All Stories

  1. Bernstein-type characterization of entire functions

    Article • Reports of the National Academy of Sciences of Ukraine, March 2023, National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)

    Prof. Juergen Prestin

  2. Multiparameter discrete transforms based on discrete orthogonal polynomials and their application to image watermarking

    Article • Signal Processing Image Communication, November 2021, Elsevier

    Prof. Juergen Prestin

  3. A directional uncertainty principle for periodic functions

    Article • Multidimensional Systems and Signal Processing, August 2018, Springer Science + Business Media

    Prof. Juergen Prestin

  4. Investigating the Orthogonality Conditions of Wavelets Based on Jacobi Polynomials

    Article • Cybernetics and Systems Analysis, July 2018, Springer Science + Business Media

    Prof. Juergen Prestin

  5. On Lp-error of bivariate polynomial interpolation on the square

    Article • May 2018, Elsevier

    Prof. Juergen Prestin

  6. Direct and Inverse Theorems on the Approximation by Taylor–Abel–Poisson Operators

    Article • Ukrainian Mathematical Journal, October 2017, Springer Science + Business Media

    Prof. Juergen Prestin

  7. Smoothing of weights in the Bernstein approximation problem

    Article • Proceedings of the American Mathematical Society, August 2017, American Mathematical Society (AMS)

    Prof. Juergen Prestin

  8. Recovery of periodicities hidden in heavy-tailed noise

    Article • Mathematische Nachrichten, July 2017, Wiley

    Prof. Juergen Prestin

  9. On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions

    Article • Journal of Approximation Theory, July 2017, Elsevier

    Prof. Juergen Prestin

  10. Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions

    Article • January 2017, Springer Science + Business Media

    Prof. Juergen Prestin

  11. On approximation of functions by algebraic polynomials in Hölder spaces

    Article • Mathematische Nachrichten, May 2016, Wiley

    Prof. Juergen Prestin

  12. Comparison of mathematical models for the dynamics of the Chernivtsi children disease

    Article • Mathematics and Computers in Simulation, May 2016, Elsevier

    Prof. Juergen Prestin

  13. Die 57. Internationale Mathematik-Olympiade in Hongkong

    Article • Mitteilungen der Deutschen Mathematiker-Vereinigung, January 2016, De Gruyter

    Prof. Juergen Prestin

  14. Sharp estimates of approximation of periodic functions in Hölder spaces

    Article • Journal of Approximation Theory, December 2015, Elsevier

    Prof. Juergen Prestin

  15. Two ideals connected with strong right upper porosity at a point

    Article • Czechoslovak Mathematical Journal, September 2015, Springer Science + Business Media

    Prof. Juergen Prestin

  16. On two-dimensional classical and Hermite sampling

    Article • IMA Journal of Numerical Analysis, May 2015, Oxford University Press (OUP)

    Prof. Juergen Prestin

  17. A Modification of Hermite Sampling with a Gaussian Multiplier

    Article • Numerical Functional Analysis and Optimization, February 2015, Taylor & Francis

    Prof. Juergen Prestin

  18. Bericht über die 56. IMO in Chiang Mai, Thailand

    Article • Mitteilungen der Deutschen Mathematiker-Vereinigung, January 2015, De Gruyter

    Prof. Juergen Prestin

  19. Multivariate Periodic Wavelets of de la Vallée Poussin Type

    Article • Journal of Fourier Analysis and Applications, November 2014, Springer Science + Business Media

    Prof. Juergen Prestin

  20. Local numerical integration on the sphere

    Article • GEM - International Journal on Geomathematics, September 2014, Springer Science + Business Media

    Prof. Juergen Prestin

  21. Periodic wavelet frames and time–frequency localization

    Article • Applied and Computational Harmonic Analysis, September 2014, Elsevier

    Dr Elena A. Lebedeva, Prof. Juergen Prestin

  22. Multivariate Anisotropic Interpolation on the Torus

    Article • January 2014, Springer Science + Business Media

    Prof. Juergen Prestin

  23. Polynomial Schauder basis of optimal degree with Jacobi orthogonality

    Article • Journal of Approximation Theory, October 2013, Elsevier

    Prof. Juergen Prestin

  24. A new estimate for Hölder approximation by Bernstein operators

    Article • Applied Mathematics Letters, January 2013, Elsevier

    Prof. Juergen Prestin

  25. Simultaneous approximation by Bernstein operators in Hölder norms

    Article • Mathematische Nachrichten, November 2012, Wiley

    Prof. Juergen Prestin

  26. Quadrature formulas on spherical triangles

    Article • GEM - International Journal on Geomathematics, March 2012, Springer Science + Business Media

    Prof. Juergen Prestin

  27. Parameter estimation in exponential sums

    Article • Constructive Approximation, September 2011, Springer Science + Business Media

    Prof. Juergen Prestin

  28. Fast Summation of Functions on the Rotation Group

    Article • Mathematical Geosciences, June 2010, Springer Science + Business Media

    Prof. Juergen Prestin

  29. Multivariate periodic wavelet analysis

    Article • Applied and Computational Harmonic Analysis, January 2010, Elsevier

    Prof. Juergen Prestin

  30. $L^p$ Bernstein estimates and approximation by spherical basis functions

    Article • Mathematics of Computation, December 2009, American Mathematical Society (AMS)

    Prof. Juergen Prestin

  31. On a filter for exponentially localized kernels based on Jacobi polynomials

    Article • Journal of Approximation Theory, September 2009, Elsevier

    Prof. Juergen Prestin

  32. A fast algorithm for nonequispaced Fourier transforms on the rotation group

    Article • Numerical Algorithms, March 2009, Springer Science + Business Media

    Prof. Juergen Prestin

  33. Iterative Off-Resonance and Signal Decay Estimation and Correction for Multi-Echo MRI

    Article • IEEE Transactions on Medical Imaging, March 2009, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Juergen Prestin

  34. Polynomial operators for spectral approximation of piecewise analytic functions

    Article • Applied and Computational Harmonic Analysis, January 2009, Elsevier

    Prof. Juergen Prestin

  35. The Radon transform on SO(3): a Fourier slice theorem and numerical inversion

    Article • Inverse Problems, February 2008, Institute of Physics Publishing

    Prof. Juergen Prestin

  36. Orientation density function-controlled pole probability density function measurements: automated adaptive control of texture goniometers

    Article • Journal of Applied Crystallography, May 2007, International Union of Crystallography

    Prof. Juergen Prestin

  37. Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis

    Article • Journal of Computational and Applied Mathematics, February 2007, Elsevier

    Prof. Juergen Prestin

  38. On some cubature formulas on the sphere

    Article • Journal of Approximation Theory, September 2006, Elsevier

    Prof. Juergen Prestin

  39. ASYMPTOTIC FORMULAS FOR THE FRAME COEFFICIENTS GENERATED BY LAGUERRE AND HERMITE TYPE POLYNOMIALS

    Article • International Journal of Wavelets Multiresolution and Information Processing, September 2006, World Scientific Pub Co Pte Lt

    Prof. Juergen Prestin

  40. A Fast Algorithm for Spherical Basis Approximation

    Article • July 2006, Taylor & Francis

    Prof. Juergen Prestin

  41. High Resolution Texture Analysis with Spherical Wavelets

    Article • September 2005, CrossRef Test Account

    Prof. Juergen Prestin

  42. PDF-to-ODF Inversion by Approximation with Spherical Radial Basis Functions

    Article • September 2005, CrossRef Test Account

    Prof. Juergen Prestin

  43. Interpolatory Band-Limited Wavelet Bases on the Sphere

    Article • Constructive Approximation, June 2005, Springer Science + Business Media

    Prof. Juergen Prestin

  44. On Local Smoothness Classes of Periodic Functions

    Article • Journal of Fourier Analysis and Applications, April 2005, Springer Science + Business Media

    Prof. Juergen Prestin

  45. High Resolution Texture Analysis with Spherical Wavelets

    Article • Materials Science Forum, January 2005, Trans Tech Publications

    Prof. Juergen Prestin

  46. PDF-to-ODF Inversion by Approximation with Spherical Radial Basis Functions

    Article • Materials Science Forum, January 2005, Trans Tech Publications

    Prof. Juergen Prestin

  47. Uncertainty Principles on the Circle and on the Real Line

    Article • Journal of Fourier Analysis and Applications, July 2003, Springer Science + Business Media

    Prof. Juergen Prestin

  48. Multiresolution on the Sphere

    Article • January 2002, Springer Science + Business Media

    Prof. Juergen Prestin

  49. On a constructive representation of an orthogonal trigonometric Schauder basis for C 2π

    Article • January 2001, Springer Science + Business Media

    Prof. Juergen Prestin

  50. Periodic uncertainty principle

    Article • Proceedings of the Edinburgh Mathematical Society, June 1999, Cambridge University Press

    Prof. Juergen Prestin

  51. On a Sequence of Fast Decreasing Polynomial Operators

    Article • January 1999, Springer Science + Business Media

    Prof. Juergen Prestin

  52. Bounded Quasi-Interpolatory Polynomial Operators

    Article • Journal of Approximation Theory, January 1999, Elsevier

    Prof. Juergen Prestin

  53. Interpolatory and Orthonormal Trigonometric Wavelets

    Article • January 1998, Elsevier

    Prof. Juergen Prestin

  54. Wavelets based on orthogonal polynomials

    Article • Mathematics of Computation, October 1997, American Mathematical Society (AMS)

    Prof. Juergen Prestin

  55. Multivariate Cosine Wavelets

    Article • January 1997, Springer Science + Business Media

    Prof. Juergen Prestin

  56. Polynomial wavelets on the interval

    Article • Constructive Approximation, March 1996, Springer Science + Business Media

    Prof. Juergen Prestin

  57. Polynomial Wavelets on the Interval

    Article • Constructive Approximation, January 1996, Springer Science + Business Media

    Prof. Juergen Prestin

  58. Orthogonal Algebraic Polynomial Schauder Bases of Optimal Degree

    Article • Journal of Fourier Analysis and Applications, December 1995, Springer Science + Business Media

    Prof. Juergen Prestin

  59. Trigonometric interpolation and wavelet decompositions

    Article • Numerical Algorithms, September 1995, Springer Science + Business Media

    Prof. Juergen Prestin

  60. Multivariate trigonometric wavelet decompositions

    Article • Computers & Mathematics with Applications, September 1995, Elsevier

    Prof. Juergen Prestin

  61. Convergence Rate for Trigonometric Interpolation of Non-smooth Functions

    Article • Journal of Approximation Theory, May 1994, Elsevier

    Prof. Juergen Prestin

  62. A theorem of gopengauz type with added interpolatory conditions

    Article • Numerical Functional Analysis and Optimization, January 1994, Taylor & Francis

    Prof. Juergen Prestin

  63. Lagrange interpolation on extended generalized Jacobi nodes

    Article • Numerical Algorithms, March 1993, Springer Science + Business Media

    Prof. Juergen Prestin

  64. Lagrange interpolation for functions of bounded variation

    Article • Acta Mathematica Hungarica, March 1993, Springer Science + Business Media

    Prof. Juergen Prestin

  65. Periodic Spline Interpolation of Functions of Bounded Variation

    Article • January 1991, Elsevier

    Prof. Juergen Prestin

  66. Simultaneous approximation by Lagrange-Hermite Interpolation

    Article • Mathematische Nachrichten, January 1991, Wiley

    Prof. Juergen Prestin

  67. Error Estimates in Generalized Trigonometric Hölder-Zygmund Norms

    Article • Zeitschrift für Analysis und ihre Anwendungen, January 1990, European Mathematical Publishing House

    Prof. Juergen Prestin

  68. Trigonometric interpolation for bivariate functions of bounded variation

    Article • Banach Center Publications, January 1989, Institute of Mathematics, Polish Academy of Sciences

    Prof. Juergen Prestin

  69. Trigonometric interpolation in Hölder spaces

    Article • Journal of Approximation Theory, May 1988, Elsevier

    Prof. Juergen Prestin

  70. On the approximation by de la Vallée Poussin sums and interpolatory polynomials in Lipschitz norms

    Article • Analysis Mathematica, September 1987, Springer Science + Business Media

    Prof. Juergen Prestin

  71. Trigonometric interpolation of functions of bounded variation

    Article • Mathematische Nachrichten, January 1985, Wiley

    Prof. Juergen Prestin

  72. Periodic and Spline Multiresolution Analysis and the Lifting Scheme

    Article • Springer Science + Business Media

    Prof. Juergen Prestin