Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Sultanakhmedov M. S. Asymptotic properties and weighted estimation of polynomials, orthogonal on the nonuniform grids with Jacobi weight. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 1, pp. 38-47. DOI: 10.18500/1816-9791-2014-14-1-38-47, EDN: SCSSRL

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Asymptotic properties and weighted estimation of polynomials, orthogonal on the nonuniform grids with Jacobi weight

Sultanakhmedov Murad Salikhovich, Daghestan Scientific Centre of Russian Academy of Sciences

 Current work is devoted to investigation of properties of polynomials, orthogonal with Jacobi weight on nonuniform grid where. In case of integer for such discrete orthonormal polynomials  asymptotic formula  with  was obtained, where classical Jacobi polynomial, remainder term. As corollary of asymptotic formula it was deduced weighted estimation  polynomials on segment [−1,1]. 

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