Registration Number
0209U001072,
0106U001947
, R & D reports
Title
The analysis of Fourier, the equation of convolution, approximation of functions
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Head
Trigub Roald Mikhailovich,
Registration Date
12-01-2009
Organization
Donetsk National University
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A criteria of absolute convergence of grouped Fourier series for function with bounded variation is obtained. A question about comparing of the best approximation by polynomials with interpolation with each given system of knots and the best approximation by polynomials without any assumptions. Criteria for comparing of differential operators functions on a circle, a line, and a ray. Sufficient condition for the positive definiteness of function of a special form. Convolution equation on bounded domain in multidimensional Euclidean spaces are investigated. A solution of the Berenstein-Gay problem in obtained. The characteristic distribution in introduced to prove the exactness of main results.
Product Description
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2020-04-02
