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Publications in Math-Net.Ru |
Citations |
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2014 |
1. |
V. F. Babenko, N. V. Parfinovich, S. A. Pichugov, “Kolmogorov-Type Inequalities for Norms of Riesz Derivatives of Functions of Several Variables with Laplacian Bounded in $L_\infty$ and Related Problems”, Mat. Zametki, 95:1 (2014), 3–17 ; Math. Notes, 95:1 (2014), 3–14 |
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2011 |
2. |
V. F. Babenko, N. V. Parfinovich, “Kolmogorov-type inequalities for the norms of Riesz derivatives of multivariable functions and some applications”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011), 60–70 ; Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 9–20 |
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2010 |
3. |
V. F. Babenko, N. V. Parfinovich, “On the Exact Values of the Best Approximations of Classes of Differentiable Periodic Functions by Splines”, Mat. Zametki, 87:5 (2010), 669–683 ; Math. Notes, 87:5 (2010), 623–635 |
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4. |
V. F. Babenko, S. A. Pichugov, “Sharp Estimates of the Norms of Fractional Derivatives of Functions of Several Variables Satisfying Hölder Conditions”, Mat. Zametki, 87:1 (2010), 26–34 ; Math. Notes, 87:1 (2010), 23–30 |
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2009 |
5. |
V. F. Babenko, N. V. Parfinovich, “Exact Values of Best Approximations for Classes of Periodic Functions by Splines of Deficiency 2”, Mat. Zametki, 85:4 (2009), 538–551 ; Math. Notes, 85:4 (2009), 515–527 |
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1999 |
6. |
V. F. Babenko, V. A. Kofanov, S. A. Pichugov, “On inequalities of Landau–Kolmogorov–Hörmander type on the semi-axis”, Mat. Zametki, 65:2 (1999), 175–185 ; Math. Notes, 65:2 (1999), 144–152 |
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1998 |
7. |
V. F. Babenko, V. A. Kofanov, S. A. Pichugov, “Additive inequalities for intermediate derivatives of differentiable mappings of Banach spaces”, Mat. Zametki, 63:3 (1998), 332–342 ; Math. Notes, 63:3 (1998), 293–301 |
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1995 |
8. |
V. F. Babenko, O. V. Polyakov, “Приближения в среднем некоторых классов непрерывных периодических функций”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 2, 13–21 ; Russian Math. (Iz. VUZ), 39:2 (1995), 10–18 |
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1992 |
9. |
V. F. Babenko, “The best $L_1$-approximations by splines in the presence of restrictions on their derivatives”, Mat. Zametki, 51:5 (1992), 12–19 ; Math. Notes, 51:5 (1992), 432–437 |
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1991 |
10. |
V. F. Babenko, “On best uniform approximations by splines in the presence of restrictions on their derivatives”, Mat. Zametki, 50:6 (1991), 24–30 ; Math. Notes, 50:6 (1991), 1227–1232 |
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11. |
V. F. Babenko, V. V. Shalaev, “Best approximation estimates resulting from the Chebyshev criterion”, Mat. Zametki, 49:4 (1991), 148–150 ; Math. Notes, 49:4 (1991), 431–433 |
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1988 |
12. |
V. F. Babenko, “Approximation of classes of functions defined by means of the
modulus of continuity”, Dokl. Akad. Nauk SSSR, 298:6 (1988), 1296–1299 ; Dokl. Math., 37:1 (1988), 239–241 |
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1987 |
13. |
V. F. Babenko, “Approximation of convolution classes”, Sibirsk. Mat. Zh., 28:5 (1987), 6–21 ; Siberian Math. J., 28:5 (1987), 697–709 |
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14. |
V. F. Babenko, S. A. Pichugov, “On inequalities for polynomials with real roots”, Trudy Mat. Inst. Steklov., 180 (1987), 35–36 ; Proc. Steklov Inst. Math., 180 (1989), 37–39 |
15. |
V. F. Babenko, “Nonsymetric approximations and inequalities for rearrangements in extremal problems of approximation theory”, Trudy Mat. Inst. Steklov., 180 (1987), 33–35 ; Proc. Steklov Inst. Math., 180 (1989), 35–37 |
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1986 |
16. |
V. F. Babenko, “Extremal problems in approximation theory and inequalities for
rearrangements”, Dokl. Akad. Nauk SSSR, 290:5 (1986), 1033–1036 |
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17. |
V. F. Babenko, S. A. Pichugov, “An exact inequality for the derivative of a trigonometric polynomial having only real zeros”, Mat. Zametki, 39:3 (1986), 330–336 ; Math. Notes, 39:3 (1986), 179–182 |
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1985 |
18. |
V. F. Babenko, V. A. Kofanov, “Polynomials of fixed sign that deviate least from zero in the spaces $L_p$”, Mat. Zametki, 37:2 (1985), 176–185 ; Math. Notes, 37:2 (1985), 99–105 |
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1983 |
19. |
V. F. Babenko, “Inequalities for rearrangements of differentiable periodic
functions, and problems of approximation and approximate integration”, Dokl. Akad. Nauk SSSR, 272:5 (1983), 1038–1041 |
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20. |
V. F. Babenko, “Nonsymmetric extremal problems in approximation theory”, Dokl. Akad. Nauk SSSR, 269:3 (1983), 521–524 |
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1980 |
21. |
V. F. Babenko, S. A. Pichugov, “Best linear approximation of some classes of differentiable periodic functions”, Mat. Zametki, 27:5 (1980), 683–689 ; Math. Notes, 27:5 (1980), 325–329 |
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1978 |
22. |
V. F. Babenko, “Interpolation of continuous maps by piecewise-linear maps”, Mat. Zametki, 24:1 (1978), 43–52 ; Math. Notes, 24:1 (1978), 526–532 |
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1976 |
23. |
V. F. Babenko, “Faithful asymptotics of remainders optimal for some glasses of functions with cubic weight formulas”, Mat. Zametki, 20:4 (1976), 589–595 ; Math. Notes, 20:4 (1976), 887–890 |
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24. |
V. F. Babenko, A. A. Ligun, “The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric”, Mat. Zametki, 19:3 (1976), 323–329 ; Math. Notes, 19:3 (1976), 194–198 |
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25. |
V. F. Babenko, “Asymptotically sharp bounds for the remainder for the best quadrature formulas for several classes of functions”, Mat. Zametki, 19:3 (1976), 313–322 ; Math. Notes, 19:3 (1976), 187–193 |
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1975 |
26. |
V. F. Babenko, A. A. Ligun, “Interpolation by polyhedral functions”, Mat. Zametki, 18:6 (1975), 803–814 ; Math. Notes, 18:6 (1975), 1068–1074 |
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