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61.398  Articles
1 of 6.141 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 theorem on the degree of approximation to continuous function f(x)?L(-8;8)f(x) \in L(-\infty; \infty) by Voronoi means of its Fourier integral is proved.

The theorem on the degree of approximation to a function f(x)?L(-8;8)f(x) \in L(-\infty; \infty) by Voronoi means of its Fourier integral, as well as a theorem on the degree of approximation to a function g(x)=1p8?0f(x+t)-f(x-t)tdtg(x) = \frac{1}{\pi} \in... see more

We introduce some linear positive operators of the Szasz-Mirakjan type in the weighted spaces of continuous functions in two variables. We study the degree of the approximation of functions by these operators. The similar results for functions in one vari... see more

Approximation of transitive function by means of solution of second order differential equation has been examined and estimation of the error of transfer function has been determined.

Context. The questions of constructing a two-sided iterative process for finding a positive solution of the first boundary value problem for an ordinary second-order differential equation on the basis of the method of Green’s functions are considered... see more

Problems of the best polynomial approximation of classes of analytic functions Hmp,RH^m_{p,R}, m?Z+m\in \mathbb{Z}_+, R?1R \geqslant 1, 1?p?81 \leqslant p \leqslant \infty, have been investigated in the Hardy spaces HpH_p. The best linear methods of appro... see more

The asymptotic meaning of the best one-sided approximation of functions from the class W18W^1_{\infty} by algebraic polynomials of degree not greater than nn in L1L_1 space is calculated here.

New sharp Jackson type inequalities for ridge and polinomial approximation of some classes of functions harmonic inside unit disk are obtained.

1 of 6.141 pages  |  10  records  |  more records»