Babenko, V. F.; Parfinovich, N. V.; Pichugov, S. A. Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in \(L_\infty\) and related problems. (English. Russian original) Zbl 1314.41006 Math. Notes 95, No. 1, 3-14 (2014); translation from Mat. Zametki 95, No. 1, 3-17 (2014). MSC: 41A17 PDFBibTeX XMLCite \textit{V. F. Babenko} et al., Math. Notes 95, No. 1, 3--14 (2014; Zbl 1314.41006); translation from Mat. Zametki 95, No. 1, 3--17 (2014) Full Text: DOI
Babenko, V. F.; Parfinovich, N. V. On the exact values of the best approximations of classes of differentiable periodic functions by splines. (English. Russian original) Zbl 1290.41022 Math. Notes 87, No. 5, 623-635 (2010); translation from Mat. Zametki 87, No. 5, 669-683 (2010). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A55 41A15 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{N. V. Parfinovich}, Math. Notes 87, No. 5, 623--635 (2010; Zbl 1290.41022); translation from Mat. Zametki 87, No. 5, 669--683 (2010) Full Text: DOI
Babenko, V. F.; Pichugov, S. A. Sharp estimates of the norms of fractional derivatives of functions of several variables satisfying Hölder conditions. (English. Russian original) Zbl 1205.26008 Math. Notes 87, No. 1, 23-30 (2010); translation from Mat. Zametki 87, No. 1, 26-34 (2010). Reviewer: Juan J. Trujillo (La Laguna) MSC: 26A33 26D10 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{S. A. Pichugov}, Math. Notes 87, No. 1, 23--30 (2010; Zbl 1205.26008); translation from Mat. Zametki 87, No. 1, 26--34 (2010) Full Text: DOI
Babenko, V. F.; Parfinovich, N. V. Exact values of best approximations for classes of periodic functions by splines of deficiency 2. (English. Russian original) Zbl 1204.41018 Math. Notes 85, No. 4, 515-527 (2009); translation from Mat. Zametki 85, No. 4, 538-551 (2009). Reviewer: Kai Diethelm (Braunschweig) MSC: 41A44 41A50 41A15 41A46 65D07 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{N. V. Parfinovich}, Math. Notes 85, No. 4, 515--527 (2009; Zbl 1204.41018); translation from Mat. Zametki 85, No. 4, 538--551 (2009) Full Text: DOI
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A. Landau-Kolmogorov-Hörmander inequalities on the semiaxis. (English. Russian original) Zbl 0961.41010 Math. Notes 65, No. 2, 144-152 (1999); translation from Mat. Zametki 65, No. 2, 175-185 (1999). Reviewer: Boris Rubin (Jerusalem) MSC: 41A17 26D10 PDFBibTeX XMLCite \textit{V. F. Babenko} et al., Math. Notes 65, No. 2, 144--152 (1999; Zbl 0961.41010); translation from Mat. Zametki 65, No. 2, 175--185 (1999) Full Text: DOI
Babenko, V. F.; Kofanov, V. A.; Pichugov, S. A. Additive inequalities for intermediate derivatives of differentiable mappings of Banach spaces. (English. Russian original) Zbl 0927.46025 Math. Notes 63, No. 3, 293-301 (1998); translation from Mat. Zametki 63, No. 3, 332-342 (1998). Reviewer: J.Appell (Würzburg) MSC: 46G05 46G25 47H60 PDFBibTeX XMLCite \textit{V. F. Babenko} et al., Math. Notes 63, No. 3, 293--301 (1998; Zbl 0927.46025); translation from Mat. Zametki 63, No. 3, 332--342 (1998) Full Text: DOI
Babenko, V. F. The best \(L_ 1\)-approximations by splines in the presence of restrictions on their derivatives. (English. Russian original) Zbl 0848.42004 Math. Notes 51, No. 5, 432-437 (1992); translation from Mat. Zametki 51, No. 5, 12-19 (1992). Reviewer: W.Łenski (Poznań) MSC: 42A10 41A15 41A50 PDFBibTeX XMLCite \textit{V. F. Babenko}, Math. Notes 51, No. 5, 1 (1992; Zbl 0848.42004); translation from Mat. Zametki 51, No. 5, 12--19 (1992) Full Text: DOI
Babenko, V. F. On best uniform approximation by splines in the presence of restrictions on their derivatives. (English. Russian original) Zbl 0798.41002 Math. Notes 50, No. 6, 1227-1232 (1991); translation from Mat. Zametki 50, No. 6, 24-30 (1991). Reviewer: J.Prestin (Rostock) MSC: 41A15 41A46 41A10 41A25 PDFBibTeX XMLCite \textit{V. F. Babenko}, Math. Notes 50, No. 6, 1227--1232 (1991; Zbl 0798.41002); translation from Mat. Zametki 50, No. 6, 24--30 (1991) Full Text: DOI
Babenko, V. F.; Shalaev, V. V. Best approximation estimates resulting from the Chebyshev criterion. (English. Russian original) Zbl 0753.42001 Math. Notes 49, No. 4, 431-433 (1991); translation from Mat. Zametki 49, No. 4, 148-150 (1991). MSC: 42A10 41A17 41A50 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{V. V. Shalaev}, Math. Notes 49, No. 4, 431--433 (1991; Zbl 0753.42001); translation from Mat. Zametki 49, No. 4, 148--150 (1991) Full Text: DOI
Babenko, V. F.; Pichugov, S. A. An exact inequality for the derivative of a trigonometric polynomial having only real zeros. (English. Russian original) Zbl 0616.42001 Math. Notes 39, 179-182 (1986); translation from Mat. Zametki 39, No. 3, 330-336 (1986). Reviewer: J.Jedrzejewski MSC: 42A05 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{S. A. Pichugov}, Math. Notes 39, 179--182 (1986; Zbl 0616.42001); translation from Mat. Zametki 39, No. 3, 330--336 (1986) Full Text: DOI
Babenko, V. F.; Kofanov, V. A. Polynomials of fixed sign that deviate least from zero in the spaces \(L_ p\). (English. Russian original) Zbl 0581.41009 Math. Notes 37, 99-105 (1985); translation from Mat. Zametki 37, No. 2, 176-185 (1985). Reviewer: L.A.Čantunja MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{V. A. Kofanov}, Math. Notes 37, 99--105 (1985; Zbl 0581.41009); translation from Mat. Zametki 37, No. 2, 176--185 (1985) Full Text: DOI
Babenko, V. F.; Pichugov, S. A. Best linear approximation of some classes of differentiable periodic functions. (English) Zbl 0471.41011 Math. Notes 27, 325-329 (1980). MSC: 41A25 41A30 42A10 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{S. A. Pichugov}, Math. Notes 27, 325--329 (1980; Zbl 0471.41011) Full Text: DOI
Babenko, V. F. Interpolation of continuous maps by piecewise-linear maps. (English) Zbl 0408.41002 Math. Notes 24, 526-532 (1979). MSC: 41A05 41A30 PDFBibTeX XMLCite \textit{V. F. Babenko}, Math. Notes 24, 526--532 (1979; Zbl 0408.41002) Full Text: DOI
Babenko, V. F. Faithful asymptotics of remainders optimal for some classes of functions with cubic weight formulas. (English) Zbl 0359.41009 Math. Notes 20(1976), 887-890 (1977). MSC: 41A55 PDFBibTeX XMLCite \textit{V. F. Babenko}, Math. Notes 20, 887--890 (1977; Zbl 0359.41009) Full Text: DOI
Babenko, V. F.; Ligun, A. A. The order of the best one-sided approximation by polynomials and splines in the \(L_p\)-metric. (English) Zbl 0348.41019 Math. Notes 19, 194-198 (1976). MSC: 41A25 41A15 41A65 41A10 41A50 42A10 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{A. A. Ligun}, Math. Notes 19, 194--198 (1976; Zbl 0348.41019) Full Text: DOI
Babenko, V. F. Asymptotically sharp bounds for the remainder for the best quadrature formulas for several classes of functions. (English. Russian original) Zbl 0333.41024 Math. Notes 19, 187-193 (1976); translation from Mat. Zametki 19, 313-322 (1976). MSC: 41A55 41A50 PDFBibTeX XMLCite \textit{V. F. Babenko}, Math. Notes 19, 187--193 (1976; Zbl 0333.41024); translation from Mat. Zametki 19, 313--322 (1976) Full Text: DOI
Babenko, V. F.; Ligun, A. A. Interpolation by polyhedral functions. (English) Zbl 0327.41033 Math. Notes 18(1975), 1068-1074 (1976). MSC: 41A65 41A05 41A30 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{A. A. Ligun}, Math. Notes 18, 1068--1074 (1976; Zbl 0327.41033) Full Text: DOI