Berdyshev, V. I. Characterization of optimal trajectories in \(\mathbb{R}^3\). (English. Russian original) Zbl 1434.41024 Proc. Steklov Inst. Math. 305, Suppl. 1, S10-S15 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 40-45 (2018). MSC: 41A50 49N45 93B07 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Proc. Steklov Inst. Math. 305, S10--S15 (2019; Zbl 1434.41024); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 40--45 (2018) Full Text: DOI
Berdyshev, V. I. Observers and a moving object in \(\mathbb{R}^3\). (English. Russian original) Zbl 1428.41034 Dokl. Math. 96, No. 2, 538-540 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 5, 506-508 (2017). MSC: 41A50 93B07 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Dokl. Math. 96, No. 2, 538--540 (2017; Zbl 1428.41034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 5, 506--508 (2017) Full Text: DOI
Berdyshev, V. I. A moving object and observers in \(\mathbb{R}^2\) with a piecewise smooth shading set. (English. Russian original) Zbl 1380.49026 Proc. Steklov Inst. Math. 296, Suppl. 1, S95-S101 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4 (2015). MSC: 49K35 41A50 49N70 41A29 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Proc. Steklov Inst. Math. 296, S95--S101 (2017; Zbl 1380.49026); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4 (2015) Full Text: DOI
Berdyshev, V. I. Linear approximation of vector functions. (English. Russian original) Zbl 1326.41032 Proc. Steklov Inst. Math. 288, Suppl. 1, S40-S45 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 38-43 (2014). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A45 41A10 41A50 41A52 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Proc. Steklov Inst. Math. 288, S40--S45 (2015; Zbl 1326.41032); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 38--43 (2014) Full Text: DOI
Arestov, V. V.; Berdyshev, V. I.; Chernykh, N. I.; Demina, T. V.; Kholschevnikova, N. N.; Konyagin, S. V.; Subbotin, Yu. N.; Telyakovskii, S. A.; Tsar’kov, I. G.; Yudin, V. A. Exposition of the lectures by S. B. Stechkin on approximation theory. (English. Russian original) Zbl 1277.41001 Eurasian Math. J. 2, No. 4, 5-155 (2011). Reviewer: Daniel Cárdenas-Morales (Jaén) MSC: 41-01 PDFBibTeX XMLCite \textit{V. V. Arestov} et al., Eurasian Math. J. 2, No. 4, 5--155 (2011; Zbl 1277.41001) Full Text: MNR
Berdyshev, V. I. Differentiation of navigation error with respect to an approximating function and a geophysical field fragment. (English. Russian original) Zbl 0987.86003 Comput. Math. Math. Phys. 40, No. 7, 961-969 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 1003-1011 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 86A30 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Comput. Math. Math. Phys. 40, No. 7, 961--969 (2000; Zbl 0987.86003); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 1003--1011 (2000)
Arestov, V. V.; Berdyshev, V. I.; Subbotin, Yu. N.; Chernykh, I. I. S. B. Stechkin and the theory of approximation. (Russian) Zbl 1059.41500 Tr. Inst. Mat. Mekh. (Ekaterinburg) 4, 3-16 (1996). Reviewer: F. Smithies (MR1483928) MSC: 41-03 01A60 01A70 42-03 PDFBibTeX XMLCite \textit{V. V. Arestov} et al., Tr. Inst. Mat. Mekh. (Ekaterinburg) 4, 3--16 (1996; Zbl 1059.41500)
Berdyshev, V. I. Polynomial approximation connected with navigation over geophysical fields. (English. Russian original) Zbl 0804.41004 Russ. Acad. Sci., Dokl., Math. 46, No. 1, 157-160 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 6, 1099-1102 (1992). MSC: 41A10 41A99 41A50 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Russ. Acad. Sci., Dokl., Math. 46, No. 1, 1 (1992; Zbl 0804.41004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 6, 1099--1102 (1992)
Berdyshev, V. I. Approximation by the Lipschitz class and the best trajectories. (English) Zbl 0825.65039 Sov. J. Numer. Anal. Math. Model. 4, No. 4, 253-266 (1989). MSC: 65J05 41A50 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Sov. J. Numer. Anal. Math. Model. 4, No. 4, 253--266 (1989; Zbl 0825.65039)
Berdyshev, V. I. On approximation by a Lipschitz class and best trajectories. (Russian) Zbl 0717.41037 Theory of functions and approximations, Proc. 3rd Saratov winter school, Saratov/USSR 1986, Interuniv. Sci. Collect., Part 1, 110-114 (1987). MSC: 41A30 41A50 PDFBibTeX XML
Berdyshev, V. I. Differentiability of the metric projection in a normed space. (Russian) Zbl 0629.46018 Approximation of functions by polynomials and splines, Collect. Artic., Sverdlovsk 1985, 58-71 (1985). Reviewer: M.I.Kadets MSC: 46B20 41A50 52A15 PDFBibTeX XML
Berdyshev, V. I. Best approximation in \(L_ p\) by a class of functions of bounded variation. (Russian) Zbl 0612.41034 Approximation of functions by polynomials and splines, Collect. Artic., Sverdlovsk 1985, 72-82 (1985). Reviewer: C.Mustăţa MSC: 41A50 41A30 92D10 41A44 PDFBibTeX XML
Berdyshev, V. I. On differentiability of the operator of best approximation. (English) Zbl 0548.41017 Functions, series, operators, Proc. int. Conf., Budapest 1980, Vol. I, Colloq. Math. Soc. János Bolyai 35, 237-248 (1983). Reviewer: D.Wulbert MSC: 41A50 41A65 41A36 PDFBibTeX XML
Berdyshev, V. I. The metric projection onto the class \(H(\Omega)\). (English. Russian original) Zbl 0524.41019 Sov. Math., Dokl. 26, 402-404 (1982); translation from Dokl. Akad. Nauk SSSR 266, 777-779 (1982). MSC: 41A65 41A52 46E15 54C60 41A50 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Sov. Math., Dokl. 26, 402--404 (1982; Zbl 0524.41019); translation from Dokl. Akad. Nauk SSSR 266, 777--779 (1982)
Berdyshev, V. I. The stability of the solution of an approximation problem. (Russian) Zbl 0535.65032 Approximation and interpolation methods, Mater. IV. All-Union Conf., Novosibirsk 1981, 14-18 (1981). Reviewer: D.Sanikidze MSC: 65J05 41A65 41A50 PDFBibTeX XML
Berdyshev, V. I. Variation of the norms in the problem of best approximation. (English) Zbl 0506.41027 Math. Notes 29, 95-103 (1981). MSC: 41A50 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Math. Notes 29, 95--103 (1981; Zbl 0506.41027) Full Text: DOI
Berdyshev, V. I. Stability with respect to the norm of elements of best approximation. (English) Zbl 0484.41035 Approximation and function spaces, Proc. int. Conf., Gdansk 1979, 122-134 (1981). MSC: 41A50 PDFBibTeX XML
Berdyshev, V. I. Variation of the norm in a problem on best approximation. (Russian) Zbl 0459.41016 Mat. Zametki 29, 181-196 (1981). MSC: 41A50 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Mat. Zametki 29, 181--196 (1981; Zbl 0459.41016)
Berdyshev, V. I. On the uniform continuity of metric projection. (English) Zbl 0428.41026 Approximation theory, Warszawa 1975, Banach Cent. Publ. 4, 35-41 (1979). MSC: 41A65 41A50 PDFBibTeX XML Full Text: EuDML Link
Berdysev, V. I. Operator of best approximation on finite-dimensional subspaces. (English) Zbl 0309.41020 Math. Notes 16(1974), 888-893 (1975). MSC: 41A50 41A35 PDFBibTeX XMLCite \textit{V. I. Berdysev}, Math. Notes 16, 888--893 (1975; Zbl 0309.41020) Full Text: DOI
Berdyshev, V. I. On the uniform continuity of the operator of best approximation. (English) Zbl 0308.41020 Approx. Theor., Proc. Conf. Poznan 1972, 21-32 (1975). MSC: 41A50 PDFBibTeX XML
Berdysev, V. I. On the modules of continuity of an operator of best approximation. (English. Russian original) Zbl 0325.41026 Math. Notes 15, 478-484 (1974); translation from Mat. Zametki 15, 797-808 (1974). MSC: 41A65 46B99 41A50 26A15 PDFBibTeX XMLCite \textit{V. I. Berdysev}, Math. Notes 15, 478--484 (1974; Zbl 0325.41026); translation from Mat. Zametki 15, 797--808 (1974) Full Text: DOI
Berdysev, V. I. Der Operator der besten Approximation auf endlichdimensionalen Unterräumen. (Russian) Zbl 0305.41016 Mat. Zametki 16, 501-511 (1974). MSC: 41A50 41A35 PDFBibTeX XMLCite \textit{V. I. Berdysev}, Mat. Zametki 16, 501--511 (1974; Zbl 0305.41016)
Berdyshev, V. I. Best approximations in \(L_{[0,\infty)}\) of the differentiation operator. (English) Zbl 0227.41008 Math. Notes 9, 275-277 (1971). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Math. Notes 9, 275--277 (1971; Zbl 0227.41008) Full Text: DOI
Berdyshev, V. I. Die beste Approximation eines Differentiationsoperators in \(L_{[0,\infty)}\). (Russian) Zbl 0216.13701 Mat. Zametki 9, 477-481 (1971). MSC: 41A50 41A65 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Mat. Zametki 9, 477--481 (1971; Zbl 0216.13701)
Berdyshev, V. I. Influence of geometric properties of space on the convergence of Cauchy’s method in the best-approximation problem. (English. Russian original) Zbl 0208.14602 Math. Notes 8(1970), 657-662 (1971); translation from Mat. Zametki 8, 329-338 (1970). MSC: 46B20 41A50 41A65 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Math. Notes 8, 657--662 (1971; Zbl 0208.14602); translation from Mat. Zametki 8, 329--338 (1970) Full Text: DOI
Berdyshev, V. I. Über einen Satz von Jackson in \(L_p\). (Russian) Zbl 0162.36201 Tr. Mat. Inst. Steklova 88, 3-16 (1967). MSC: 42A10 41A50 41A65 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Tr. Mat. Inst. Steklova 88, 3--16 (1967; Zbl 0162.36201)