-regularly varying functions in approximation theory.
A Class of Multidimensional Periodic Splines.
A method for the calculus of Bernstein's polynomial.
A systematic method for the calculus of Bernstein's polynomial is described. It consists of reducing the problem to a homogeneous linear system of equations that may be constructed by fixed rules. Several problems about its computer implementation are discussed.
A new classification of periodic functions and their approximation
A note on a Theorem of Ermakov
A note on degree of approximation by Nörlund and Riesz operators
A note on Newbery's algorithm for discrete least-squares approximation by trigonometric polynomials.
A survey of certain results on strong approximation by orthogonal series
This is a survey of results in a particular direction of the theory of strong approximation by orthogonal series, related mostly with author's contributions to the subject.
An analytical method for calculation of integrals appearing in approximate solutions of deformable body mechanics
An approximation problem in , 2 < p < ∞
Approximation by Nörlund operators
Approximation by trigonometric polynomials in weighted Orlicz spaces
We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.
Approximation diophantienne et ensembles lacunaires
Approximation in weighted generalized grand Lebesgue spaces
The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of 2π-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved. As a corollary some results on constructive characterization problems in generalized Lipschitz classes are presented.
Approximation of functions possessing derivatives of positive orders
Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations
The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions remain valid....
Approximation of signals (functions) belonging to the weighted -class by linear operators.
Approximation on the sphere by weighted Fourier expansions.
Approximation properties of partial sums of Fourier series.
Approximation to continuous functions in the Hölder metric