Jürgen Prestin

Research output

Research Output per year 1985 2000 2005 2006 2007 2009 2010 2013 2014 2015 2016 2017 2018 2019 2020 2021 2021

• 70 Journal articles
• 4 Conference contribution
• 2 Chapter
• 1 Monographs
• 3 More
  • 1 Conference Papers
  • 1 Comments/Debates
  • 1 Letters

Research Output per year

Research Output per year

Search results

• 2021

  Approximation properties of periodic multivariate quasi-interpolation operators

  Kolomoitsev, Y. & Prestin, J., 10.2021, In: Journal of Approximation Theory. 270, 105631.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Interpolation Operator 100%
  • Approximation Property 100%
  • Wavelet 33%
  • Term 33%
  • Modulus of Smoothness 33%
  2 Citations (Scopus)

• Die schönsten Aufgaben der Mathematik-Olympiade in Deutschland: 300 ausgewählte Aufgaben und Lösungen der Olympiadeklassen 11 bis 13

  Felgenhauer, A., Gronau, H.-D., Labahn, R., Ludwicki, W., Moldenhauer, W., Prestin, J., Rüsing, M., Wegert, E. & Welk, M., 2021, Berlin, Heidelberg: Springer Spektrum. 643 p.

  Research output: Books/Anthologies/Proceedings/Theses › Monographs › Education › peer-review

• Edge detection with trigonometric polynomial shearlets

  Schober, K., Prestin, J. & Stasyuk, S. A., 02.2021, In: Advances in Computational Mathematics. 47, 1, 17.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Edge 100%
  • Trigonometric Polynomial 100%
  • Wavelet 33%
  • Characteristic Function 33%
  • Boundary Curve 33%

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

  Annaby, M. H., Ayad, H. A., Prestin, J. & Rushdi, M. A., 11.2021, In: Signal Processing: Image Communication. 99, 116434.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Transform 60%
  • Image Processing 20%
  • Spectral Decomposition 20%
• 2020

  Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions

  Asharabi, R. M. & Prestin, J., 2020, In: Numerical Algorithms.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Sample 33%
  • Variables 33%

• Approximation of gaussians by spherical gauss-laguerre basis in the weighted hilbert space

  Derevianko, N. & Prestin, J., 2020, In: Electronic Transactions on Numerical Analysis. 52, p. 249-269 21 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

• Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula

  Asharabi, R. M. & Prestin, J., 08.2020, In: Communications on Pure and Applied Analysis. 19, 8, p. 4143-4158 16 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Number 20%
  • Term 20%

• Prony-type polynomials and their common zeros

  Prestin, J. & Veselovska, H., 2020, In: Frontiers in Applied Mathematics and Statistics. 6, p. 1-21 21 p., 16.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Sample 42%
  • Number 28%
  • Univariate 14%
  • Open Question 14%
• 2019

  Approximation theorems for multivariate Taylor-Abel-Poisson means

  Prestin, J., Savchuk, V. & Shidlich, A., 2019, In: Studia Universitatis Babes-Bolyai Mathematica. 64, 3, p. 313-329 17 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Lp-Spaces 50%

• Correction to: Translation matrix elements for spherical Gauss–Laguerre basis functions (GEM - International Journal on Geomathematics, (2019), 10, 1, (6), 10.1007/s13137-019-0124-8)

  Prestin, J. & Wülker, C., 01.12.2019, In: GEM - International Journal on Geomathematics. 10, 1, 15.

  Research output: Journal Articles › Comments/Debates

  • Correction 100%
  • Document 100%

• Directional Heisenberg uncertainty product

  Krivoshein, A., Lebedeva, E., Neiman, E. & Prestin, J., 01.01.2019, In: Mathematical Inequalities and Applications. 22, 1, p. 377-399 23 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Measure 100%
  • Direction 50%
  • Euclidean Space 50%

• Directional Heisenberg uncertainty product

  Krivoshein, A. V., Lebedeva, E. A. & Prestin, J., 07.2019, Math. Inequal. Appl..

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Direction 100%

• Translation matrix elements for spherical Gauss–Laguerre basis functions

  Prestin, J. & Wülker, C., 01.12.2019, In: GEM - International Journal on Geomathematics. 10, 1, 6.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Gaussians 20%
  • Quantity 20%
  • Periphery 20%
  1 Citation (Scopus)
• 2018

  A directional uncertainty principle for periodic functions

  Krivoshein, A., Lebedeva, E. & Prestin, J., 01.01.2018, In: Multidimensional Systems and Signal Processing.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Measure 50%
  • Wavelet 50%
  • Direction 50%

• Investigating the Orthogonality Conditions of Wavelets Based on Jacobi Polynomials

  Semenov, V. & Prestin, J., 01.07.2018, In: Cybernetics and Systems Analysis. 54, 4, p. 678-686 9 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Wavelet 100%

• On L_p-error of bivariate polynomial interpolation on the square

  Kolomoitsev, Y., Lomako, T. & Prestin, J., 01.05.2018, In: Journal of Approximation Theory. 229, p. 13-35 23 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Points 25%

• Recovery of periodicities hidden in heavy-tailed noise

  Karabash, I. M. & Prestin, J., 01.01.2018, In: Mathematische Nachrichten. 291, 1, p. 86-102 17 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Number 100%
  • Selection 100%

• Smoothing of weights in the Bernstein approximation problem

  Bakan, A. & Prestin, J., 2018, In: Proceedings of the American Mathematical Society. 2018, 146 (2), p. 653-667

  Research output: Journal Articles › Journal articles › Research › peer-review
• 2017

  Approximation of 2π-periodic functions by Taylor—Abel—Poisson operators in the integral metric

  Prestin, J., Savchuk, V. & Shidlich, A., 01.02.2017, In: Reports of the National Academy of Sciences of Ukraine. p. 17-20 4 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

• Characterization of Local Besov Spaces via Wavelet Basis Expansions

  Derevianko, N., Myroniuk, V. & Prestin, J., 28.03.2017, In: Frontiers in Applied Mathematics and Statistics. 3, 14 p., 4.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Trigonometric Polynomial 20%
  1 Citation (Scopus)

• Direct and Inverse Theorems on the Approximation of 2π-Periodic Functions by Taylor–Abel–Poisson Operators

  Prestin, J., Savchuk, V. V. & Shidlich, A. L., 01.10.2017, In: Ukrainian Mathematical Journal. 69, 5, p. 766-781 16 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

• Fast fourier transforms for spherical gauss-laguerre basis functions

  Prestin, J. & Wülker, C., 01.01.2017, Applied and Numerical Harmonic Analysis. 9783319555492 ed. Springer International Publishing, p. 237-263 27 p. (Applied and Numerical Harmonic Analysis; no. 9783319555492).

  Research output: Chapters in Books/Reports/Conference Proceedings › Chapter › peer-review

  • Algorithms 75%
  • Future Development 25%
  • Number 25%
  • Variables 25%
  • Gaussians 14%

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

  Derevianko, N., Myroniuk, V. & Prestin, J., 01.01.2017, In: Journal of Approximation Theory.

  Research output: Journal Articles › Journal articles › Research › peer-review

• Smoothing of weights in the Bernstein approximation problem

  Bakan, A. & Prestin, J., 2017, In: Proceedings of the American Mathematical Society. 146, 2, p. 653-667 15 p.

  Research output: Journal Articles › Journal articles › Research › peer-review
• 2016

  Boundedness of Lebesgue Constants and Interpolating Faber Bases

  Bilet, V., Dovgoshey, O. & Prestin, J., 01.10.2016, In: Naukovì Vìstì Nacìonalʹnogo Tehnìčnogo Unìversitetu Ukraïni Kiïvsʹkij Polìtehnìčnij Institut. 2017, 4, p. 7 16 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

• Comparison of mathematical models for the dynamics of the Chernivtsi children disease

  Langemann, D., Nesteruk, I. & Prestin, J., 01.05.2016, In: Mathematics and Computers in Simulation. 123, p. 68-79 12 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Comparison 100%
  • Child 100%
  • Number 100%
  • Selection 100%
  • Error 25%

• On approximation of functions by algebraic polynomials in Hölder spaces

  Kolomoitsev, Y., Lomako, T. & Prestin, J., 01.11.2016, In: Mathematische Nachrichten. 289, 16, p. 2037-2057 21 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Approximation of Function 100%
  • Modulus of Smoothness 66%
  1 Citation (Scopus)

• On two-dimensional classical and Hermite sampling

  Asharabi, R. M. & Prestin, J., 01.04.2016, In: IMA Journal of Numerical Analysis. 36, 2, p. 851-871 21 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  5 Citations (Scopus)
• 2015

  A modification of hermite sampling with a Gaussian multiplier

  Asharabi, R. M. & Prestin, J., 01.01.2015, In: Numerical Functional Analysis and Optimization. 36, 4, p. 419-437 19 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  8 Citations (Scopus)

• Multivariate Periodic Wavelets of de la Vallée Poussin Type

  Bergmann, R. & Prestin, J., 01.01.2015, In: Journal of Fourier Analysis and Applications. 21, 2, p. 342-369 28 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Wavelet 100%
  • Direction 75%
  • Function Space 25%
  1 Citation (Scopus)

• Sharp estimates of approximation of periodic functions in Hölder spaces

  Kolomoitsev, Y. & Prestin, J., 01.12.2015, In: Journal of Approximation Theory. 200, p. 68-91 24 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Modulus of Smoothness 25%
  2 Citations (Scopus)

• Two ideals connected with strong right upper porosity at a point

  Bilet, V., Dovgoshey, O. & Prestin, J., 01.09.2015, In: Czechoslovak Mathematical Journal. 65, 3, p. 713-737 25 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Points 100%
  1 Citation (Scopus)
• 2014

  Local numerical integration on the sphere

  Beckmann, J., Mhaskar, H. N. & Prestin, J., 01.01.2014, In: GEM - International Journal on Geomathematics. 5, 2, p. 143-162 20 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Sphere 100%
  • Integration 66%
  • Algorithm 66%
  • Illustrates 33%
  • Medical Application 33%
  2 Citations (Scopus)

• Multivariate anisotropic interpolation on the torus

  Bergmann, R. & Prestin, J., 2014, Approximation Theory XIV: San Antonio 2013. Springer Basel

  Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

  • Direction 33%

• Periodic wavelet frames and time-frequency localization

  Lebedeva, E. A. & Prestin, J., 01.01.2014, In: Applied and Computational Harmonic Analysis. 37, 2, p. 347-359 13 p.

  Research output: Journal Articles › Letters › peer-review

  • Wavelet 100%
  9 Citations (Scopus)
• 2013

  A new estimate for Hölder approximation by Bernstein operators

  Gonska, H., Prestin, J. & Tachev, G., 01.01.2013, In: Applied Mathematics Letters. 26, 1, p. 43-45 3 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  3 Citations (Scopus)

• Polynomial Schauder basis of optimal degree with Jacobi orthogonality

  Prestin, J. & Schnieder, J., 01.08.2013, In: Journal of Approximation Theory. 174, 1, p. 65-89 25 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Wavelet 33%

• Simultaneous approximation by Bernstein operators in Hölder norms

  Gonska, H., Prestin, J., Tachev, G. & Zhou, D. X., 01.03.2013, In: Mathematische Nachrichten. 286, 4, p. 349-359 11 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  4 Citations (Scopus)
• 2012

  On the Problem of Parameter Estimation in Exponential Sums

  Filbir, F., Mhaskar, H. N. & Prestin, J., 01.06.2012, In: Constructive Approximation. 35, 3, p. 323-343 21 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Measure 66%
  17 Citations (Scopus)

• Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles

  Beckmann, J., Mhaskar, H. N. & Prestin, J., 01.04.2012, In: GEM - International Journal on Geomathematics. 3, 1, p. 119-138 20 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Trigonometric Polynomial 100%
  • Number 50%
  • Points 50%
  • Euclidean Space 50%
  8 Citations (Scopus)
• 2010

  Fast Summation of Functions on the Rotation Group

  Hielscher, R., Prestin, J. & Vollrath, A., 09.06.2010, In: Mathematical Geosciences. 42, 7, p. 773-794 22 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Summation 100%
  • Selection 25%
  7 Citations (Scopus)

• L^p Bernstein estimates and approximation by spherical basis functions

  Mhaskar, H. N., Narcowich, F. J., Prestin, J. & Ward, J. D., 01.07.2010, In: Mathematics of Computation. 79, 271, p. 1647-1679 33 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Error Estimate 33%
  31 Citations (Scopus)

• Multivariate periodic wavelet analysis

  Langemann, D. & Prestin, J., 01.01.2010, In: Applied and Computational Harmonic Analysis. 28, 1, p. 46-66 21 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Wavelet 100%
  • Direction 33%
  6 Citations (Scopus)
• 2009

  A fast algorithm for nonequispaced Fourier transforms on the rotation group

  Potts, D., Prestin, J. & Vollrath, A., 01.10.2009, In: Numerical Algorithms. 52, 3, p. 355-384 30 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Algorithm 100%
  • Nodes 33%
  22 Citations (Scopus)

• Iterative off-resonance and signal decay estimation and correction for multi-echo MRI

  Knopp, T., Eggers, H., Dahnke, H., Prestin, J. & Sénégas, J., 01.03.2009, In: IEEE Transactions on Medical Imaging. 28, 3, p. 394-404 11 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Estimation 100%
  • Map 100%
  • Algorithm 33%
  • Experiment 33%
  12 Citations (Scopus)

• On a filter for exponentially localized kernels based on Jacobi polynomials

  Filbir, F., Mhaskar, H. N. & Prestin, J., 01.09.2009, In: Journal of Approximation Theory. 160, 1-2, p. 256-280 25 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  8 Citations (Scopus)

• Polynomial operators for spectral approximation of piecewise analytic functions

  Mhaskar, H. N. & Prestin, J., 01.01.2009, In: Applied and Computational Harmonic Analysis. 26, 1, p. 121-142 22 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Points 75%
  • Number 25%
  11 Citations (Scopus)
• 2008

  The Radon transform on SO(3): A Fourier slice theorem and numerical inversion

  Hielscher, R., Potts, D., Prestin, J., Schaeben, H. & Schmalz, M., 01.04.2008, In: Inverse Problems. 24, 2, 025011.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Tomography 50%
  • Sphere 50%
  • One Dimensional 50%
  • Two Dimensional 25%
  16 Citations (Scopus)
• 2007

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

  van den Boogaart, K. G., Hielscher, R., Prestin, J. & Schaeben, H., 01.02.2007, In: Journal of Computational and Applied Mathematics. 199, 1, p. 122-140 19 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Texture Analysis 100%
  • Density 100%
  • One Dimensional 33%
  22 Citations (Scopus)

• Orientation density function-controlled pole probability density function measurements: Automated adaptive control of texture goniometers

  Schaeben, H., Hielscher, R., Fundenberger, J. J., Potts, D. & Prestin, J., 15.05.2007, In: Journal of Applied Crystallography. 40, 3, p. 570-579 10 p.

  Research output: Journal Articles › Journal articles › Research › peer-review

  • Size 100%
  • Control 100%
  • Density 100%
  19 Citations (Scopus)