Edit Profile (opens in new tab) Stens, Rudolf L. Co-Author Distance Author ID: stens.rudolf-l Published as: Stens, R. L.; Stens, Rudolf L.; Stens, Rudolf more...less Documents Indexed: 66 Publications since 1975, including 1 Book 3 Contributions as Editor Co-Authors: 30 Co-Authors with 63 Joint Publications 567 Co-Co-Authors all top 5 Co-Authors 6 single-authored 49 Butzer, Paul Leo 10 Schmeisser, Gerhard 7 Higgins, John Rowland 6 Bardaro, Carlo 6 Ries, Sigmar 6 Vinti, Gianluca 5 Ferreira, Paulo Jorge S. G. 5 Wehrens, Matthias 3 Fischer, Adelheid 2 Dodson, Michael Maurice 2 Görlich, Ernst 2 Jansche, Stefan 2 Nessel, Rolf Joachim 2 Splettstößer, Wolfgang 1 Dyckhoff, Harald 1 Engels, Wolfgang 1 Hauss, Michael 1 Hettich, U. 1 Krieg, Aloys 1 Krumke, Sven Oliver 1 Mantellini, Ilaria 1 Rasa, Ioan 1 Roegner, Katherine Sue 1 Saitoh, Saburou 1 Schüler, Lothar 1 Seidler, P. 1 Seiler, Ruedi 1 Szőkefalvi-Nagy, Béla 1 Vautz, Jörg 1 Wilmes, Gerhard all top 5 Serials 8 Journal of Approximation Theory 3 The Journal of Fourier Analysis and Applications 2 Applicable Analysis 2 Acta Scientiarum Mathematicarum 2 Functiones et Approximatio. Commentarii Mathematici 2 Results in Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Computers & Mathematics with Applications 1 IEEE Transactions on Information Theory 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Canadian Journal of Mathematics 1 Information and Control 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Aequationes Mathematicae 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Linear Algebra and its Applications 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Applied and Computational Harmonic Analysis 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Analysis (München) 1 Entropy 1 Sampling Theory in Signal and Image Processing 1 Annales Societatis Mathematicae Polonae 1 ISNM. International Series of Numerical Mathematics 1 Bulletin of Mathematical Sciences 1 Journal of Function Spaces 1 Sampling Theory, Signal Processing, and Data Analysis all top 5 Fields 45 Approximations and expansions (41-XX) 32 Information and communication theory, circuits (94-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 8 Real functions (26-XX) 8 Functional analysis (46-XX) 7 Numerical analysis (65-XX) 5 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Operator theory (47-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 1,014 times in 515 Documents Cited by ▼ Year ▼ The sampling theorem and linear prediction in signal analysis. Zbl 0633.94002 Butzer, P. L.; Splettstößer, W.; Stens, R. L. 115 1988 Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307 Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L. 76 2007 Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002 Butzer, P. L.; Stens, R. L. 75 1992 Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004 Butzer, P. L.; Ries, S.; Stens, R. L. 55 1987 Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Zbl 0357.26003 Butzer, Paul L.; Dyckhoff, H.; Görlich, E.; Stens, R. L. 47 1977 Approximation by generalized sampling series. Zbl 0588.41013 Ries, S.; Stens, R. L. 47 1984 Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216 Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca 41 2010 Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015 Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 39 2003 Sampling theory in Fourier and signal analysis. Vol. 2: Advanced topics. Zbl 0938.94001 32 1999 Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013 Butzer, P. L.; Higgins, J. R.; Stens, R. L. 32 2005 Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013 Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 32 2006 Sampling theory of signal analysis. Zbl 0961.94009 Butzer, Paul L.; Higgins, J. R.; Stens, R. L. 28 2000 A modification of the Whittaker-Kotelnikov-Shannon sampling series. Zbl 0582.41004 Butzer, Paul L.; Stens, R. L. 22 1985 Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013 Butzer, P. L.; Fischer, A.; Stens, R. L. 20 1990 The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis. Zbl 0534.65004 Butzer, Paul L.; Stens, R. L. 17 1983 On approximation by the interpolating series of G. Valiron. Zbl 0481.42007 Splettstoesser, W.; Stens, R. L.; Wilmes, G. 16 1981 The sampling theorem, Poisson’s summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals – their interconnections. Zbl 1217.30025 Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 16 2011 Error estimates for sampling sums based on convolution integrals. Zbl 0456.94003 Stens, R. L. 16 1980 Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 16 2012 The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic and cubic splines. Zbl 0617.41020 Butzer, P. L.; Engels, W.; Ries, S.; Stens, R. L. 15 1986 Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027 Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L. 14 2011 The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007 Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L. 14 2011 Chebyshev transform methods in the theory of best algebraic approximation. Zbl 0337.41026 Butzer, Paul L.; Stens, R. L. 14 1976 Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026 Butzer, P. L.; Fischer, A.; Stens, R. L. 14 1993 Basic relations valid for the Bernstein space \(B^{p}_{\sigma}\) and their extensions to functions from larger spaces with error estimates in terms of their distances from \(B^{p}_{\sigma}\). Zbl 1304.30037 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 14 2013 Generalized sampling approximation for multivariate discontinuous signals and applications to image processing. Zbl 1358.41022 Bardaro, Carlo; Mantellini, Ilaria; Stens, Rudolf; Vautz, Jörg; Vinti, Gianluca 13 2014 Higher order moduli of continuity based on the Jacobi translation operator and best approximation. Zbl 0436.41013 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 12 1980 Reconstruction of signals in \(L^p(\mathbb R)\)-space by generalized sampling series based on linear combinations of \(B\)-splines. Zbl 1146.41002 Butzer, P. L.; Stens, R. L. 11 2008 Prediction of non-bandlimited signals from past samples in terms of splines of low degree. Zbl 0627.94003 Butzer, P. L.; Stens, R. L. 10 1987 The operational properties of the Chebyshev transform. I: General properties. Zbl 0375.44003 Butzer, Paul L.; Stens, R. L. 10 1977 Legendre transform methods and best algebraic approximation. Zbl 0433.41010 Stens, R. L.; Wehrens, M. 10 1979 The continuous Legendre transform, its inverse transform, and applications. Zbl 0447.44001 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 10 1980 The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002 Butzer, P. L.; Schmeisser, G.; Stens, R. L. 10 2014 The Poisson summation formula, Whittaker’s cardinal series and approximate integration. Zbl 0549.94001 Butzer, Paul L.; Stens, R. L. 9 1983 Approximation by algebraic convolution integrals. Zbl 0406.41015 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 9 1979 Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon. Zbl 1210.94006 Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Lange, O.; Seidler, P.; Stens, R. L. 8 2011 Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. Zbl 1306.30009 Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 8 2014 Linear prediction in terms of samples from the past; an overview. Zbl 0850.93484 Butzer, P. L.; Stens, R. L. 7 1988 Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation. Zbl 0782.41030 Butzer, P. L.; Jansche, S.; Stens, R. L. 7 1992 Generalized sampling approximation of multivariate signals; Inverse approximation theorems. Zbl 0778.41002 Fischer, A.; Stens, R. L. 7 1991 Shannon’s sampling theorem, Cauchy’s integral formula, and related results. Zbl 0557.30034 Butzer, Paul L.; Ries, Sigmar; Stens, Rudolf L. 5 1984 The sampling theorem and its unique role in various branches of mathematics. Zbl 0824.94007 Butzer, P. L.; Hauss, M.; Stens, R. L. 5 1991 An extension of Kramer’s sampling theorem for not necessarily “bandlimited” signals – the aliasing error. Zbl 0835.94004 Butzer, P. L.; Stens, R. L. 4 1995 Best weighted polynomial approximation on the real line; a functional- analytic approach. Zbl 0756.41022 Jansche, S.; Stens, R. L. 4 1992 Saturation classes of the Cesaro and Abel-Poisson means of Fourier- Legendre series. Zbl 0396.41010 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 4 1979 The operational properties of the Chebyshev transform. II: Fractional derivatives. Zbl 0491.41029 Butzer, Paul L.; Stens, R. L. 3 1977 Approximation stetiger Funktionen durch algebraische Polynome und ihre Charakterisierung durch gewichtete Lipschitzbedingungen. Zbl 0546.41009 Stens, Rudolf 2 1981 Paul L. Butzer – five years as Professor Emeritus. Zbl 0973.01079 Görlich, E.; Krieg, A.; Nessel, R. J.; Stens, R. L. 2 1998 Approximation of functions by Whittaker’s cardinal series. Zbl 0582.42002 Stens, R. L. 2 1984 Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications. Zbl 1359.41002 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 2 2016 Basic relations valid for the Bernstein spaces \(B^2_{\sigma}\) and their extensions to larger function spaces via a unified distance concept. Zbl 1315.42014 Butzer, P. L.; Stens, R. L.; Schmeisser, G. 2 2014 A retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe. Zbl 1444.41001 Butzer, Paul L.; Stens, Rudolf L. 2 2020 A retrospective on research visits of Paul Butzer’s Aachen research group to Eastern Europe and Tenerife. Zbl 1511.01024 Butzer, Paul L.; Stens, Rudolf L. 2 2022 Anniversary volume on approximation theory and functional analysis. (Proceedings of the international Conference on Approximation Theory and Functional Analysis held at the Oberwolfach Mathematical Research Institute from July 30 to August 6, 1983). Zbl 0537.00009 1 1984 Approximating a bandlimited function in terms of its samples. Zbl 1014.94007 Hettich, U.; Stens, R. L. 1 2000 A unified approach to fundamental theorems of approximation by sequences of linear operators and their dual versions. Zbl 0597.41020 Ries, S.; Stens, R. L. 1 1984 Characterization of best algebraic approximation by weighted moduli of continuity. Zbl 0601.41027 Stens, R. L. 1 1983 Chebyshev transform methods in the solution of the fundamental theorem of best algebraic approximation in the fractional case. Zbl 0428.41016 Butzer, Paul L.; Stens, R. L. 1 1978 Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space. Zbl 1489.35047 Butzer, Paul L.; Stens, Rudolf L. 1 2022 The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae. Zbl 1396.41028 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 1 2018 A retrospective on research visits of Paul Butzer’s Aachen research group to Eastern Europe and Tenerife. Zbl 1511.01024 Butzer, Paul L.; Stens, Rudolf L. 2 2022 Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space. Zbl 1489.35047 Butzer, Paul L.; Stens, Rudolf L. 1 2022 A retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe. Zbl 1444.41001 Butzer, Paul L.; Stens, Rudolf L. 2 2020 The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae. Zbl 1396.41028 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 1 2018 Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications. Zbl 1359.41002 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 2 2016 Generalized sampling approximation for multivariate discontinuous signals and applications to image processing. Zbl 1358.41022 Bardaro, Carlo; Mantellini, Ilaria; Stens, Rudolf; Vautz, Jörg; Vinti, Gianluca 13 2014 The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002 Butzer, P. L.; Schmeisser, G.; Stens, R. L. 10 2014 Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. Zbl 1306.30009 Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 8 2014 Basic relations valid for the Bernstein spaces \(B^2_{\sigma}\) and their extensions to larger function spaces via a unified distance concept. Zbl 1315.42014 Butzer, P. L.; Stens, R. L.; Schmeisser, G. 2 2014 Basic relations valid for the Bernstein space \(B^{p}_{\sigma}\) and their extensions to functions from larger spaces with error estimates in terms of their distances from \(B^{p}_{\sigma}\). Zbl 1304.30037 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 14 2013 Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 16 2012 The sampling theorem, Poisson’s summation formula, general Parseval formula, reproducing kernel formula and the Paley-Wiener theorem for bandlimited signals – their interconnections. Zbl 1217.30025 Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 16 2011 Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027 Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L. 14 2011 The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007 Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L. 14 2011 Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon. Zbl 1210.94006 Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Lange, O.; Seidler, P.; Stens, R. L. 8 2011 Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216 Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca 41 2010 Reconstruction of signals in \(L^p(\mathbb R)\)-space by generalized sampling series based on linear combinations of \(B\)-splines. Zbl 1146.41002 Butzer, P. L.; Stens, R. L. 11 2008 Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307 Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L. 76 2007 Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013 Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 32 2006 Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013 Butzer, P. L.; Higgins, J. R.; Stens, R. L. 32 2005 Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015 Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 39 2003 Sampling theory of signal analysis. Zbl 0961.94009 Butzer, Paul L.; Higgins, J. R.; Stens, R. L. 28 2000 Approximating a bandlimited function in terms of its samples. Zbl 1014.94007 Hettich, U.; Stens, R. L. 1 2000 Sampling theory in Fourier and signal analysis. Vol. 2: Advanced topics. Zbl 0938.94001 32 1999 Paul L. Butzer – five years as Professor Emeritus. Zbl 0973.01079 Görlich, E.; Krieg, A.; Nessel, R. J.; Stens, R. L. 2 1998 An extension of Kramer’s sampling theorem for not necessarily “bandlimited” signals – the aliasing error. Zbl 0835.94004 Butzer, P. L.; Stens, R. L. 4 1995 Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026 Butzer, P. L.; Fischer, A.; Stens, R. L. 14 1993 Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002 Butzer, P. L.; Stens, R. L. 75 1992 Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation. Zbl 0782.41030 Butzer, P. L.; Jansche, S.; Stens, R. L. 7 1992 Best weighted polynomial approximation on the real line; a functional- analytic approach. Zbl 0756.41022 Jansche, S.; Stens, R. L. 4 1992 Generalized sampling approximation of multivariate signals; Inverse approximation theorems. Zbl 0778.41002 Fischer, A.; Stens, R. L. 7 1991 The sampling theorem and its unique role in various branches of mathematics. Zbl 0824.94007 Butzer, P. L.; Hauss, M.; Stens, R. L. 5 1991 Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013 Butzer, P. L.; Fischer, A.; Stens, R. L. 20 1990 The sampling theorem and linear prediction in signal analysis. Zbl 0633.94002 Butzer, P. L.; Splettstößer, W.; Stens, R. L. 115 1988 Linear prediction in terms of samples from the past; an overview. Zbl 0850.93484 Butzer, P. L.; Stens, R. L. 7 1988 Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004 Butzer, P. L.; Ries, S.; Stens, R. L. 55 1987 Prediction of non-bandlimited signals from past samples in terms of splines of low degree. Zbl 0627.94003 Butzer, P. L.; Stens, R. L. 10 1987 The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic and cubic splines. Zbl 0617.41020 Butzer, P. L.; Engels, W.; Ries, S.; Stens, R. L. 15 1986 A modification of the Whittaker-Kotelnikov-Shannon sampling series. Zbl 0582.41004 Butzer, Paul L.; Stens, R. L. 22 1985 Approximation by generalized sampling series. Zbl 0588.41013 Ries, S.; Stens, R. L. 47 1984 Shannon’s sampling theorem, Cauchy’s integral formula, and related results. Zbl 0557.30034 Butzer, Paul L.; Ries, Sigmar; Stens, Rudolf L. 5 1984 Approximation of functions by Whittaker’s cardinal series. Zbl 0582.42002 Stens, R. L. 2 1984 Anniversary volume on approximation theory and functional analysis. (Proceedings of the international Conference on Approximation Theory and Functional Analysis held at the Oberwolfach Mathematical Research Institute from July 30 to August 6, 1983). Zbl 0537.00009 1 1984 A unified approach to fundamental theorems of approximation by sequences of linear operators and their dual versions. Zbl 0597.41020 Ries, S.; Stens, R. L. 1 1984 The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis. Zbl 0534.65004 Butzer, Paul L.; Stens, R. L. 17 1983 The Poisson summation formula, Whittaker’s cardinal series and approximate integration. Zbl 0549.94001 Butzer, Paul L.; Stens, R. L. 9 1983 Characterization of best algebraic approximation by weighted moduli of continuity. Zbl 0601.41027 Stens, R. L. 1 1983 On approximation by the interpolating series of G. Valiron. Zbl 0481.42007 Splettstoesser, W.; Stens, R. L.; Wilmes, G. 16 1981 Approximation stetiger Funktionen durch algebraische Polynome und ihre Charakterisierung durch gewichtete Lipschitzbedingungen. Zbl 0546.41009 Stens, Rudolf 2 1981 Error estimates for sampling sums based on convolution integrals. Zbl 0456.94003 Stens, R. L. 16 1980 Higher order moduli of continuity based on the Jacobi translation operator and best approximation. Zbl 0436.41013 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 12 1980 The continuous Legendre transform, its inverse transform, and applications. Zbl 0447.44001 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 10 1980 Legendre transform methods and best algebraic approximation. Zbl 0433.41010 Stens, R. L.; Wehrens, M. 10 1979 Approximation by algebraic convolution integrals. Zbl 0406.41015 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 9 1979 Saturation classes of the Cesaro and Abel-Poisson means of Fourier- Legendre series. Zbl 0396.41010 Butzer, Paul L.; Stens, R. L.; Wehrens, M. 4 1979 Chebyshev transform methods in the solution of the fundamental theorem of best algebraic approximation in the fractional case. Zbl 0428.41016 Butzer, Paul L.; Stens, R. L. 1 1978 Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Zbl 0357.26003 Butzer, Paul L.; Dyckhoff, H.; Görlich, E.; Stens, R. L. 47 1977 The operational properties of the Chebyshev transform. I: General properties. Zbl 0375.44003 Butzer, Paul L.; Stens, R. L. 10 1977 The operational properties of the Chebyshev transform. II: Fractional derivatives. Zbl 0491.41029 Butzer, Paul L.; Stens, R. L. 3 1977 Chebyshev transform methods in the theory of best algebraic approximation. Zbl 0337.41026 Butzer, Paul L.; Stens, R. L. 14 1976 all cited Publications top 5 cited Publications all top 5 Cited by 419 Authors 54 Vinti, Gianluca 43 Butzer, Paul Leo 43 Costarelli, Danilo 34 Bardaro, Carlo 31 Mantellini, Ilaria 28 Stens, Rudolf L. 19 Schmeisser, Gerhard 17 Angeloni, Laura 17 Tharwat, Mohammed M. 16 Boche, Holger 15 Annaby, Mahmoud H. 14 Kolomoitsev, Yurii S. 11 Mönich, Ullrich Johann 11 Tikhonov, Sergey Yur’evich 10 Asharabi, Rashad M. 10 Higgins, John Rowland 9 Acar, Tuncer 9 Skopina, Maria A. 8 Dodson, Michael Maurice 7 Ferreira, Paulo Jorge S. G. 7 Kumar, Angamuthu Sathish 7 Madych, Wolodymyr R. 7 Seracini, Marco 6 Bhrawy, Ali Hassan 6 Boccuto, Antonio 6 Sun, Wenchang 6 Trynin, Aleksandr Yur’evich 5 Akgun, Ramazan 5 Devaraj, Ponnaian 5 Jansche, Stefan 5 Karsli, Harun 5 Kivinukk, Andi 5 Krivoshein, Aleksandr Vladimirovich 5 Sambucini, Anna Rita 5 Walter, Gilbert G. 5 Zampogni, Luca 5 Zayed, Ahmed I. 5 Zhou, Xingwei 4 Angamuthu, Sathish Kumar 4 Bajpeyi, Shivam 4 Coroianu, Lucian C. 4 Draganov, Borislav R. 4 Gal, Sorin Gheorghe 4 García Guirao, Juan Luis 4 Lubinsky, Doron S. 4 Pogány, Tibor K. 4 Potapov, Mikhaĭl Konstantinovich 4 Runovski, Konstantin Vsevolodovich 4 Spigler, Renato 4 Turgay, Metin 4 Volosivets, Sergeĭ Sergeevich 3 Agratini, Octavian 3 Alagoz, Osman 3 Alofi, Abdulaziz Saleem Moslem 3 Antuña, Almudena 3 Aral, Ali 3 Artamonov, Sergeĭ Yurievich 3 Aslan, Ismail 3 Atreas, Nikolaos D. 3 Bailey, Barbara A. 3 Bustamante González, Jorge 3 Daher, Radouan 3 Duman, Oktay 3 Fang, Gensun 3 Felten, Michael 3 Ganzburg, Michael Iosifovich 3 Görlich, Ernst 3 Gröchenig, Karlheinz 3 Kursun, Sadettin 3 López, Miguel Ángel 3 Nasri-Roudsari, Gabriele 3 Nessel, Rolf Joachim 3 Patel, Dhiraj 3 Pawlak, Mirosław 3 Ponnaian, Devaraj 3 Quesada, José María 3 Radha, Ramakrishnan 3 Saksa, Anna 3 Sampath, Sivananthan 3 Song, Zhanjie 3 Tamberg, Gert 3 Vakarchuk, Sergei Borisovich 2 Abd-Alla, Mohammed Z. 2 Al-Harbi, Saleh M. 2 Arati, Shashi 2 Beaty, M. G. 2 Berisha, Faton M. 2 Berrut, Jean-Paul 2 Boumenir, Amin A. 2 Candeloro, Domenico 2 Çetin, Nursel 2 Chen, Liang 2 Danelia, Ana 2 Deeba, Elias Y. 2 Dimitriou, Xenofon 2 Dominguez, Oscar 2 Dryanov, Dimiter P. 2 Faina, Loris 2 Faridani, Adel 2 Feichtinger, Hans Georg ...and 319 more Authors all top 5 Cited in 159 Serials 46 Journal of Approximation Theory 26 Results in Mathematics 24 Journal of Mathematical Analysis and Applications 22 The Journal of Fourier Analysis and Applications 15 Numerical Functional Analysis and Optimization 14 Applied Mathematics and Computation 13 Applicable Analysis 12 Mediterranean Journal of Mathematics 9 Computers & Mathematics with Applications 9 Journal of Computational and Applied Mathematics 8 Numerical Algorithms 8 Applied and Computational Harmonic Analysis 7 Mathematische Nachrichten 7 Constructive Mathematical Analysis 6 Acta Mathematica Hungarica 6 Applied Mathematics Letters 6 Journal of Mathematical Sciences (New York) 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Sampling Theory, Signal Processing, and Data Analysis 5 Mathematical Methods in the Applied Sciences 5 Mathematical Notes 5 Ukrainian Mathematical Journal 5 Zeitschrift für Analysis und ihre Anwendungen 5 Advances in Computational Mathematics 5 Abstract and Applied Analysis 5 Mathematical Foundations of Computing 4 Calcolo 4 Proceedings of the American Mathematical Society 4 Journal of Complexity 4 Signal Processing 4 Integral Transforms and Special Functions 4 Boundary Value Problems 4 Analysis and Mathematical Physics 3 Analysis Mathematica 3 Problems of Information Transmission 3 BIT 3 Demonstratio Mathematica 3 Constructive Approximation 3 St. Petersburg Mathematical Journal 3 Acta Mathematica et Informatica Universitatis Ostraviensis 3 Fractional Calculus & Applied Analysis 3 Advanced Nonlinear Studies 3 Analysis and Applications (Singapore) 3 Advances in Difference Equations 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Journal of Computational Physics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematica Slovaca 2 Numerische Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Siberian Mathematical Journal 2 Science in China. Series A 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Aequationes Mathematicae 2 International Journal of Computer Mathematics 2 Linear Algebra and its Applications 2 Russian Mathematics 2 The Journal of Analysis 2 Turkish Journal of Mathematics 2 Journal of Mathematical Chemistry 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Communications on Pure and Applied Analysis 2 Computational Methods and Function Theory 2 Hacettepe Journal of Mathematics and Statistics 2 Analysis in Theory and Applications 2 Banach Journal of Mathematical Analysis 2 Proceedings of the Estonian Academy of Sciences 2 Bulletin of Mathematical Sciences 2 Problemy Analiza. Issues of Analysis 2 Research in the Mathematical Sciences 2 Bollettino dell’Unione Matematica Italiana 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Archive for History of Exact Sciences 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Kyungpook Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design ...and 59 more Serials all top 5 Cited in 38 Fields 296 Approximations and expansions (41-XX) 199 Information and communication theory, circuits (94-XX) 151 Harmonic analysis on Euclidean spaces (42-XX) 69 Numerical analysis (65-XX) 66 Functional analysis (46-XX) 61 Operator theory (47-XX) 57 Real functions (26-XX) 36 Functions of a complex variable (30-XX) 30 Ordinary differential equations (34-XX) 24 Integral transforms, operational calculus (44-XX) 20 Special functions (33-XX) 18 Partial differential equations (35-XX) 16 Probability theory and stochastic processes (60-XX) 14 Sequences, series, summability (40-XX) 12 History and biography (01-XX) 10 Abstract harmonic analysis (43-XX) 9 Computer science (68-XX) 8 Statistics (62-XX) 6 Number theory (11-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year