Eigenvalue problems with eigenparameter appearing in the boundary conditions usually
have complicated characteristic determinant where zeros cannot be explicitly computed …

An efficient scheme is introduced to construct interpolatory curves and surfaces passing
through a set of given scattered data points. The scheme is based on an interpolatory basis …

In this paper, we discuss some numerical realizations of Shannon's sampling theorem. First
we show the poor convergence of classical Shannon sampling sums by presenting sharp …

The Hermite sampling series is used to approximate bandlimited functions. In this article, we
introduce two modifications of Hermite sampling with a Gaussian multiplier to approximate …

In this paper, we present new regularized Shannon sampling formulas which use localized
sampling with special window functions, namely Gaussian, B-spline, and sinh-type window …

The generalized sampling expansion which uses samples from a bandlimited function f and
its first r derivatives was first introduced by Linden and Abramson (Inform. Contr. 3, 26–31 …

We investigate some modifications of the two-dimensional sampling series with a Gaussian
function for wider classes of bandlimited functions, including unbounded entire functions on …

In this paper we compute the eigenvalues of second order Birkhoff-regular eigenvalue
problems using the sinc-Gaussian method established by Qian (2002). The error of this …

The sinc-Gaussian sampling technique derived by Qian (2002) establishes a sampling
technique which converges faster than the classical sampling technique. Schmeisser and …

Recently, Norvidas has introduced the general multidimensional Hermite sampling series,
which involves samples from a function and its mixed and non-mixed partial derivatives. The …