Different types of sinc integrals are investigated when the standard sine function is replaced by generalised sinp,q in two parameters. A striking generalisation improper Dirichlet integral achieved. second surprising but interesting identity between and that integrand sinc2 discovered. Moreover, an asymptotically sharpened form Ball's inequality obtained terms

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

Optical sinc-shaped Nyquist pulses are widely used in microwave photonics, optical signal processing, and telecommunications due to their numerous advantages, like rectangular shape the frequency domain, orthogonality consequential possibility use these transmit data with maximum possible symbol rate. Ideal sinc spectrum just a mathematical construct. However, high-quality pulse sequences offer...

Our aim in this paper is to introduce and study a new sort of fuzzy sublattice (ideal, filter) of a lattice called ) q , ( ∨ ∈ ∈ -fuzzy sublattice (ideal, filter). These fuzzy sublattices (ideals, filters) are characterized by their level sublattices (ideals, filters). Finally, we give a generalization of ) q , ( ∨ ∈ ∈ -fuzzy sublattices (ideals, filters).

Sinc< I ~H7. the beam of the syndlfo·cyclotron is tunned and adapted Ii" medical treatments. 11,e first eye treatment was realized in 1991 and Irom this date the Centre de Protontherapie d'Orsay (C.I' .O.) accumulates experience for the beam control. Beside the classical discussions on the parameters settings "fthe machine and the beamline. the "wrall problem of accuracy of the beam must also t...

In this paper the characterization as convolution operators of filters sending finite energy signals to bounded signals is used to prove several theoretical results concerning the distance between the ideal filter and the spaces of physically realizable filters. Both the analog and the digital cases are studied and the formulas for the distance and the angle between the filters in each case are...

A new computing method for discrete-signal sinc interpolation suitable for use in image and signal processing and the synthesis of holograms is described. It is shown to be superior to the commonly used zero-padding interpolation method in terms of interpolation accuracy, flexibility, and computational complexity.

We discuss linear methods for interpolation, including nearest neighbor, bilinear, bicubic, splines, and sinc interpolation. We focus on separable interpolation, so most of what is said applies to one-dimensional interpolation as well as N-dimensional separable interpolation. Source Code The source code (ANSI C), its documentation, and the online demo are accessible at the IPOL web page of this...

Recently we have reported a new method of rational approximation the sinc function obtained by sampling and Fourier transforms. However, this requires trigonometric multiplier that originates from shifting property transform. In work show how to represent transform $f(t)$ in form ratio two polynomials without any multiplier. A MATLAB code showing algorithmic implementation proposed for is prese...