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Found 17 Documents (Results 1–17)

On the strong form of asymptotic formulas of the Voronovskaya-Bernstein type with a pointwise estimate of the remainder term. (English. Russian original) Zbl 1377.41007

J. Math. Sci., New York 225, No. 6, 859-876 (2017); translation from Zap. Nauchn. Semin. POMI 449, 32-59 (2016).
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Estimates for functionals with a known finite set of moments in terms of deviations of operators constructed with the use of the Steklov averages and finite differences. (English. Russian original) Zbl 1262.41010

J. Math. Sci., New York 184, No. 6, 679-698 (2012); translation from Zap. Nauchn. Semin. POMI 392, 32-66 (2011).
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Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means. (English. Russian original) Zbl 1303.41006

J. Math. Sci., New York 178, No. 2, 115-131 (2011); translation from Zap. Nauchn. Semin. POMI 383, 5-32 (2010).
MSC:  41A17 26D15
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Estimates of errors of quadrature formulas by linear combinations of the uniform norm and oscillation of derivatives with both sharp constants. (English. Russian original) Zbl 1050.26022

J. Math. Sci., New York 117, No. 3, 4065-4095 (2003); translation from Probl. Mat. Anal. 26, 3-46 (2003).
MSC:  26D15 41A55 65D32
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Sharp Kolmogorov-type inequalities for moduli of continuity and best approximations by trigonometric polynomials and splines. (English. Russian original) Zbl 1078.42001

J. Math. Sci., New York 124, No. 2, 4845-4857 (2004); translation from Zap. Nauchn. Semin. POMI 290, 5-26 (2002).
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Sharp estimates for the norms of differences in terms of the norms of the derivatives and the best majorants of moduli of continuity of periodic functions. (English. Russian original) Zbl 1050.41011

J. Math. Sci., New York 112, No. 1, 3967-3991 (2002); translation from Probl. Mat. Anal. 24, 61-94 (2002).
MSC:  41A17 26A15 26A24
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Exact inequalities connected with estimates for approximations of periodic functions by continuity moduli of the derivatives of odd orders with various steps. (Russian, English) Zbl 1060.41502

Probl. Mat. Anal. 19, 69-88 (1999); translation in J. Math. Sci., New York 101, No. 2, 2914-2929 (2000).
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On the precision of a representation of the Steklov means of functions of two variables by means of singular integrals. (English. Russian original) Zbl 1043.42004

Vestn. St. Petersbg. Univ., Math. 32, No. 4, 9-17 (1999); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 4, 13-21 (1999).
MSC:  42B05 26B30 42B08
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Approximation of functions on standard simplexes. (English. Russian original) Zbl 0928.41003

Transl., Ser. 2, Am. Math. Soc. 188, 131-151 (1999); translation from Tr. St-Peterbg. Mat. Obshch. 4, 193-221 (1996).
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