Edit Profile (opens in new tab) Prestin, Jurgen Co-Author Distance Author ID: prestin.jurgen Published as: Prestin, Jürgen; Prestin, J.; Prestin, Juergen; Prestin, Jurgen more...less Documents Indexed: 103 Publications since 1982, including 1 Book and 2 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 49 Reviews Co-Authors: 57 Co-Authors with 89 Joint Publications 1,025 Co-Co-Authors all top 5 Co-Authors 15 single-authored 16 Mhaskar, Hrushikesh N. 8 Quak, Ewald G. 6 Kilgore, Theodore A. 5 Selig, Kathi K. 4 Asharabi, Rashad M. 4 Dovgoshey, Oleksiy Alfredovich 4 Kolomoitsev, Yurii S. 4 Savchuk, Viktor V. 4 Shidlich, Andrii 3 Filbir, Frank-Dieter 3 Hielscher, Ralf 3 Lebedeva, Elena A. 3 Wülker, Christian 2 Bergmann, Ronny 2 Bilet, Viktoriia Viktorivna 2 Derevianko, Nadiia 2 Girgensohn, Roland 2 Gonska, Heinz Herbert 2 Krivoshein, Aleksandr Vladimirovich 2 Laín Fernández, Noemí 2 Langemann, Dirk 2 Lomako, Tetiana 2 Narcowich, Francis J. 2 Potts, Daniel 2 Schaeben, Helmut 2 Schober, Kevin 2 Shevchuk, Igor Oleksandrovych 2 Sprengel, Frauke 2 Tachev, Gancho T. 2 Tasche, Manfred 2 Vollrath, Antje 2 Ward, Joseph Dinneen 1 Bakan, Andrew G. 1 Bittner, Kai 1 Chui, Charles Kam-tai 1 Conrad, Matthias 1 Ehrich, Sven 1 Fischer, Bernd 1 Gronau, Hans-Dietrich O. F. 1 Jain, Pawan Kumar 1 Karabash, Illya M. 1 Keiner, Jens 1 Khabiboulline, R. 1 Lasser, Rupert 1 Myronyuk, V. V. 1 Neiman, E. 1 Nesteruk, Igor G. 1 Obermaier, Josef 1 Prössdorf, Siegfried 1 Rauhut, Holger 1 Roşca, Daniela 1 Schnieder, Jörn 1 Stasyuk, Serhii A. 1 Stosiek, Alina 1 van den Boogaart, Karl Gerald 1 Xu, Yuan 1 Zhou, Dingxuan all top 5 Serials 10 Journal of Approximation Theory 5 Mathematische Nachrichten 4 Rostocker Mathematisches Kolloquium 4 Numerical Algorithms 4 The Journal of Fourier Analysis and Applications 4 GEM - International Journal on Geomathematics 3 Constructive Approximation 3 Applied and Computational Harmonic Analysis 3 Advances in Computational Mathematics 2 Mathematics of Computation 2 Numerical Functional Analysis and Optimization 2 ETNA. Electronic Transactions on Numerical Analysis 2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Studia Scientiarum Mathematicarum Hungarica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Acta Mathematica Hungarica 1 Applied Mathematics Letters 1 Multidimensional Systems and Signal Processing 1 Serdica 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 Cybernetics and Systems Analysis 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Mathematical Inequalities & Applications 1 Journal of Computational Analysis and Applications 1 Communications on Pure and Applied Analysis 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Seminar Analysis. Operator Equations and Numerical Analysis 1 Mathematical Geosciences 1 Mathematical Foundations of Computing all top 5 Fields 62 Harmonic analysis on Euclidean spaces (42-XX) 52 Approximations and expansions (41-XX) 31 Numerical analysis (65-XX) 7 Special functions (33-XX) 6 Information and communication theory, circuits (94-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 465 times in 299 Documents Cited by ▼ Year ▼ On the detection of singularities of a periodic function. Zbl 0937.42014 Mhaskar, H. N.; Prestin, J. 31 2000 \(L^p\) Bernstein estimates and approximation by spherical basis functions. Zbl 1200.41019 Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D. 25 2010 Polynomial frames: a fast tour. Zbl 1077.42028 Mhaskar, H. N.; Prestin, J. 23 2005 On the problem of parameter estimation in exponential sums. Zbl 1254.94015 Filbir, F.; Mhaskar, H. N.; Prestin, J. 18 2012 On local smoothness classes of periodic functions. Zbl 1096.42018 Mhaskar, H. N.; Prestin, J. 17 2005 On the connection of uncertainty principles for functions on the circle and on the real line. Zbl 1042.42003 Prestin, Jürgen; Quak, Ewald; Rauhut, Holger; Selig, Kathi 17 2003 Optimal functions for a periodic uncertainty principle and multiresolution analysis. Zbl 0930.42019 Prestin, Jürgen; Quak, Ewald 16 1999 Polynomial wavelets on the interval. Zbl 0848.41004 Kilgore, T.; Prestin, J. 16 1996 Wavelets based on orthogonal polynomials. Zbl 0896.42020 Fischer, Bernd; Prestin, Jürgen 16 1997 Polynomial frames on the sphere. Zbl 0974.41004 Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D. 14 2000 Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis. Zbl 1102.65134 Van Den Boogaart, K. G.; Hielscher, R.; Prestin, J.; Schaeben, H. 14 2007 A modification of Hermite sampling with a Gaussian multiplier. Zbl 1318.30055 Asharabi, R. M.; Prestin, J. 14 2015 A fast algorithm for nonequispaced Fourier transforms on the rotation group. Zbl 1179.65167 Potts, Daniel; Prestin, Jürgen; Vollrath, Antje 13 2009 On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038 Filbir, F.; Mhaskar, H. N.; Prestin, J. 11 2009 Polynomial operators for spectral approximation of piecewise analytic functions. Zbl 1161.41008 Mhaskar, H. N.; Prestin, J. 11 2009 On two-dimensional classical and Hermite sampling. Zbl 1433.94047 Asharabi, R. M.; Prestin, J. 11 2016 Periodic wavelet frames and time-frequency localization. Zbl 1294.42008 Lebedeva, Elena A.; Prestin, Jürgen 10 2014 Multivariate periodic wavelet analysis. Zbl 1185.42033 Langemann, Dirk; Prestin, Jürgen 8 2010 Local numerical integration on the sphere. Zbl 1305.65106 Beckmann, J.; Mhaskar, H. N.; Prestin, J. 8 2014 The Radon transform on SO(3): A Fourier slice theorem and numerical inversion. Zbl 1157.65070 Hielscher, R.; Potts, D.; Prestin, J.; Schaeben, H.; Schmalz, M. 7 2008 On Marcinkiewicz-Zygmund-type inequalities. Zbl 0901.41011 Mhaskar, H. N.; Prestin, J. 7 1998 Trigonometric interpolation and wavelet decompositions. Zbl 0828.65149 Prestin, J.; Quak, E. 7 1995 Polynomial frames for the detection of singularities. Zbl 0962.42020 Mhaskar, H. N.; Prestin, J. 7 2000 Trigonometric interpolation in Hölder spaces. Zbl 0714.42005 Prestin, Jürgen 7 1988 On the approximation by de la Vallée Poussin sums and interpolatory polynomials in Lipschitz norms. Zbl 0641.42005 Prestin, J. 6 1987 Error estimates in generalized trigonometric Hölder-Zygmund norms. Zbl 0735.42002 Prestin, J.; Prössdorf, Siegfried 6 1990 Multivariate periodic wavelets of de la Vallée Poussin type. Zbl 1315.42022 Bergmann, Ronny; Prestin, Jürgen 6 2015 On a constructive representation of an orthogonal trigonometric Schauder basis for \(C_{2\pi}\). Zbl 1015.42025 Prestin, Jürgen; Selig, Kathi K. 6 2001 Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028 Beckmann, J.; Mhaskar, H. N.; Prestin, J. 6 2012 Lebesgue constraints for an orthogonal polynomial Schauder basis. Zbl 0966.42016 Girgensohn, Roland; Prestin, Jürgen 5 2000 Fast Fourier transforms for spherical Gauss-Laguerre basis functions. Zbl 1453.65467 Prestin, Jürgen; Wülker, Christian 5 2017 Convergence rate for trigonometric interpolation of non-smooth functions. Zbl 0806.42002 Prestin, Jürgen; Xu, Yuan 5 1994 Multivariate anisotropic interpolation on the torus. Zbl 1327.42004 Bergmann, Ronny; Prestin, Jürgen 5 2014 Fast summation of functions on the rotation group. Zbl 1221.65007 Hielscher, Ralf; Prestin, Jürgen; Vollrath, Antje 5 2010 Fourier operational calculus. Zbl 0532.44004 Prestin, Jürgen; Tasche, Manfred 4 1983 On the order of convergence of simultaneous approximation by Lagrange- Hermite interpolation. Zbl 0733.41004 Kilgore, Theodore; Prestin, Jürgen 4 1991 Localization of the spherical Gauss-Weierstrass kernel. Zbl 1023.65155 Fernández, Noemí Laín; Prestin, Jürgen 4 2003 Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators. Zbl 1499.41036 Prestin, J.; Savchuk, V. V.; Shidlich, A. L. 4 2017 Approximation properties of periodic multivariate quasi-interpolation operators. Zbl 1475.41008 Kolomoitsev, Yurii; Prestin, Jürgen 4 2021 Bounded quasi-interpolatory polynomial operators. Zbl 0920.42019 Mhaskar, H. N.; Prestin, J. 3 1999 On a build-up polynomial frame for the detection of singularities. Zbl 0992.42025 Mhaskar, H. N.; Prestin, J. 3 1999 Orthogonal algebraic polynomial Schauder bases of optimal degree. Zbl 0882.42020 Kilgore, T.; Prestin, J.; Selig, K. 3 1996 Lagrange interpolation for functions of bounded variation. Zbl 0781.41003 Prestin, J. 3 1993 Sharp estimates of approximation of periodic functions in Hölder spaces. Zbl 1326.42003 Kolomoitsev, Yurii; Prestin, Jürgen 3 2015 Asymptotic formulas for the frame coefficients generated by Laguerre and Hermite type polynomials. Zbl 1213.42118 Khabiboulline, R.; Prestin, J. 2 2006 A duality principle for trigonometric wavelets. Zbl 0813.42018 Prestin, J.; Quak, E. 2 1994 On a sequence of fast decreasing polynomial operators. Zbl 0943.41008 Mhaskar, Hrushikesh N.; Prestin, Jürgen 2 1999 Interpolatory band-limited wavelet bases on the sphere. Zbl 1140.65097 Laín Fernández, Noemí; Prestin, Jürgen 2 2006 On \(L_p\)-error of bivariate polynomial interpolation on the square. Zbl 1456.41001 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 2 2018 Polynomial wavelets and wavelet packet bases. Zbl 0912.42023 Kilgore, T.; Prestin, J.; Selig, K. 2 1997 A theorem of Gopengauz type with added interpolatory conditions. Zbl 0838.41011 Kilgore, T.; Prestin, J. 2 1994 Trigonometric interpolation of functions of bounded variation. Zbl 0587.42002 Prestin, Jürgen 2 1984 Best approximation in Lipschitz spaces. Zbl 0621.42004 Prestin, J. 2 1987 Multivariate cosine wavelets. Zbl 0891.42023 Bittner, Kai; Chui, Charles K.; Prestin, Jürgen 2 1997 Periodic and spline multiresolution analysis and the lifting scheme. Zbl 1065.65153 Prestin, Jürgen; Quak, Ewald 2 2005 Trigonometric wavelets. Zbl 1049.42028 Prestin, J. 2 2001 Multiresolution on the sphere. Zbl 1004.65152 Conrad, Matthias; Prestin, Jürgen 2 2002 A new estimate for Hölder approximation by Bernstein operators. Zbl 1253.41019 Gonska, H.; Prestin, J.; Tachev, G. 2 2013 Edge detection with trigonometric polynomial shearlets. Zbl 1464.42032 Schober, Kevin; Prestin, Jürgen; Stasyuk, Serhii A. 2 2021 Simultaneous approximation by Bernstein operators in Hölder norms. Zbl 1268.41011 Gonska, Heiner; Prestin, Jürgen; Tachev, Gancho; Zhou, Ding-Xuan 2 2013 Pointwise Gopengauz estimates for interpolation. Zbl 0916.41006 Kilgore, T.; Prestin, J. 1 1996 Time frequency localization of trigonometric Hermite operators. Zbl 0930.42018 Prestin, Jürgen; Quak, Ewald 1 1995 Trigonometrische Interpolation von Funktionen beschränkter Variation. Zbl 0574.42003 Prestin, Jürgen 1 1985 Mean convergence of Lagrange interpolation. Zbl 0695.41001 Prestin, Jürgen 1 1989 On interpolation and best one-sided approximation by splines in \(L^ p\). Zbl 0761.41012 Prestin, J.; Quak, E. 1 1992 Lagrange interpolation on extended generalized Jacobi nodes. Zbl 0786.41006 Prestin, Jürgen 1 1993 On approximation of functions by algebraic polynomials in Hölder spaces. Zbl 1355.41005 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 1 2016 Two ideals connected with strong right upper porosity at a point. Zbl 1363.28001 Bilet, Viktoriia; Dovgoshey, Oleksiy; Prestin, Jürgen 1 2015 Approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators in the integral metric. Zbl 1374.42006 Prestin, J.; Savchuk, V. V.; Shidlich, A. L. 1 2017 Analysis of directional higher order jump discontinuities with trigonometric shearlets. Zbl 07723648 Schober, Kevin; Prestin, Jürgen 1 2023 Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions. Zbl 1460.94030 Asharabi, Rashad M.; Prestin, Jurgen 1 2021 Approximation theorems for multivariate Taylor-Abel-Poisson means. Zbl 1513.41010 Prestin, Jürgen; Savchuk, Viktor; Shidlich, Andrii 1 2019 Comparison of mathematical models for the dynamics of the Chernivtsi children disease. Zbl 1519.92270 Langemann, Dirk; Nesteruk, Igor; Prestin, Jürgen 1 2016 On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions. Zbl 1409.42025 Derevianko, Nadiia; Myroniuk, Vitalii; Prestin, Jürgen 1 2019 Translation matrix elements for spherical Gauss-Laguerre basis functions. Zbl 1483.65035 Prestin, Jürgen; Wülker, Christian 1 2019 Analysis of directional higher order jump discontinuities with trigonometric shearlets. Zbl 07723648 Schober, Kevin; Prestin, Jürgen 1 2023 Approximation properties of periodic multivariate quasi-interpolation operators. Zbl 1475.41008 Kolomoitsev, Yurii; Prestin, Jürgen 4 2021 Edge detection with trigonometric polynomial shearlets. Zbl 1464.42032 Schober, Kevin; Prestin, Jürgen; Stasyuk, Serhii A. 2 2021 Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions. Zbl 1460.94030 Asharabi, Rashad M.; Prestin, Jurgen 1 2021 Approximation theorems for multivariate Taylor-Abel-Poisson means. Zbl 1513.41010 Prestin, Jürgen; Savchuk, Viktor; Shidlich, Andrii 1 2019 On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions. Zbl 1409.42025 Derevianko, Nadiia; Myroniuk, Vitalii; Prestin, Jürgen 1 2019 Translation matrix elements for spherical Gauss-Laguerre basis functions. Zbl 1483.65035 Prestin, Jürgen; Wülker, Christian 1 2019 On \(L_p\)-error of bivariate polynomial interpolation on the square. Zbl 1456.41001 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 2 2018 Fast Fourier transforms for spherical Gauss-Laguerre basis functions. Zbl 1453.65467 Prestin, Jürgen; Wülker, Christian 5 2017 Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators. Zbl 1499.41036 Prestin, J.; Savchuk, V. V.; Shidlich, A. L. 4 2017 Approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators in the integral metric. Zbl 1374.42006 Prestin, J.; Savchuk, V. V.; Shidlich, A. L. 1 2017 On two-dimensional classical and Hermite sampling. Zbl 1433.94047 Asharabi, R. M.; Prestin, J. 11 2016 On approximation of functions by algebraic polynomials in Hölder spaces. Zbl 1355.41005 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 1 2016 Comparison of mathematical models for the dynamics of the Chernivtsi children disease. Zbl 1519.92270 Langemann, Dirk; Nesteruk, Igor; Prestin, Jürgen 1 2016 A modification of Hermite sampling with a Gaussian multiplier. Zbl 1318.30055 Asharabi, R. M.; Prestin, J. 14 2015 Multivariate periodic wavelets of de la Vallée Poussin type. Zbl 1315.42022 Bergmann, Ronny; Prestin, Jürgen 6 2015 Sharp estimates of approximation of periodic functions in Hölder spaces. Zbl 1326.42003 Kolomoitsev, Yurii; Prestin, Jürgen 3 2015 Two ideals connected with strong right upper porosity at a point. Zbl 1363.28001 Bilet, Viktoriia; Dovgoshey, Oleksiy; Prestin, Jürgen 1 2015 Periodic wavelet frames and time-frequency localization. Zbl 1294.42008 Lebedeva, Elena A.; Prestin, Jürgen 10 2014 Local numerical integration on the sphere. Zbl 1305.65106 Beckmann, J.; Mhaskar, H. N.; Prestin, J. 8 2014 Multivariate anisotropic interpolation on the torus. Zbl 1327.42004 Bergmann, Ronny; Prestin, Jürgen 5 2014 A new estimate for Hölder approximation by Bernstein operators. Zbl 1253.41019 Gonska, H.; Prestin, J.; Tachev, G. 2 2013 Simultaneous approximation by Bernstein operators in Hölder norms. Zbl 1268.41011 Gonska, Heiner; Prestin, Jürgen; Tachev, Gancho; Zhou, Ding-Xuan 2 2013 On the problem of parameter estimation in exponential sums. Zbl 1254.94015 Filbir, F.; Mhaskar, H. N.; Prestin, J. 18 2012 Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles. Zbl 1258.65028 Beckmann, J.; Mhaskar, H. N.; Prestin, J. 6 2012 \(L^p\) Bernstein estimates and approximation by spherical basis functions. Zbl 1200.41019 Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D. 25 2010 Multivariate periodic wavelet analysis. Zbl 1185.42033 Langemann, Dirk; Prestin, Jürgen 8 2010 Fast summation of functions on the rotation group. Zbl 1221.65007 Hielscher, Ralf; Prestin, Jürgen; Vollrath, Antje 5 2010 A fast algorithm for nonequispaced Fourier transforms on the rotation group. Zbl 1179.65167 Potts, Daniel; Prestin, Jürgen; Vollrath, Antje 13 2009 On a filter for exponentially localized kernels based on Jacobi polynomials. Zbl 1203.42038 Filbir, F.; Mhaskar, H. N.; Prestin, J. 11 2009 Polynomial operators for spectral approximation of piecewise analytic functions. Zbl 1161.41008 Mhaskar, H. N.; Prestin, J. 11 2009 The Radon transform on SO(3): A Fourier slice theorem and numerical inversion. Zbl 1157.65070 Hielscher, R.; Potts, D.; Prestin, J.; Schaeben, H.; Schmalz, M. 7 2008 Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis. Zbl 1102.65134 Van Den Boogaart, K. G.; Hielscher, R.; Prestin, J.; Schaeben, H. 14 2007 Asymptotic formulas for the frame coefficients generated by Laguerre and Hermite type polynomials. Zbl 1213.42118 Khabiboulline, R.; Prestin, J. 2 2006 Interpolatory band-limited wavelet bases on the sphere. Zbl 1140.65097 Laín Fernández, Noemí; Prestin, Jürgen 2 2006 Polynomial frames: a fast tour. Zbl 1077.42028 Mhaskar, H. N.; Prestin, J. 23 2005 On local smoothness classes of periodic functions. Zbl 1096.42018 Mhaskar, H. N.; Prestin, J. 17 2005 Periodic and spline multiresolution analysis and the lifting scheme. Zbl 1065.65153 Prestin, Jürgen; Quak, Ewald 2 2005 On the connection of uncertainty principles for functions on the circle and on the real line. Zbl 1042.42003 Prestin, Jürgen; Quak, Ewald; Rauhut, Holger; Selig, Kathi 17 2003 Localization of the spherical Gauss-Weierstrass kernel. Zbl 1023.65155 Fernández, Noemí Laín; Prestin, Jürgen 4 2003 Multiresolution on the sphere. Zbl 1004.65152 Conrad, Matthias; Prestin, Jürgen 2 2002 On a constructive representation of an orthogonal trigonometric Schauder basis for \(C_{2\pi}\). Zbl 1015.42025 Prestin, Jürgen; Selig, Kathi K. 6 2001 Trigonometric wavelets. Zbl 1049.42028 Prestin, J. 2 2001 On the detection of singularities of a periodic function. Zbl 0937.42014 Mhaskar, H. N.; Prestin, J. 31 2000 Polynomial frames on the sphere. Zbl 0974.41004 Mhaskar, H. N.; Narcowich, F. J.; Prestin, J.; Ward, J. D. 14 2000 Polynomial frames for the detection of singularities. Zbl 0962.42020 Mhaskar, H. N.; Prestin, J. 7 2000 Lebesgue constraints for an orthogonal polynomial Schauder basis. Zbl 0966.42016 Girgensohn, Roland; Prestin, Jürgen 5 2000 Optimal functions for a periodic uncertainty principle and multiresolution analysis. Zbl 0930.42019 Prestin, Jürgen; Quak, Ewald 16 1999 Bounded quasi-interpolatory polynomial operators. Zbl 0920.42019 Mhaskar, H. N.; Prestin, J. 3 1999 On a build-up polynomial frame for the detection of singularities. Zbl 0992.42025 Mhaskar, H. N.; Prestin, J. 3 1999 On a sequence of fast decreasing polynomial operators. Zbl 0943.41008 Mhaskar, Hrushikesh N.; Prestin, Jürgen 2 1999 On Marcinkiewicz-Zygmund-type inequalities. Zbl 0901.41011 Mhaskar, H. N.; Prestin, J. 7 1998 Wavelets based on orthogonal polynomials. Zbl 0896.42020 Fischer, Bernd; Prestin, Jürgen 16 1997 Polynomial wavelets and wavelet packet bases. Zbl 0912.42023 Kilgore, T.; Prestin, J.; Selig, K. 2 1997 Multivariate cosine wavelets. Zbl 0891.42023 Bittner, Kai; Chui, Charles K.; Prestin, Jürgen 2 1997 Polynomial wavelets on the interval. Zbl 0848.41004 Kilgore, T.; Prestin, J. 16 1996 Orthogonal algebraic polynomial Schauder bases of optimal degree. Zbl 0882.42020 Kilgore, T.; Prestin, J.; Selig, K. 3 1996 Pointwise Gopengauz estimates for interpolation. Zbl 0916.41006 Kilgore, T.; Prestin, J. 1 1996 Trigonometric interpolation and wavelet decompositions. Zbl 0828.65149 Prestin, J.; Quak, E. 7 1995 Time frequency localization of trigonometric Hermite operators. Zbl 0930.42018 Prestin, Jürgen; Quak, Ewald 1 1995 Convergence rate for trigonometric interpolation of non-smooth functions. Zbl 0806.42002 Prestin, Jürgen; Xu, Yuan 5 1994 A duality principle for trigonometric wavelets. Zbl 0813.42018 Prestin, J.; Quak, E. 2 1994 A theorem of Gopengauz type with added interpolatory conditions. Zbl 0838.41011 Kilgore, T.; Prestin, J. 2 1994 Lagrange interpolation for functions of bounded variation. Zbl 0781.41003 Prestin, J. 3 1993 Lagrange interpolation on extended generalized Jacobi nodes. Zbl 0786.41006 Prestin, Jürgen 1 1993 On interpolation and best one-sided approximation by splines in \(L^ p\). Zbl 0761.41012 Prestin, J.; Quak, E. 1 1992 On the order of convergence of simultaneous approximation by Lagrange- Hermite interpolation. Zbl 0733.41004 Kilgore, Theodore; Prestin, Jürgen 4 1991 Error estimates in generalized trigonometric Hölder-Zygmund norms. Zbl 0735.42002 Prestin, J.; Prössdorf, Siegfried 6 1990 Mean convergence of Lagrange interpolation. Zbl 0695.41001 Prestin, Jürgen 1 1989 Trigonometric interpolation in Hölder spaces. Zbl 0714.42005 Prestin, Jürgen 7 1988 On the approximation by de la Vallée Poussin sums and interpolatory polynomials in Lipschitz norms. Zbl 0641.42005 Prestin, J. 6 1987 Best approximation in Lipschitz spaces. Zbl 0621.42004 Prestin, J. 2 1987 Trigonometrische Interpolation von Funktionen beschränkter Variation. Zbl 0574.42003 Prestin, Jürgen 1 1985 Trigonometric interpolation of functions of bounded variation. Zbl 0587.42002 Prestin, Jürgen 2 1984 Fourier operational calculus. Zbl 0532.44004 Prestin, Jürgen; Tasche, Manfred 4 1983 all cited Publications top 5 cited Publications all top 5 Cited by 345 Authors 39 Prestin, Jurgen 30 Mhaskar, Hrushikesh N. 13 Asharabi, Rashad M. 11 Kolomoitsev, Yurii S. 10 Ward, Joseph Dinneen 9 Narcowich, Francis J. 8 Filbir, Frank-Dieter 8 Potts, Daniel 7 Hielscher, Ralf 6 Erb, Wolfgang 6 Tasche, Manfred 5 Bergmann, Ronny 5 Derevianko, Nadiia 5 Hangelbroek, Thomas C. 5 Lebedeva, Elena A. 5 Lomako, Tetiana 5 Plonka, Gerlind 5 Sloan, Ian Hugh 5 Wang, Yuguang 4 Batenkov, Dmitry 4 Chui, Charles Kam-tai 4 Dang, Pei 4 Goh, Say Song 4 Gräf, Manuel 4 Iglewska-Nowak, Ilona 4 Mastroianni, Giuseppe 4 Quellmalz, Michael 4 Schmid, Dominik 4 Sommariva, Alvise 4 Vianello, Marco 4 Womersley, Robert S. 3 Awonusika, Richard Olu 3 Guessab, Allal 3 Krivoshein, Aleksandr Vladimirovich 3 Kunis, Stefan 3 Kvernadze, George 3 Le Gia, Quoc Thong 3 Lin, Shaobo 3 Pesenson, Isaac Zalmanovich 3 Rieger, Christian 3 Savchuk, Viktor V. 3 Schaeben, Helmut 3 Shidlich, Andrii 3 Steidl, Gabriele 3 Tharwat, Mohammed M. 3 Ward, John Paul 3 Wülker, Christian 3 Zhuang, Xiaosheng 2 Andrievskii, Vladimir V. 2 Annaby, Mahmoud H. 2 Antoine, Jean-Pierre 2 Ben Mabrouk, Anouar 2 Bernstein, Swanhild 2 Bogdanova, Iva 2 Chen, Liang 2 Criscuolo, Giuliana 2 Dick, Josef 2 Farkov, Yuriĭ Anatol’evich 2 Goodman, Timothy N. T. 2 Jafarov, Sadulla Z. 2 Jallouli, Malika 2 Jokar, Mahmood 2 Laín Fernández, Noemí 2 Mahjoub, Mohamed Ali 2 Merkert, Dennis 2 Michel, Volker 2 Peter, Thomas 2 Rashidinia, Jalil 2 Rauhut, Holger 2 Rempulska, Lucyna 2 Schober, Kevin 2 Sprengel, Frauke 2 Sultanakhmedov, Murad Salikhovich 2 Tachev, Gancho T. 2 Takači, Đurđica 2 Teschke, Gerd 2 Tikhonov, Sergey Yur’evich 2 Ullrich, Tino 2 Vandergheynst, Pierre 2 Vollrath, Antje 2 von der Ohe, Ulrich 2 Wegert, Elias 2 Wischerhoff, Marius 1 Ahmad, Owais 1 Al-Haddad, Felwah H. 1 Al-Haddad, Hamoud 1 Al-Hayzea, Aisha M. 1 Alattas, Khalid A. 1 Altınok, Maya 1 Aluie, Hussein 1 An, Congpei 1 Ariwayo, Afolabi Gabriel 1 Askari-Hemmat, Ataollah 1 Atreas, Nikolaos D. 1 Ayllon, Jose P. Rodriguez 1 Barbotin, Yann 1 Bardaro, Carlo 1 Barkhudaryan, Rafayel H. 1 Bartel, Felix 1 Bartels, Sören ...and 245 more Authors all top 5 Cited in 97 Serials 37 Applied and Computational Harmonic Analysis 20 Journal of Approximation Theory 12 Mathematics of Computation 11 Journal of Computational and Applied Mathematics 11 Advances in Computational Mathematics 11 The Journal of Fourier Analysis and Applications 8 Numerical Algorithms 7 Journal of Complexity 7 GEM - International Journal on Geomathematics 6 Mathematische Nachrichten 6 Numerical Functional Analysis and Optimization 6 International Journal of Wavelets, Multiresolution and Information Processing 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Computation 5 Numerische Mathematik 5 Mathematical Geosciences 4 Mathematical Methods in the Applied Sciences 4 Applied Numerical Mathematics 4 Constructive Approximation 4 Linear Algebra and its Applications 4 The Journal of Analysis 3 Computers & Mathematics with Applications 3 Inverse Problems 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 ETNA. Electronic Transactions on Numerical Analysis 3 Sampling Theory, Signal Processing, and Data Analysis 2 Analysis Mathematica 2 Applicable Analysis 2 Mathematics and Computers in Simulation 2 SIAM Journal on Numerical Analysis 2 Acta Mathematica Hungarica 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Kyushu Journal of Mathematics 2 Turkish Journal of Mathematics 2 Abstract and Applied Analysis 2 Soft Computing 2 Journal of Inequalities and Applications 2 Foundations of Computational Mathematics 2 Bulletin of Mathematical Sciences 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 International Journal for Numerical Methods in Engineering 1 Journal of Multivariate Analysis 1 Kyungpook Mathematical Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Neural Networks 1 Signal Processing 1 Multidimensional Systems and Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Optimization 1 Cybernetics and Systems Analysis 1 Russian Mathematics 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 Mathematical Problems in Engineering 1 Matematychni Studiï 1 Mathematical Inequalities & Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Journal of Applied Mathematics and Computing 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Analysis in Theory and Applications 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 Complex Variables and Elliptic Equations 1 Applicable Analysis and Discrete Mathematics 1 PAMM. 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Razmadze Mathematical Institute 1 SIAM Journal on Applied Algebra and Geometry 1 Computational and Mathematical Biophysics 1 Mathematical Foundations of Computing all top 5 Cited in 43 Fields 142 Harmonic analysis on Euclidean spaces (42-XX) 129 Approximations and expansions (41-XX) 118 Numerical analysis (65-XX) 50 Information and communication theory, circuits (94-XX) 21 Special functions (33-XX) 16 Functional analysis (46-XX) 14 Statistics (62-XX) 13 Functions of a complex variable (30-XX) 13 Partial differential equations (35-XX) 12 Integral transforms, operational calculus (44-XX) 11 Abstract harmonic analysis (43-XX) 10 Computer science (68-XX) 9 Ordinary differential equations (34-XX) 8 Real functions (26-XX) 8 Integral equations (45-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 5 Sequences, series, summability (40-XX) 5 Biology and other natural sciences (92-XX) 4 Combinatorics (05-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year