Application of Jacobi polynomials to approximate solution of a complete singular integral equation with Cauchy kernel on the real half-line
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2017, Vol 0, Issue 1
Abstract
Jacobi polynomials are used to derive approximate solutions of the complete singular integral equation with Cauchy–type kernel defined on the real half–line in the case of constant complex coefficients. Moreover, estimations of errors of the approximated solutions are presented and proved.
Authors and Affiliations
Dorota Pylak
Keywords
Related Articles
- EP ID EP236284
- DOI 10.26485/0459-6854/2017/67.1/10
- Views 54
- Downloads 0
Estimates for approx-imations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of ψ, β ) differentiable functions / Oszacowania dla aproksymacji sumami Fouriera, najlepszych aproksymacji i najlepszych ortogonalnych trygonometrycznych aproksymacji klas funkcji różniczkowalnych
We obtain the exact-order estimates for approximations by Fourier sums, best ap- proximations and best orthogonal trigonometric approximations in metrics of spaces Ls, 1 ≤s < 1, of classes of 2 π -p eriodic functions, wh...
Separating transformation and extremal decomposition of the complex plane / Przekształcenie oddzielające i eksperymentalny rozkład płaszczyzny zespolonej
The paper is devoted to extremal problems of the geometric function theory of complex variable associated with estimates of functionals defined on systems of non-overlapping do- mains. In particular, focus of investigati...
The magnetic and electric field produced by a proton bunch from the LHC and project of the chamber for investigations in these fields
This paper describes the estimation method of the spatial distribution of magnetic field induction and electric field intensity produced by a relativistic beam of charged particles. The described method is applied to est...
The problem of the shadows
We consider the review of results on building generalized convex hull for family consist- ing of convex sets in Euclidean space. The solution of similar problems in (hyper)complex Euclidean space is obtained. The unsolve...
When is an asymmetric truncated Hankel opertor equal to the zero operator? / Kiedy asymetryczny obcięty operator Hankela równy jest operatorowi zerowemu?
-