On linear summability methods of fourier series in polynomials orthogonal in a discrete Sobolev space

Abstract

Under study are the discrete Sobolev spaces with the inner productSome results are presented on linear summation methods for Fourier series in orthonormal polynomials of discrete Sobolev spaces.

On multipliers for Fourier series in Sobolev orthogonal polynomials

“…It is worth pointing out that, unlike the investigations in [6]- [8], here we are concentred with different systems of orthogonal polynomials and we examine different problems. Some results obtained below were announced in [21] and [22]. § 2.…”