - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/080/01 ◽

1969 ◽

pp. 1-38 ◽

Cited By ~ 5

Author(s):

S. M. Nikol′skiĭ

Keyword(s):

Entire Functions ◽

Finite Degree ◽

Differentiable Functions ◽

Several Variables

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The properties of some classes of differentiable functions of several variables defined in an 𝑛-dimensional region

Four Papers on Functions of Real Variables - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/081/03 ◽

1969 ◽

pp. 91-256 ◽

Cited By ~ 1

Author(s):

V. P. Il′in

Keyword(s):

Differentiable Functions ◽

Several Variables

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An integral inequality for differentiable functions of several variables

Siberian Mathematical Journal ◽

10.1007/bf00968694 ◽

1985 ◽

Vol 25 (5) ◽

pp. 790-794 ◽

Cited By ~ 1

Author(s):

Yu. G. Reshetnyak

Keyword(s):

Integral Inequality ◽

Differentiable Functions ◽

Several Variables

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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 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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The approximation in the Lp metric of differentiable functions of several variables by Fourier sums

Approximations of differentiable functions of several variables

On some properties of differentiable functions of several variables

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

Extending n times differentiable functions of several variables

Embedding theorems for Banach spaces of infinitely differentiable functions of several variables

Inequalities for entire functions of finite degree and their application to the theory of differentiable functions of several variables

The properties of some classes of differentiable functions of several variables defined in an 𝑛-dimensional region

An integral inequality for differentiable functions of several variables

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

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

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