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2.367  Articles
1 of 238 pages  |  10  records  |  more records»
For a twice continuously differentiable function, defined on nn-dimensional unit cube, we obtain sharp asymptotics of LpL_p-error for approximation by harmonic splines, and construct the asymptotically optimal sequence of partitions.

The use of spline approximation method for studying the information security problem tasks is considered in the article. The all possible technical channels of information leakage must be considered and researched for assessing information security. The u... see more

We obtain the conditions under which the exact values of the best relative approximation of classes of periodic functions by splines coincide with the exact values of the best approximations of these classes by splines without constraints.

Considered the method of spline approximation of television images based on multilevel spline approximation

We have found exact values of approximation in uniform metric by interpolative infinitely differentiable splines on the classes WrLpW^r_{L_p}.

We find exact asymptotic equalities for the best nonsymmetric approximations of classes Wr1W_1^r by splines with bounded higher derivative.

The error of the decision of the first boundery problem for the ordinary differential equation of the second order with a nonlinear right part is defined. The second derivative of defined function is approximated by a linear spline.

We show that the error of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions comprising NN elements has the order N-2N^{-2} as N?8N \rightarrow \infty.

A two parameter family of C1 rational cubic spline functions is presented for the graphical representation of shape preserving curve interpolation for shaped data. These parameters have a direct impact on the shape of the curve. Constraints are devel... see more

1 of 238 pages  |  10  records  |  more records»