9 citations · 11 across the 6 of their papers we have counts for
6 papers
Curvilinearity and Orthogonality
Vladimir S. Chelyshkov
We introduce sequences of functions orthogonal on a finite interval: proper orthogonal rational functions, orthogonal exponential functions, orthogonal logarithmic functions, and t…
Spectral Shape Preserving Approximation
Vladimir S. Chelyshkov
We introduce an algorithm of joint approximation of a function and its first derivative by alternative orthogonal polynomials on the interval [0,1].The algorithm exhibits propertie…
Alternative Orthogonal Rational Functions on a Half Line
Vladimir S. Chelyshkov
System of alternatively orthogonalized rational functions of Jacobi type on the half line is defined and its properties are established. Three subsystems of proper an…
Alternative Jacobi Polynomials and Orthogonal Exponentials
Vladimir S. Chelyshkov
Sequences of orthogonal polynomials that are alternative to the Jacobi polynomials on the interval are defined and their properties are established. An -parameterize…
A Spectral Method for Solving the Cauchy Problem
Vladimir S. Chelyshkov
A new approach for integration of the initial value problem for ordinary differential equations is suggested. The algorithm is based on approximation of the solution by a system of…
Alternative Orthogonal Polynomials
Vladimir Chelyshkov
The double-direction orthogonalization algorithm is applied to construct sequences of polynomials, which are orthogonal over the interval [0,1]with the weighting function 1. Functi…