Linear transforms and convolution
Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials.
Numerical Computation of the Fourier Transform Using Laguerre Functions and the Fast Fourier Transform.
On a new kind of 2-periodic trigonometric interpolation
It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period . We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the theoretical...
On General Hermite Trigonometric Interpolation.
On Jackson type inequality in Orlicz classes.
It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.
On Nonlinear Condensation Principles with Rates.
On osculatory interpolation by trigonometric polynomials.
On the behavior of -derivative near the origin of sine series with convex coefficients.
On the calculation of approximate fekete points: the univariate case.
On The Interpolation Between Certain Theorems On Fourier Transforms.
On the method of approximation by families of linear polynomial operators.
Quadrature-free quasi-interpolation on the sphere.
Roundoff errors in the fast computation of discrete convolutions
The efficient evaluation of a discrete convolution is usually carried out as a repated evaluation of a discrete convolution of a special type with the help of the fast Fourier transform. The paper is concerned with the analysis of the roundoff errors in the fast computation of this convolution. To obtain a comparison, the roundoff errors in the usual (direct) computation of this convolution are also considered. A stochastic model of the propagation of roundoff errors. is employed. The theoretical...
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Some remarks on a theorem of S.M. Lozinski concerning linear process of approximation of periodic functions
Stability Properties of Trigonometric Interpolating Operators.
Sur l'interpolation au moyen des fonctions circulaires
The divergence phenomena of interpolation type operators in space
The General Recurrence Relation for Divided Differences and the General Newton-Interpolation-Algorithm With Applications to Trigonometric Interpolation.