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Russian Mathematics : Volume 61

Russian Mathematics : Volume 61, Issue 8, August 2017

Estimate of the attraction domain for a class of nonlinear switched systems

The extension problem for functions with zero weighted spherical means

Method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator

Uniformization of one-parametric families of complex tori

Keldysh problem for mixed type equation with strong characteristic degeneration and singular coefficient

Main Metric invariants of finite metric spaces. III

Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh

Well-posed integro-differential equations in a new pair of weight-free Sobolev spaces

Quasi-stationary solution of a problem of electrochemical copying of a cogged surface

Left-invariant pseudo-Riemannian metrics on four-dimensional lie groups with nonzero Schouten–Weyl tensor

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Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh

Content Provider	Springer Nature Link
Author	Sharapudiv, I. I. Sharapudiv, T. I.
Copyright Year	2017
Abstract	We consider the problem of constructing polynomials, orthogonal in the Sobolev sense on the finite uniform mesh and associated with classical Chebyshev polynomials of discrete variable. We have found an explicit expression of these polynomials by classicalChebyshev polynomials. Also we have obtained an expansion of new polynomials by generalized powers ofNewton type. We obtain expressions for the deviation of a discrete function and its finite differences from respectively partial sums of its Fourier series on the new system of polynomials and their finite differences.
Starting Page	59
Ending Page	70
Page Count	12
File Format	PDF
ISSN	1066369X
Journal	Russian Mathematics
Volume Number	61
Issue Number	8
e-ISSN	1934810X
Language	English
Publisher	Allerton Press
Publisher Date	2017-07-19
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	polynomials orthogonal in Sobolev sence Chebyshev polynomials orthogonal on the mesh approximation of discrete functions mixed series of Chebyshev polynomials orthogonal on a uniform mesh Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh

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