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Found 36 Documents (Results 1–36)

Asymptotic behavior of the maximal zero of a polynomial orthogonal on a segment with a nonclassical weight. (English. Russian original) Zbl 1312.33023

Proc. Steklov Inst. Math. 264, Suppl. 1, S39-S43 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 38-42 (2008).
MSC:  33C45
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Pointwise estimates of polynomials orthogonal on a circle with respect to a weight not belonging to the spaces \(L^{r} (r > 1)\). (English. Russian original) Zbl 1235.42019

Proc. Steklov Inst. Math. 266, Suppl. 1 (2009, Suppl. 2), 64-77 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009).
MSC:  42C05
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Introduction to a unified theory of algebraic and trigonometric orthogonal polynomials. (Введение в единую теорию алгебраических и тригонометрических ортогонал’ных полиномов.) (Russian) Zbl 1236.33001

Ekaterinburg: Ural’skiĭ Gosudarstvennyĭ Universitet (ISBN 5-7996-0247-1). 132 p. (2006).
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Zeros of orthogonal polynomials. (English. Russian original) Zbl 1146.42004

Subbotin, Yu. N. (ed.), Function theory. Transl. from the Russian. Moscow: MAIK Nauka/ Interperiodica. Proc. Steklov Inst. Math. 2005, Suppl. 2, S30-S48 (2005); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 11, No. 2, 30-46 (2005).
Reviewer: Yu Jiarong (Wuhan)
MSC:  42C05 33C45 42A05
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The equiconvergence of Fourier sums in orthogonal polynomials. (English) Zbl 1125.42011

Marinov, A. V. (ed.), Topology, mathematical control theory and differential equations, approximation theory. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2004, Suppl. 1, S101-S127 (2004).
MSC:  42C05 42C15
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Pointwise estimates from below of the moduli of the derivatives of orthogonal polynomials on the circle with a weight having singularities. (English. Russian original) Zbl 0838.41007

Sb. Math. 186, No. 6, 771-781 (1995); translation from Mat. Sb. 186, No. 6, 3-14 (1995).
Reviewer: F.Móricz (Szeged)
MSC:  41A10 30E10 42C05
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Asymptotic and extremal properties of orthogonal polynomials in the presence of singularities in the weight. (English. Russian original) Zbl 0824.42020

Stechin, S. B. (ed.) Proceedings of an All-Union school on the theory of functions. Proc. Steklov Inst. Math. 198, 37-82 (1994); translation from Tr. Mat. Inst. Steklova 198, 41-88 (1992).
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