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- Publications
- Influence
Asymptotical behavior of the optimal linear spline interpolation error of C2 functions
- V. Babenko, Y. Babenko, A. Ligun, A. Shumeiko
- Mathematics
- 2006
- 23
- 3
Exact constants of approximation for differentiable periodic functions
- A. Ligun
- Mathematics
- 1 July 1973
For all odd r we construct a linear operator Br,r(f) which maps the set of 2π-periodic functionsf(t)ε X(r) (X(r)=C(r) or L1(r)) into a set of trigonometric polynomials of order not higher than n-1… Expand
Exact inequalities for the upper bounds of seminorms on a class of periodic functions
- A. Ligun
- Mathematics
- 1 May 1973
We establish exact inequalities for the upper bounds of seminorms on classes of differentiable periodic functions, and as corollaries of them, exact inequalities between the best approximations by… Expand
Exact inequalities for splines and best quadrature formulas for certain classes of functions
- A. Ligun
- Mathematics
- 1 June 1976
In this note inequalities between the norms of a spline and its derivatives in various Orlich spaces are obtained. These inequalities are analogs of the inequalities of L. V. Takov for… Expand
Some inequalities between best approximations and moduli of continuity in an L2 space
- A. Ligun
- Mathematics
- 1 December 1978
Description of Convex Curves
- A. Ligun, A. Shumeiko
- Mathematics
- 1 July 2000
We present a description of convex curves, which enables one to reduce the problem of approximation of a convex curve by piecewise circular lines in the Hausdorff metric to the problem of… Expand
Optimal strategies for seeking the global maximum of a function
- N. F. Zaliznyak, A. Ligun
- Mathematics
- 1978
Interpolation by polyhedral functions
- V. Babenko, A. Ligun
- Mathematics
- 1 December 1975
AbstractA polyhedral functionlp(Δn) (f). interpolating a function f, defined on a polygon Φ, is defined by a set of interpolating nodes Δn ⊂Φ and a partition P(Δn) of the polygon Φ into triangles… Expand
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