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Publications in Math-Net.Ru |
Citations |
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2016 |
| 1. |
V. P. Motornyi, “On the Nikol'skii and Potapov classes of functions”, Trudy Mat. Inst. Steklova, 293 (2016), 224–235    ; Proc. Steklov Inst. Math., 293 (2016), 216–227   |
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2005 |
| 2. |
V. P. Motornyi, O. V. Motornaya, “One-Sided Approximation of Truncated Powers by Algebraic Polynomials in the Mean”, Trudy Mat. Inst. Steklova, 248 (2005), 185–193  ; Proc. Steklov Inst. Math., 248 (2005), 179–186 |
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2001 |
| 3. |
V. P. Motornyi, “Approximation of a Class of Singular Integrals by Algebraic Polynomials with Regard to the Location of a Point on an Interval”, Trudy Mat. Inst. Steklova, 232 (2001), 268–285 ; Proc. Steklov Inst. Math., 232 (2001), 260–277 |
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1999 |
| 4. |
V. P. Motornyi, O. V. Motornaya, “On the best $L_1$-approximation by algebraic polynomials to truncated powers and to classes of functions with $L_1$-bounded derivative”, Izv. RAN. Ser. Mat., 63:3 (1999), 147–168 ; Izv. Math., 63:3 (1999), 561–582 |
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1995 |
| 5. |
V. P. Motornyi, O. V. Motornaya, “On the asymptotic behavior of best approximations of classes of
differentiable functions by algebraic polynomials in the mean”, Dokl. Akad. Nauk, 345:3 (1995), 306–307 |
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| 6. |
V. P. Motornyi, O. V. Motornaya, “Best average approximation of the classes of differentiable functions by algebraic polynomials”, Trudy Mat. Inst. Steklov., 210 (1995), 171–188 ; Proc. Steklov Inst. Math., 210 (1995), 127–140 |
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1987 |
| 7. |
V. P. Motornyi, E. E. Dunaichuk, “On formulas for the approximate computation of integrals”, Trudy Mat. Inst. Steklov., 180 (1987), 161–163 ; Proc. Steklov Inst. Math., 180 (1989), 189–191 |
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1981 |
| 8. |
V. P. Motornyi, “Approximation in the mean of functions by Fourier–Legendre sums”, Dokl. Akad. Nauk SSSR, 259:1 (1981), 39–42 |
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1976 |
| 9. |
V. P. Motornyi, “Some extremal problems of theory of quadrature and approximation of functions”, Mat. Zametki, 19:2 (1976), 299–311 ; Math. Notes, 19:2 (1976), 176–183 |
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1975 |
| 10. |
V. P. Motornyi, V. I. Ruban, “Diameters of some classes of differentiable periodic functions in the space $L$”, Mat. Zametki, 17:4 (1975), 531–543 ; Math. Notes, 17:4 (1974), 313–320 |
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1974 |
| 11. |
V. P. Motornyi, “On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of differentiable periodic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974), 583–614 ; Math. USSR-Izv., 8:3 (1974), 591–620 |
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| 12. |
V. P. Motornyi, “Approximation of periodic functions by trigonometric polynomials in the mean”, Mat. Zametki, 16:1 (1974), 15–26 ; Math. Notes, 16:1 (1974), 592–599 |
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1973 |
| 13. |
V. P. Motornyi, “On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of periodic differentiable functions”, Dokl. Akad. Nauk SSSR, 211:5 (1973), 1060–1062 |
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| 14. |
V. P. Motornyi, “On the mean convergence of Fourier series in Legendre polynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973), 135–147 ; Math. USSR-Izv., 7:1 (1973), 131–144 |
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1972 |
| 15. |
V. P. Motornyi, “On mean convergence of Fourier series in Legendre polynomials”, Dokl. Akad. Nauk SSSR, 204:4 (1972), 788–790 |
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1971 |
| 16. |
V. P. Motornyi, “Approximation of functions by algebraic polynomials in the $L_p$ metric”, Izv. Akad. Nauk SSSR Ser. Mat., 35:4 (1971), 874–899 ; Math. USSR-Izv., 5:4 (1971), 889–914 |
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1967 |
| 17. |
V. P. Motornyi, “Certain questions of the approximation of functions by algebraic polynomials with respect to an integral metric”, Dokl. Akad. Nauk SSSR, 172:3 (1967), 537–540 |
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1964 |
| 18. |
V. P. Motornyi, “An inequality for the moduli of smoothness of a periodic function with bounded derivative”, Dokl. Akad. Nauk SSSR, 154:1 (1964), 45–47 |
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1963 |
| 19. |
V. P. Motornyi, “On the best approximation of functions of two variables of the form $\varphi(x)+\psi(y)$”, Izv. Akad. Nauk SSSR Ser. Mat., 27:6 (1963), 1211–1214 |
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1990 |
| 20. |
V. L. Velikin, V. P. Motornyi, N. A. Nazarenko, S. M. Nikol'skii, S. V. Pereverzev, V. I. Ruban, “Nikolai Pavlovich Korneichuk (on his seventieth birthday)”, Uspekhi Mat. Nauk, 45:3(273) (1990), 207–209 ; Russian Math. Surveys, 45:3 (1990), 241–243 |
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1981 |
| 21. |
V. L. Velikin, A. A. Zhensykbaev, V. P. Motornyi, S. M. Nikol'skii, V. I. Ruban, “Nikolai Pavlovich Korneichuk (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 36:2(218) (1981), 209–213 ; Russian Math. Surveys, 36:2 (1981), 199–204 |
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