Badkov, V. M. Asymptotic formulae for the zeros of orthogonal polynomials. (English. Russian original) Zbl 1257.42034 Sb. Math. 203, No. 9, 1231-1243 (2012); translation from Mat. Sb. 203, No. 9, 3-14 (2012). MSC: 42C05 30C15 PDFBibTeX XMLCite \textit{V. M. Badkov}, Sb. Math. 203, No. 9, 1231--1243 (2012; Zbl 1257.42034); translation from Mat. Sb. 203, No. 9, 3--14 (2012) Full Text: DOI
Badkov, V. M. Some properties of Jacobi polynomials orthogonal on a circle. (English. Russian original) Zbl 1237.33004 Proc. Steklov Inst. Math. 273, Suppl. 1, 49-58 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010). Reviewer: Lizhong Peng (Beijing) MSC: 33C45 40G05 42C10 PDFBibTeX XMLCite \textit{V. M. Badkov}, Proc. Steklov Inst. Math. 273, 49--58 (2011; Zbl 1237.33004); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010) Full Text: DOI
Badkov, V. M. 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 PDFBibTeX XMLCite \textit{V. M. Badkov}, Proc. Steklov Inst. Math. 264, S39--S43 (2009; Zbl 1312.33023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 38--42 (2008) Full Text: DOI
Badkov, V. M. 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). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Proc. Steklov Inst. Math. 266, 64--77 (2009; Zbl 1235.42019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009) Full Text: DOI
Badkov, V. M. 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). MSC: 33-02 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Введение в единую теорию алгебраических и тригонометрических ортогонал'ных полиномов (Russian). Ekaterinburg: Ural'skiĭ Gosudarstvennyĭ Universitet (2006; Zbl 1236.33001)
Badkov, V. M. 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 PDFBibTeX XMLCite \textit{V. M. Badkov}, in: Function theory. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. S30--S48 (2005; Zbl 1146.42004); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 11, No. 2, 30--46 (2005) Full Text: MNR
Badkov, V. M. 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). Reviewer: Robert E. Zink (Lafayette) MSC: 42C05 42C15 PDFBibTeX XMLCite \textit{V. M. Badkov}, in: Topology, mathematical control theory and differential equations, approximation theory. Transl. from the Russian. Moscow: Maik Nauka/ Interperiodica. S101--S127 (2004; Zbl 1125.42011)
Badkov, V. M. Orders of the weighted Lebesgue constants for Fourier sums with respect to orthogonal polynomials. (English) Zbl 1147.42300 Approximation theory. Asymptotical expansions. Moscow: MAIK Nauka/Interperiodica. Proc. Steklov Inst. Math. 2001, Suppl. 1, S48-S64 (2001). MSC: 42A05 42C05 42C10 41A60 PDFBibTeX XMLCite \textit{V. M. Badkov}, in: Approximation theory. Asymptotical expansions. Moscow: MAIK Nauka/Interperiodica. S48--S64 (2001; Zbl 1147.42300)
Badkov, V. M. Maclaurin’s expansion of Szegő’s function whose weight is positive and satisfies Dini’s condition, uniformly converges in the closed disc. (Russian) Zbl 1014.41019 Tr. Inst. Mat. Mekh. (Ekaterinburg) 5, 199-204 (1998). Reviewer: Ferenc Moricz (Szeged) MSC: 41A58 42C05 41A17 PDFBibTeX XMLCite \textit{V. M. Badkov}, Tr. Inst. Mat. Mekh. (Ekaterinburg) 5, 199--204 (1998; Zbl 1014.41019)
Badkov, V. M. 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 PDFBibTeX XMLCite \textit{V. M. Badkov}, Sb. Math. 186, No. 6, 771--781 (1995; Zbl 0838.41007); translation from Mat. Sb. 186, No. 6, 3--14 (1995) Full Text: DOI
Badkov, V. M. 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). Reviewer: L.Leindler (Szeged) MSC: 42C15 41A10 42A10 41A17 41A60 PDFBibTeX XMLCite \textit{V. M. Badkov}, in: Proceedings of an All-Union school on the theory of functions. (Miass, July 1989). Providence, RI: American Mathematical Society. 41--88 (1992; Zbl 0824.42020); translation from Tr. Mat. Inst. Steklova 198, 41--88 (1992)
Badkov, V. M. Asymptotics of the second kind polynomials and above and below point estimates of its derivatives. (Russian. English summary) Zbl 0810.33003 Tr. Inst. Mat. Mekh. (Ekaterinburg) 1, 71-83 (1992). MSC: 33C45 41A60 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Tr. Inst. Mat. Mekh. (Ekaterinburg) 1, 71--83 (1992; Zbl 0810.33003)
Badkov, V. M. Uniform asymptotic representations of orthogonal polynomials and their derivatives. (English) Zbl 0709.42502 Proc. Steklov Inst. Math. 180, 39-41 (1989). MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{V. M. Badkov}, Proc. Steklov Inst. Math. 180, 39--41 (1989; Zbl 0709.42502)
Badkov, V. M. Systems of orthogonal polynomials explicitly represented by Jacobi polynomials. (English. Russian original) Zbl 0714.42014 Math. Notes 42, No. 5, 858-863 (1987); translation from Mat. Zametki 42, No. 5, 650-659 (1987). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{V. M. Badkov}, Math. Notes 42, No. 5, 858--863 (1987; Zbl 0714.42014); translation from Mat. Zametki 42, No. 5, 650--659 (1987) Full Text: DOI
Badkov, V. M. Two-sided estimates of the Lebesgue function and of the residue of the Fourier series with respect to orthogonal polynomials. (Russian) Zbl 0682.42013 Approximation in concrete and abstract Banach spaces, Collect. Sci. Works, 31-45 (1987). Reviewer: K.Tandori MSC: 42C05 PDFBibTeX XML
Badkov, V. M. On systems of orthogonal polynomials expressed in explicit form by Jacobi polynomials. (Russian) Zbl 0645.42020 Mat. Zametki 42, No. 5, 650-659 (1987). Reviewer: F.Móricz MSC: 42C10 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Mat. Zametki 42, No. 5, 650--659 (1987; Zbl 0645.42020)
Badkov, V. M. Uniform asymptotic representations of orthogonal polynomials and their derivatives in case of weight with singularities. (Russian) Zbl 0742.42010 Theory of functions and approximations, Proc. 3rd Saratov winter school, Saratov/USSR 1986, Interuniv. Sci. Collect., Part 1, 100-104 (1987). Reviewer: F.Móricz (Szeged) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{V. M. Badkov}, in: Rational transformations of Hausdorff measures. . 100--104 (1987; Zbl 0742.42010)
Badkov, V. M. Uniform asymptotic representations of orthogonal polynomials. (Russian) Zbl 0642.33016 Approximation of functions by polynomials and splines, Collect. Artic., Sverdlovsk 1985, 41-53 (1985). Reviewer: A.Magnus MSC: 33C45 PDFBibTeX XML
Badkov, V. M. Best approximation order of Szegö’s function. (Russian) Zbl 0614.41025 Approximation of functions by polynomials and splines, Collect. Artic., Sverdlovsk 1985, 25-40 (1985). Reviewer: C.Mustăţa MSC: 41A50 41A60 41A10 41A25 41A30 42C05 PDFBibTeX XML
Badkov, V. M. Uniform asymptotic representations of orthogonal polynomials. (English) Zbl 0606.42023 Proc. Steklov Inst. Math. 164, 5-41 (1985). MSC: 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Proc. Steklov Inst. Math. 164, 5--41 (1985; Zbl 0606.42023)
Badkov, V. M. Uniform asymptotic representations of orthogonal polynomials. (Russian) Zbl 0583.42014 Tr. Mat. Inst. Steklova 164, 6-36 (1983). Reviewer: F.Móricz MSC: 42C10 PDFBibTeX XMLCite \textit{V. M. Badkov}, Tr. Mat. Inst. Steklova 164, 6--36 (1983; Zbl 0583.42014)
Badkov, V. M. Asymptotic properties of orthogonal polynomials. (Russian) Zbl 0552.42009 Constructive function theory, Proc. int. Conf., Varna/Bulg. 1981, 21-27 (1983). Reviewer: R.Gajewski MSC: 42C05 PDFBibTeX XML
Badkov, V. M. Estimations for the Lebesgue function and the remainder of the Fourier series with respect to orthogonal polynomials. (English) Zbl 0533.42017 Functions, series, operators, Proc. int. Conf., Budapest 1980, Vol. I, Colloq. Math. Soc. János Bolyai 35, 165-181 (1983). Reviewer: R.D.Carmichael MSC: 42C10 PDFBibTeX XML
Badkov, V. M. Approximations of functions in the uniform metric by Fourier sums of orthogonal polynomials. (English) Zbl 0458.42021 Proc. Steklov Inst. Math. 145, 19-65 (1981). MSC: 42C15 42C05 41A17 PDFBibTeX XMLCite \textit{V. M. Badkov}, Proc. Steklov Inst. Math. 145, 19--65 (1981; Zbl 0458.42021)
Badkov, V. M. Approximative Eigenschaften von Fouriersummen nach Orthogonalpolynomen. (Russian) Zbl 0458.42020 Constructive function theory, Proc. int. Conf., Blagoevgrad 1977, 17-24 (1980). MSC: 42C10 PDFBibTeX XML
Badkov, V. M. An approximation of functions in the uniform metric by means of Fourier sums in orthogonal polynomials. (Russian) Zbl 0439.42020 Tr. Mat. Inst. Steklova 145, 20-62 (1980). MSC: 42C15 42C05 42A20 PDFBibTeX XMLCite \textit{V. M. Badkov}, Tr. Mat. Inst. Steklova 145, 20--62 (1980; Zbl 0439.42020)
Badkov, V. M. The asymptotic behavior of orthogonal polynomials. (English) Zbl 0435.42012 Math. USSR, Sb. 37, 39-51 (1980). MSC: 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Math. USSR, Sb. 37, 39--51 (1980; Zbl 0435.42012) Full Text: DOI
Badkov, V. M. Asymptotisches Verhalten von Orthogonalpolynomen. (Russian) Zbl 0412.42014 Mat. Sb., N. Ser. 109(151), 46-59 (1979). MSC: 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Mat. Sb., Nov. Ser. 109(151), 46--59 (1979; Zbl 0412.42014)
Badkov, V. M. Approximation properties of Fourier series in orthogonal polynomials. (English) Zbl 0413.42014 Russ. Math. Surv. 33, No. 4, 53-117 (1978). MSC: 42C10 42A10 PDFBibTeX XMLCite \textit{V. M. Badkov}, Russ. Math. Surv. 33, No. 4, 53--117 (1978; Zbl 0413.42014) Full Text: DOI
Badkov, V. M. Approximative Eigenschaften von Fourierreihen nach Orthogonalpolynomen. (Russian) Zbl 0383.42009 Usp. Mat. Nauk 33, No. 4(202), 51-106 (1978). MSC: 42C10 42A10 PDFBibTeX XMLCite \textit{V. M. Badkov}, Usp. Mat. Nauk 33, No. 4(202), 51--106 (1978; Zbl 0383.42009)
Badkov, V. M. Mean and almost everywhere convergence of Fourier series in orthogonal trigonometric polynomials. (Russian) Zbl 0513.42022 The theory of the approximation of functions, Proc. Inf. Conf., Collect. Artic. Kaluga 1975, 23-27 (1977). MSC: 42C10 42A20 PDFBibTeX XML
Badkov, V. M. Convergence in the mean and almost everywhere of Fourier series in polynomials orthogonal on an interval. (English) Zbl 0318.42011 Math. USSR, Sb. 24(1974), 223-256 (1976). MSC: 42A20 33C45 42C05 42C15 41A10 PDFBibTeX XMLCite \textit{V. M. Badkov}, Math. USSR, Sb. 24, 223--256 (1976; Zbl 0318.42011) Full Text: DOI
Badkov, V. M. Konvergenz im Mittel und fast überall von Fourier-Reihen nach Polynomen, die auf einem Intervall orthogonal sind. (Russian) Zbl 0311.42006 Mat. Sb., N. Ser. 95(137), 229-262 (1974). MSC: 42A20 33C45 42C05 42C15 41A10 PDFBibTeX XMLCite \textit{V. M. Badkov}, Mat. Sb., Nov. Ser. 95(137), 229--262 (1974; Zbl 0311.42006) Full Text: EuDML
Badkov, V. M. Boundedness in the mean of orthonormalized polynomials. (English) Zbl 0272.42014 Math. Notes 13, 453-459 (1973). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{V. M. Badkov}, Math. Notes 13, 453--459 (1973; Zbl 0272.42014) Full Text: DOI
Badkov, V. M. Über die Beschränktheit im Mittel von orthonormierten Polynomen. (Russian) Zbl 0259.33013 Mat. Zametki 13, 759-770 (1973). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Mat. Zametki 13, 759--770 (1973; Zbl 0259.33013)
Badkov, V. M. Approximation of functions by partial sums of Fourier series in polynomials orthogonal on an interval. (English. Russian original) Zbl 0209.37202 Math. Notes 8(1970), 712-717 (1971); translation from Mat. Zametki 8, 431-441 (1970). MSC: 42C15 42A16 42C05 PDFBibTeX XMLCite \textit{V. M. Badkov}, Math. Notes 8, 712--717 (1971; Zbl 0209.37202); translation from Mat. Zametki 8, 431--441 (1970) Full Text: DOI