Method of increase of a convergence of ranks of Fourier and interpolyatsionny trigonometrical multinomials

Authors

  • В. П. Денисюк Національний авіаційний університет

DOI:

https://doi.org/10.18372/2073-4751.3.7074

Abstract

It is offered a method of phantom function of a convergence of ranks of Fourier. The method is based on preliminary compression of function and its further continuation by means of multinomials Ermita. It is offered a method of phantom knots of increase of a convergence of trigonometrical interpolyatsionny multinomials. It is based on compression of a piece of interpolation and addition to sequence of interpolyatsionny knots of a certain number of phantom knots. Values at added phantom knots are calculated by means of multinomials Ermita or steal up. It is carried out control calculations with use of both methods. Results of these control calculations will be coordinated with theoretical provisions and show efficiency of the offered methods

Author Biography

В. П. Денисюк, Національний авіаційний університет

д.ф.-м.н.

References

Денисюк В.П. Сплайни та сигнали. – К.: ЗАТ «ВІПОЛ», 2007. – 228 с.

Дзядык В.К. Введение в теорию равномерного приближения функций полиномами. – М.: Наука, 1977. – 512 с.

Р.В. Хемминг. Численные методы. – М.: Наука, 1968. – 400 с.

Published

2012-09-26

Issue

Section

Статті