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Vinogradov Oleg Leonidovich

Publications in Math-Net.Ru

  1. Average dimension of shift spaces and their subspaces

    Mat. Zametki, 116:5 (2024),  694–706
  2. Optimal subspaces for mean square approximation of classes of differentiable functions on the half-line

    Zap. Nauchn. Sem. POMI, 539 (2024),  44–65
  3. A boundedness criterion for averaging operators in variable exponent spaces of periodic functions

    Zap. Nauchn. Sem. POMI, 537 (2024),  40–63
  4. Direct and inverse theorems of approximation theory in Banach function spaces

    Algebra i Analiz, 35:6 (2023),  14–44
  5. Sharp Bernstein-type inequalities for Fourier-Dunkl multipliers

    Mat. Sb., 214:1 (2023),  3–30
  6. Direct and inverse theorems of approximation theory in Lebesgue spaces with Muckenhoupt weights

    Ufimsk. Mat. Zh., 15:4 (2023),  42–60
  7. On constants in abstract inverse theorems of approximation theory

    Algebra i Analiz, 34:4 (2022),  22–46
  8. Sharp Bernstein Inequalities for Jacobi–Dunkl Operators

    Mat. Zametki, 112:5 (2022),  770–783
  9. On the constants in the inverse theorems for the norms of derivatives

    Sibirsk. Mat. Zh., 63:3 (2022),  531–544
  10. On the constants in the inverse theorems for the first derivative

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:4 (2021),  559–571
  11. Logarithmically absolutely monotone trigonometric functions

    Zap. Nauchn. Sem. POMI, 503 (2021),  57–71
  12. Non-saturated estimates of the Kotelnikov formula error

    Zap. Nauchn. Sem. POMI, 499 (2021),  22–37
  13. Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts

    Algebra i Analiz, 32:2 (2020),  45–84
  14. Optimal subspaces for mean square approximation of classes of differentiable functions on a segment

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020),  404–417
  15. Sharp jackson - Chernykh type inequality for spline approximations on the line

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:1 (2020),  15–27
  16. On the rate of decay of a Meyer scaling function

    Zap. Nauchn. Sem. POMI, 491 (2020),  52–65
  17. An exact inequality of Jackson–Chernykh type for spline approximations of periodic functions

    Sibirsk. Mat. Zh., 60:3 (2019),  537–555
  18. Analogs of the Riesz identity, and sharp inequalities for derivatives and differences of splines in the integral metric

    Zap. Nauchn. Sem. POMI, 480 (2019),  86–102
  19. Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts

    Algebra i Analiz, 30:5 (2018),  112–148
  20. Entire functions with the least deviation from zero in generalized Orlicz classes

    Algebra i Analiz, 30:2 (2018),  97–113
  21. Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions

    Sibirsk. Mat. Zh., 58:2 (2017),  251–269
  22. Sharp estimates of linear approximations by nonperiodic splines in terms of linear combinations of moduli of continuity

    Zap. Nauchn. Sem. POMI, 456 (2017),  55–76
  23. On the Constant and Step in Jackson's Inequality for Best Approximations by Trigonometric Polynomials and by Haar Polynomials

    Mat. Zametki, 100:3 (2016),  323–330
  24. A nonperiodic analogue of the Akhiezer–Krein–Favard operators

    Zap. Nauchn. Sem. POMI, 440 (2015),  8–35
  25. Sharp Bernstein type inequalities for splines in the mean square metrics

    Zap. Nauchn. Sem. POMI, 434 (2015),  82–90
  26. Entire functions with the least deviation from zero in the uniform and the integral metrics with a weight

    Algebra i Analiz, 26:6 (2014),  10–28
  27. Sharp Estimates of Integrals in Terms of the Second Modulus of Continuity

    Mat. Zametki, 96:4 (2014),  483–495
  28. Approximation estimates for convolution classes in terms of the second modulus of continuity

    Sibirsk. Mat. Zh., 55:3 (2014),  494–508
  29. Estimates for functionals with a known finite set of moments in terms of high order moduli of continuity in the spaces of functions defined on the segment

    Algebra i Analiz, 25:3 (2013),  86–120
  30. Estimates of functionals by the second moduli of continuity of even derivatives

    Zap. Nauchn. Sem. POMI, 416 (2013),  70–90
  31. Estimates for functional with a known finite set of moments in terms of moduli of continuity and behaviour of constants in the Jackson-type inequalities

    Algebra i Analiz, 24:5 (2012),  1–43
  32. Sharp estimates of best approximations in terms of holomorphic functions of Weierstrass-type operators

    Zap. Nauchn. Sem. POMI, 404 (2012),  18–60
  33. Sharp estimates of best approximations by deviations of Weierstrass-type integrals

    Zap. Nauchn. Sem. POMI, 401 (2012),  53–70
  34. 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

    Zap. Nauchn. Sem. POMI, 392 (2011),  32–66
  35. On the norms of generalized translation operators generated by Dunkl-type operators

    Zap. Nauchn. Sem. POMI, 392 (2011),  5–31
  36. On the norms of generalized translation operators generated by Jacobi–Dunkl operators

    Zap. Nauchn. Sem. POMI, 389 (2011),  34–57
  37. The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity

    Zap. Nauchn. Sem. POMI, 383 (2010),  33–52
  38. Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means

    Zap. Nauchn. Sem. POMI, 383 (2010),  5–32
  39. Sharp Inequalities for Approximations of Classes of Periodic Convolutions by Odd-Dimensional Subspaces of Shifts

    Mat. Zametki, 85:4 (2009),  569–584
  40. Sharp error estimates for the numerical differentiation formulas on the classes of entire functions of exponential type

    Sibirsk. Mat. Zh., 48:3 (2007),  538–555
  41. Sharp Jackson type inequalities for approximation of classes of convolutions by entire functions of finite degree

    Algebra i Analiz, 17:4 (2005),  59–114
  42. Sharp Kolmogorov-type inequalities for moduli of continuity and best approximations by trigonometric polynomials and splines

    Zap. Nauchn. Sem. POMI, 290 (2002),  5–26
  43. On the upper bounds of Lebesgue constants for Forier–Jacobi series summation methods

    Zap. Nauchn. Sem. POMI, 282 (2001),  34–50
  44. The limit of the Lebesgue constants of summation methods of Fourier–Legendre series determined by a multiplier function

    Zap. Nauchn. Sem. POMI, 262 (1999),  71–89
  45. The sharp constant in Jackson-type inequality for approximation by linear positive operators

    Zap. Nauchn. Sem. POMI, 255 (1998),  36–53
  46. The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity in the space of continuous periodic functions

    Zap. Nauchn. Sem. POMI, 247 (1997),  26–45
  47. Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment

    Zap. Nauchn. Sem. POMI, 232 (1996),  33–49
  48. Parseval-type inequalities and some of their applications

    Dokl. Akad. Nauk, 341:6 (1995),  737–739

  49. Garal'd Isidorovich Natanson (obituary)

    Uspekhi Mat. Nauk, 59:4(358) (2004),  181–185

© Steklov Math. Inst. of RAS, 2025