Approximation of smooth periodic functions in several variables
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K.I Babenko (Ed.), Theoretical Background and Constructing of Computational Algorithms for Mathematical-Physical Problems, Nauka, Moscow (1979).
IK. 1. INTRODUCTION. This paper deals with approximation of smooth periodic functions in k- variables. We list some results which ...
The paper deals with imbedding theorems and harmonic approximation for classes of periodic functions of several variables.
Abstract. The authors propose an algorithm to construct Chebyshev approximation for functions of several variables by a generalized polynomial as a limiting ...
Approximation of smooth periodic functions in several variables. Authors. Marek Kowalski · Waldemar Sielski. Publication date: 1988.
The author investigates questions of the approximation of functions of several variables with a bounded mixed derivative or difference. He finds the orders of ...
Approximation of certain classes of smooth periodic functions of several variables by means of interpolation splines defined over a uniform net · Article PDF ...
The orders of the quantities. are obtained, where is a class of functions with mixed derivative, or the corresponding prelimiting difference, bounded in .
Oct 15, 2017 · Let F:R2→Rn be a C1-function 1-periodic in each variable, so it can be considered as a function on the flat torus T2=R2/Z2. We say that a point ...
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We study the approximation of the classes Bp,qrB_{p,\theta }^r and Wp,arW_{p,\alpha }^r of periodic functions of several variables by multiple Fourier sums ...