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Discrete polynomials orthogonal with respect Sobolev-type inner product associated with Chebyshev polynomials orthogonal on a uniform grid
T. I. Sharapudinovab a Daghestan Scientific Centre of Russian Academy of Sciences
b Vladikavkaz Scientific Centre of the RAS
Abstract:
In current paper we consider new polynomials, generated by orthogonal on uniform grid Chebyshev polynomials. Newly introduced polynomials are themselves orthogonal with respect to the Sobolev-type inner product. The explicit form of these polynomials, convenient to study their asymptotic properties, is obtained.
Keywords:
orthogonal polynomials, Sobolev-type orthogonal polynomials, Chebyshev polynomials.
Received: 17.10.2015 Revised: 25.11.2015 Accepted: 26.11.2015
Citation:
T. I. Sharapudinov, “Discrete polynomials orthogonal with respect Sobolev-type inner product associated with Chebyshev polynomials orthogonal on a uniform grid”, Daghestan Electronic Mathematical Reports, 2015, no. 4, 15–20
Linking options:
https://www.mathnet.ru/eng/demr16 https://www.mathnet.ru/eng/demr/y2015/i4/p15
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Abstract page: | 129 | Full-text PDF : | 45 | References: | 21 |
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