Edit Profile (opens in new tab) Stens, Rudolf L. Compute Distance To: Compute Author ID: stens.rudolf-l Published as: Stens, R. L.; Stens, Rudolf L.; Stens, Rudolf more...less Documents Indexed: 64 Publications since 1975, including 1 Book 3 Contributions as Editor Co-Authors: 30 Co-Authors with 61 Joint Publications 546 Co-Co-Authors all top 5 Co-Authors 6 single-authored 47 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 7 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 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 Functional analysis (46-XX) 7 Real functions (26-XX) 7 Numerical analysis (65-XX) 5 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-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 57 Publications have been cited 879 times in 457 Documents Cited by ▼ Year ▼ The sampling theorem and linear prediction in signal analysis. Zbl 0633.94002Butzer, P. L.; Splettstößer, W.; Stens, R. L. 103 1988 Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002Butzer, P. L.; Stens, R. L. 67 1992 Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L. 62 2007 Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004Butzer, P. L.; Ries, S.; Stens, R. L. 46 1987 Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Zbl 0357.26003Butzer, Paul L.; Dyckhoff, H.; Görlich, E.; Stens, R. L. 43 1977 Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 36 2003 Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca 35 2010 Approximation by generalized sampling series. Zbl 0588.41013Ries, S.; Stens, R. L. 34 1984 Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013Butzer, P. L.; Higgins, J. R.; Stens, R. L. 32 2005 Sampling theory of signal analysis. Zbl 0961.94009Butzer, Paul L.; Higgins, J. R.; Stens, R. L. 24 2000 Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 23 2006 Sampling theory in Fourier and signal analysis. Vol. 2: Advanced topics. Zbl 0938.94001 22 1999 A modification of the Whittaker-Kotelnikov-Shannon sampling series. Zbl 0582.41004Butzer, Paul L.; Stens, R. L. 21 1985 The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis. Zbl 0534.65004Butzer, Paul L.; Stens, R. L. 17 1983 Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013Butzer, P. L.; Fischer, A.; Stens, R. L. 17 1990 Error estimates for sampling sums based on convolution integrals. Zbl 0456.94003Stens, R. L. 16 1980 On approximation by the interpolating series of G. Valiron. Zbl 0481.42007Splettstoesser, W.; Stens, R. L.; Wilmes, G. 15 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 1217.30025Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 15 2011 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 1304.30037Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 14 2013 The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007Butzer, 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 0337.41026Butzer, Paul L.; Stens, R. L. 14 1976 The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic and cubic splines. Zbl 0617.41020Butzer, P. L.; Engels, W.; Ries, S.; Stens, R. L. 13 1986 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 1314.94034Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 12 2012 The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002Butzer, P. L.; Schmeisser, G.; Stens, R. L. 11 2014 Reconstruction of signals in \(L^p(\mathbb R)\)-space by generalized sampling series based on linear combinations of \(B\)-splines. Zbl 1146.41002Butzer, P. L.; Stens, R. L. 10 2008 Legendre transform methods and best algebraic approximation. Zbl 0433.41010Stens, R. L.; Wehrens, M. 10 1979 Higher order moduli of continuity based on the Jacobi translation operator and best approximation. Zbl 0436.41013Butzer, Paul L.; Stens, R. L.; Wehrens, M. 10 1980 Prediction of non-bandlimited signals from past samples in terms of splines of low degree. Zbl 0627.94003Butzer, P. L.; Stens, R. L. 10 1987 The operational properties of the Chebyshev transform. I: General properties. Zbl 0375.44003Butzer, Paul L.; Stens, R. L. 10 1977 The continuous Legendre transform, its inverse transform, and applications. Zbl 0447.44001Butzer, Paul L.; Stens, R. L.; Wehrens, M. 9 1980 Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L. 9 2011 Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026Butzer, P. L.; Fischer, A.; Stens, R. L. 9 1993 Generalized sampling approximation for multivariate discontinuous signals and applications to image processing. Zbl 1358.41022Bardaro, Carlo; Mantellini, Ilaria; Stens, Rudolf; Vautz, Jörg; Vinti, Gianluca 8 2014 Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. Zbl 1306.30009Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 8 2014 The Poisson summation formula, Whittaker’s cardinal series and approximate integration. Zbl 0549.94001Butzer, Paul L.; Stens, R. L. 8 1983 Linear prediction in terms of samples from the past; an overview. Zbl 0850.93484Butzer, P. L.; Stens, R. L. 7 1988 Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation. Zbl 0782.41030Butzer, P. L.; Jansche, S.; Stens, R. L. 7 1992 Approximation by algebraic convolution integrals. Zbl 0406.41015Butzer, Paul L.; Stens, R. L.; Wehrens, M. 7 1979 Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon. Zbl 1210.94006Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Lange, O.; Seidler, P.; Stens, R. L. 6 2011 Generalized sampling approximation of multivariate signals; Inverse approximation theorems. Zbl 0778.41002Fischer, A.; Stens, R. L. 6 1991 The sampling theorem and its unique role in various branches of mathematics. Zbl 0824.94007Butzer, P. L.; Hauss, M.; Stens, R. L. 5 1991 Shannon’s sampling theorem, Cauchy’s integral formula, and related results. Zbl 0557.30034Butzer, Paul L.; Ries, Sigmar; Stens, Rudolf L. 4 1984 An extension of Kramer’s sampling theorem for not necessarily “bandlimited” signals – the aliasing error. Zbl 0835.94004Butzer, P. L.; Stens, R. L. 4 1995 Best weighted polynomial approximation on the real line; a functional- analytic approach. Zbl 0756.41022Jansche, S.; Stens, R. L. 4 1992 Saturation classes of the Cesaro and Abel-Poisson means of Fourier- Legendre series. Zbl 0396.41010Butzer, Paul L.; Stens, R. L.; Wehrens, M. 4 1979 Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications. Zbl 1359.41002Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 2 2016 The operational properties of the Chebyshev transform. II: Fractional derivatives. Zbl 0491.41029Butzer, Paul L.; Stens, R. L. 2 1977 Basic relations valid for the Bernstein spaces \(B^2_{\sigma}\) and their extensions to larger function spaces via a unified distance concept. Zbl 1315.42014Butzer, P. L.; Stens, R. L.; Schmeisser, G. 2 2014 Approximation stetiger Funktionen durch algebraische Polynome und ihre Charakterisierung durch gewichtete Lipschitzbedingungen. Zbl 0546.41009Stens, Rudolf 2 1981 Approximation of functions by Whittaker’s cardinal series. Zbl 0582.42002Stens, R. L. 2 1984 Paul L. Butzer – five years as Professor Emeritus. Zbl 0973.01079Görlich, E.; Krieg, A.; Nessel, R. J.; Stens, R. L. 2 1998 The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae. Zbl 1396.41028Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 1 2018 A retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe. Zbl 1444.41001Butzer, Paul L.; Stens, Rudolf L. 1 2020 A unified approach to fundamental theorems of approximation by sequences of linear operators and their dual versions. Zbl 0597.41020Ries, S.; Stens, R. L. 1 1984 Characterization of best algebraic approximation by weighted moduli of continuity. Zbl 0601.41027Stens, R. L. 1 1983 Approximating a bandlimited function in terms of its samples. Zbl 1014.94007Hettich, U.; Stens, R. L. 1 2000 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 retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe. Zbl 1444.41001Butzer, Paul L.; Stens, Rudolf L. 1 2020 The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae. Zbl 1396.41028Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 1 2018 Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications. Zbl 1359.41002Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 2 2016 The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. Zbl 1370.42002Butzer, P. L.; Schmeisser, G.; Stens, R. L. 11 2014 Generalized sampling approximation for multivariate discontinuous signals and applications to image processing. Zbl 1358.41022Bardaro, Carlo; Mantellini, Ilaria; Stens, Rudolf; Vautz, Jörg; Vinti, Gianluca 8 2014 Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. Zbl 1306.30009Butzer, 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 1315.42014Butzer, 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 1304.30037Butzer, 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 1314.94034Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 12 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 1217.30025Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. 15 2011 The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. Zbl 1225.65007Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L. 14 2011 Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers. Zbl 1213.94027Butzer, P. L.; Ferreira, P. J. S. G.; Higgins, J. R.; Saitoh, S.; Schmeisser, G.; Stens, R. L. 9 2011 Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon. Zbl 1210.94006Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Lange, O.; Seidler, P.; Stens, R. L. 6 2011 Prediction by samples from the past with error estimates covering discontinuous signals. Zbl 1366.94216Bardaro, Carlo; Butzer, Paul L.; Stens, Rudolf L.; Vinti, Gianluca 35 2010 Reconstruction of signals in \(L^p(\mathbb R)\)-space by generalized sampling series based on linear combinations of \(B\)-splines. Zbl 1146.41002Butzer, P. L.; Stens, R. L. 10 2008 Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Zbl 1156.41307Bardaro, C.; Vinti, G.; Butzer, P. L.; Stens, R. L. 62 2007 Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals. Zbl 1087.94013Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 23 2006 Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm. Zbl 1089.94013Butzer, 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 1049.41015Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G. 36 2003 Sampling theory of signal analysis. Zbl 0961.94009Butzer, Paul L.; Higgins, J. R.; Stens, R. L. 24 2000 Approximating a bandlimited function in terms of its samples. Zbl 1014.94007Hettich, U.; Stens, R. L. 1 2000 Sampling theory in Fourier and signal analysis. Vol. 2: Advanced topics. Zbl 0938.94001 22 1999 Paul L. Butzer – five years as Professor Emeritus. Zbl 0973.01079Görlich, 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 0835.94004Butzer, P. L.; Stens, R. L. 4 1995 Generalized sampling approximation of multivariate signals; general theory. Zbl 0789.42026Butzer, P. L.; Fischer, A.; Stens, R. L. 9 1993 Sampling theory for not necessarily band-limited functions: A historical overview. Zbl 0746.94002Butzer, P. L.; Stens, R. L. 67 1992 Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation. Zbl 0782.41030Butzer, P. L.; Jansche, S.; Stens, R. L. 7 1992 Best weighted polynomial approximation on the real line; a functional- analytic approach. Zbl 0756.41022Jansche, S.; Stens, R. L. 4 1992 Generalized sampling approximation of multivariate signals; Inverse approximation theorems. Zbl 0778.41002Fischer, A.; Stens, R. L. 6 1991 The sampling theorem and its unique role in various branches of mathematics. Zbl 0824.94007Butzer, P. L.; Hauss, M.; Stens, R. L. 5 1991 Generalized sampling approximation of multivariate signals; theory and some applications. Zbl 0768.42013Butzer, P. L.; Fischer, A.; Stens, R. L. 17 1990 The sampling theorem and linear prediction in signal analysis. Zbl 0633.94002Butzer, P. L.; Splettstößer, W.; Stens, R. L. 103 1988 Linear prediction in terms of samples from the past; an overview. Zbl 0850.93484Butzer, P. L.; Stens, R. L. 7 1988 Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004Butzer, P. L.; Ries, S.; Stens, R. L. 46 1987 Prediction of non-bandlimited signals from past samples in terms of splines of low degree. Zbl 0627.94003Butzer, 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 0617.41020Butzer, P. L.; Engels, W.; Ries, S.; Stens, R. L. 13 1986 A modification of the Whittaker-Kotelnikov-Shannon sampling series. Zbl 0582.41004Butzer, Paul L.; Stens, R. L. 21 1985 Approximation by generalized sampling series. Zbl 0588.41013Ries, S.; Stens, R. L. 34 1984 Shannon’s sampling theorem, Cauchy’s integral formula, and related results. Zbl 0557.30034Butzer, Paul L.; Ries, Sigmar; Stens, Rudolf L. 4 1984 Approximation of functions by Whittaker’s cardinal series. Zbl 0582.42002Stens, R. L. 2 1984 A unified approach to fundamental theorems of approximation by sequences of linear operators and their dual versions. Zbl 0597.41020Ries, S.; Stens, R. L. 1 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 The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis. Zbl 0534.65004Butzer, Paul L.; Stens, R. L. 17 1983 The Poisson summation formula, Whittaker’s cardinal series and approximate integration. Zbl 0549.94001Butzer, Paul L.; Stens, R. L. 8 1983 Characterization of best algebraic approximation by weighted moduli of continuity. Zbl 0601.41027Stens, R. L. 1 1983 On approximation by the interpolating series of G. Valiron. Zbl 0481.42007Splettstoesser, W.; Stens, R. L.; Wilmes, G. 15 1981 Approximation stetiger Funktionen durch algebraische Polynome und ihre Charakterisierung durch gewichtete Lipschitzbedingungen. Zbl 0546.41009Stens, Rudolf 2 1981 Error estimates for sampling sums based on convolution integrals. Zbl 0456.94003Stens, R. L. 16 1980 Higher order moduli of continuity based on the Jacobi translation operator and best approximation. Zbl 0436.41013Butzer, Paul L.; Stens, R. L.; Wehrens, M. 10 1980 The continuous Legendre transform, its inverse transform, and applications. Zbl 0447.44001Butzer, Paul L.; Stens, R. L.; Wehrens, M. 9 1980 Legendre transform methods and best algebraic approximation. Zbl 0433.41010Stens, R. L.; Wehrens, M. 10 1979 Approximation by algebraic convolution integrals. Zbl 0406.41015Butzer, Paul L.; Stens, R. L.; Wehrens, M. 7 1979 Saturation classes of the Cesaro and Abel-Poisson means of Fourier- Legendre series. Zbl 0396.41010Butzer, Paul L.; Stens, R. L.; Wehrens, M. 4 1979 Best trigonometric approximation, fractional order derivatives and Lipschitz classes. Zbl 0357.26003Butzer, Paul L.; Dyckhoff, H.; Görlich, E.; Stens, R. L. 43 1977 The operational properties of the Chebyshev transform. I: General properties. Zbl 0375.44003Butzer, Paul L.; Stens, R. L. 10 1977 The operational properties of the Chebyshev transform. II: Fractional derivatives. Zbl 0491.41029Butzer, Paul L.; Stens, R. L. 2 1977 Chebyshev transform methods in the theory of best algebraic approximation. Zbl 0337.41026Butzer, Paul L.; Stens, R. L. 14 1976 all cited Publications top 5 cited Publications all top 5 Cited by 372 Authors 47 Vinti, Gianluca 41 Butzer, Paul Leo 39 Costarelli, Danilo 30 Bardaro, Carlo 27 Mantellini, Ilaria 25 Stens, Rudolf L. 19 Schmeisser, Gerhard 17 Tharwat, Mohammed M. 15 Boche, Holger 14 Angeloni, Laura 14 Annaby, Mahmoud H. 12 Kolomoitsev, Yurii S. 10 Asharabi, Rashad M. 10 Higgins, John Rowland 10 Mönich, Ullrich Johann 10 Tikhonov, Sergey Yur’evich 9 Skopina, Maria A. 8 Dodson, Michael Maurice 7 Madych, Wolodymyr R. 6 Acar, Tuncer 6 Bhrawy, Ali Hassan 6 Boccuto, Antonio 6 Ferreira, Paulo Jorge S. G. 6 Sun, Wenchang 5 Akgun, Ramazan 5 Devaraj, Ponnaian 5 Jansche, Stefan 5 Karsli, Harun 5 Krivoshein, Aleksandr Vladimirovich 5 Sambucini, Anna Rita 5 Seracini, Marco 5 Trynin, Aleksandr Yur’evich 5 Walter, Gilbert G. 5 Zayed, Ahmed I. 5 Zhou, Xingwei 4 Coroianu, Lucian C. 4 Gal, Sorin Gheorghe 4 García Guirao, Juan Luis 4 Lubinsky, Doron S. 4 Pogány, Tibor K. 4 Potapov, Mikhaĭl Konstantinovich 4 Spigler, Renato 4 Turgay, Metin 4 Zampogni, Luca 3 Agratini, Octavian 3 Alagoz, Osman 3 Alofi, Abdulaziz Saleem Moslem 3 Angamuthu, Sathish Kumar 3 Antuña, Almudena 3 Artamonov, Sergeĭ Yurievich 3 Aslan, Ismail 3 Bailey, Barbara A. 3 Bajpeyi, Shivam 3 Duman, Oktay 3 Fang, Gensun 3 Felten, Michael 3 Görlich, Ernst 3 Gröchenig, Karlheinz 3 Kivinukk, Andi 3 López, Miguel Ángel 3 Nasri-Roudsari, Gabriele 3 Nessel, Rolf Joachim 3 Pawlak, Mirosław 3 Ponnaian, Devaraj 3 Runovski, Konstantin Vsevolodovich 3 Sampath, Sivananthan 2 Abd-Alla, Mohammed Z. 2 Al-Harbi, Saleh M. 2 Aral, Ali 2 Atreas, Nikolaos D. 2 Beaty, M. G. 2 Berisha, Faton M. 2 Berrut, Jean-Paul 2 Bustamante González, Jorge 2 Candeloro, Domenico 2 Çetin, Nursel 2 Chen, Liang 2 Daher, Radouan 2 Danelia, Ana 2 Deeba, Elias Y. 2 Dimitriou, Xenofon 2 Draganov, Borislav R. 2 Dryanov, Dimiter P. 2 Faina, Loris 2 Faridani, Adel 2 Feichtinger, Hans Georg 2 Fischer, Adelheid 2 Ganzburg, Michael Iosifovich 2 Gobbi, Romina 2 Gorbachëv, Dmitriĭ Viktorovich 2 Hamm, Keaton 2 Holhoş, Adrian 2 Ivanov, Valerĭ Ivanovich 2 Klusch, Dieter 2 Kumar, Angamuthu Sathish 2 Kumar, Anuj 2 Li, Xin 2 Li, Youfa 2 Lin, Rui-Hui 2 Liu, Yongping ...and 272 more Authors all top 5 Cited in 150 Serials 44 Journal of Approximation Theory 23 Journal of Mathematical Analysis and Applications 23 Results in Mathematics 20 The Journal of Fourier Analysis and Applications 14 Applied Mathematics and Computation 14 Numerical Functional Analysis and Optimization 13 Applicable Analysis 10 Mediterranean Journal of Mathematics 9 Computers & Mathematics with Applications 9 Journal of Computational and Applied Mathematics 8 Applied and Computational Harmonic Analysis 7 Numerical Algorithms 6 Mathematische Nachrichten 6 Applied Mathematics Letters 5 Ukrainian Mathematical Journal 5 Zeitschrift für Analysis und ihre Anwendungen 5 Acta Mathematica Hungarica 5 Abstract and Applied Analysis 5 Constructive Mathematical Analysis 4 Mathematical Notes 4 Calcolo 4 Proceedings of the American Mathematical Society 4 Journal of Complexity 4 Signal Processing 4 Journal of Mathematical Sciences (New York) 4 Advances in Computational Mathematics 4 Boundary Value Problems 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Analysis and Mathematical Physics 4 Sampling Theory, Signal Processing, and Data Analysis 3 Analysis Mathematica 3 Problems of Information Transmission 3 BIT 3 Demonstratio Mathematica 3 St. Petersburg Mathematical Journal 3 Integral Transforms and Special Functions 3 Acta Mathematica et Informatica Universitatis Ostraviensis 3 Analysis and Applications (Singapore) 3 Advances in Difference Equations 2 Acta Mathematica Academiae Scientiarum Hungaricae 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 Constructive Approximation 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 The Journal of Analysis 2 Turkish Journal of Mathematics 2 Journal of Mathematical Chemistry 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Fractional Calculus & Applied Analysis 2 Advanced Nonlinear Studies 2 Computational Methods and Function Theory 2 Hacettepe Journal of Mathematics and Statistics 2 Analysis in Theory and Applications 2 Proceedings of the Estonian Academy of Sciences 2 Bulletin of Mathematical Sciences 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 Computational Physics 1 Journal of Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Physica A 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 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 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 Neural Networks 1 Multidimensional Systems and Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Pattern Recognition ...and 50 more Serials all top 5 Cited in 38 Fields 263 Approximations and expansions (41-XX) 171 Information and communication theory, circuits (94-XX) 131 Harmonic analysis on Euclidean spaces (42-XX) 64 Numerical analysis (65-XX) 57 Functional analysis (46-XX) 50 Operator theory (47-XX) 44 Real functions (26-XX) 33 Functions of a complex variable (30-XX) 28 Ordinary differential equations (34-XX) 20 Integral transforms, operational calculus (44-XX) 18 Special functions (33-XX) 15 Partial differential equations (35-XX) 14 Probability theory and stochastic processes (60-XX) 13 Sequences, series, summability (40-XX) 12 History and biography (01-XX) 10 Abstract harmonic analysis (43-XX) 7 Number theory (11-XX) 7 Computer science (68-XX) 6 Statistics (62-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-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) 1 Systems theory; control (93-XX) Citations by Year