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- Publications
- Influence
EXTREME VALUES OF FUNCTIONALS AND BEST APPROXIMATION ON CLASSES OF PERIODIC FUNCTIONS
- N. Korneičuk
- Mathematics
- 28 February 1971
In this paper, we compute upper bounds for the best approximation by trigonometric polynomials in the metrics and on the classes of 2-periodic functions such that , where is a given convex modulus of… Expand
BEST QUADRATURE FORMULAS FOR CLASSES OF DIFFERENTIABLE FUNCTIONS AND PIECEWISE-POLYNOMIAL APPROXIMATION
- N. Korneičuk, N. E. Lušpaĭ
- Mathematics
- 31 December 1969
In this article we obtain characteristic properties of piecewise-polynomial functions (spline functions) that have least deviation from zero in the metric of C. This has allowed us to obtain… Expand
Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974
- D. V. Anosov, Ja. Barzdin, +17 authors D. Želobenko
- History
- 1977
INEQUALITIES FOR DIFFERENTIABLE PERIODIC FUNCTIONS AND BEST APPROXIMATION OF ONE CLASS OF FUNCTIONS BY ANOTHER
- N. Korneičuk
- Mathematics
- 30 April 1972
New results are obtained in this paper which elucidate properties of differentiable periodic functions connected with rearrangements. These results are applied in order to obtain a sharp estimate of… Expand
On approximation of a class by another class and extremal subspaces inL1
- N. Korneičuk, A. Ligun
- Mathematics
- 1 June 1981
AbstractПолучена оценка (в опр еделенном смысле неу лучшаемая) наилучшего приближе ния в метрикеL1=L1(0,2π) 2π-перио дических функций кла сса WrHω = {f:f∈Cr,ω(f(r),δ) ≦ ω(δ)}, r = 0, 1, ..., (ω(δ) —… Expand
On extremal subspaces and approximation of periodic functions by splines of minimal defect
- N. Korneičuk
- Mathematics
- 1 June 1975
AbstractН. П. Корнейчук СССР, ДНЕПРОПЕТРОВСК 320 625 ПР. ГАГАРИНА 72 ДНЕПРОПЕТРОВСКИЙ ГО СУДАРСТВЕННЫЙ УНИВЕ РСИТЕТ
WIDTHS IN $ L_p$ OF CLASSES OF CONTINUOUS AND OF DIFFERENTIABLE FUNCTIONS, AND OPTIMAL METHODS OF CODING AND RECOVERING FUNCTIONS AND THEIR DERIVATIVES
- N. Korneičuk
- Mathematics
- 30 April 1982
Exact values of linear widths (diameters), Kolmogorov widths and Gel'fand widths, in -spaces are found for some classes of functions, using a convex majorant of the modulus of continuity of a… Expand