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Schmeisser, Gerhard

Author ID: schmeisser.gerhard Recent zbMATH articles by "Schmeisser, Gerhard"
Published as: Schmeisser, Gerhard; Schmeisser, G.; Schmeißer, G.; Schmeißer, Gerhard
all top 5

Serials

11 Journal of Approximation Theory
6 Transactions of the American Mathematical Society
4 Journal of Mathematical Analysis and Applications
4 Mathematische Zeitschrift
4 Numerische Mathematik
4 Results in Mathematics
4 Sampling Theory in Signal and Image Processing
3 Mathematics of Computation
3 Canadian Journal of Mathematics
3 Constructive Approximation
2 Proceedings of the American Mathematical Society
2 Complex Variables. Theory and Application
2 Linear Algebra and its Applications
2 Advances in Computational Mathematics
2 The Journal of Fourier Analysis and Applications
2 Computational Methods and Function Theory
1 Analysis Mathematica
1 Applicable Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Calcolo
1 IEEE Transactions on Circuits and Systems
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of Mathematical Sciences (Delhi)
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Numerical Analysis
1 Studia Scientiarum Mathematicarum Hungarica
1 Mathematica Balkanica. New Series
1 Applied and Computational Harmonic Analysis
1 ETNA. Electronic Transactions on Numerical Analysis
1 Positivity
1 Fractional Calculus & Applied Analysis
1 Journal of Computational Analysis and Applications
1 Entropy
1 Complex Variables and Elliptic Equations
1 London Mathematical Society Monographs. New Series
1 Séminaire de Mathématiques Supérieures. Séminaire Scientifique OTAN (NATO Advanced Study Institute)
1 Applicable Analysis and Discrete Mathematics
1 Banach Journal of Mathematical Analysis
1 Bulletin of Mathematical Sciences
1 Bollettino dell’Unione Matematica Italiana
1 Springer Optimization and Its Applications
1 Applied and Numerical Harmonic Analysis
1 Sampling Theory, Signal Processing, and Data Analysis

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 1,375 times in 1,033 Documents Cited by Year
Analytic theory of polynomials. Zbl 1072.30006
Rahman, Q. I.; Schmeisser, G.
520
2002
Sharp integral inequalities of the Hermite-Hadamard type. Zbl 1012.26013
Guessab, Allal; Schmeisser, Gerhard
63
2002
Convexity results and sharp error estimates in approximate multivariate integration. Zbl 1119.65016
Guessab, Allal; Schmeisser, Gerhard
40
2004
Sinc approximation with a Gaussian multiplier. Zbl 1156.94326
Schmeisser, Gerhard; Stenger, Frank
40
2007
L p inequalities for polynomials. Zbl 0646.41010
Rahman, Q. I.; Schmeisser, G.
38
1988
On the derivative of a polynomial. Zbl 0408.30003
Govil, N. K.; Rahman, Q. I.; Schmeisser, G.
29
1979
Multivariate approximation by a combination of modified Taylor polynomials. Zbl 1104.65011
Guessab, Allal; Nouisser, Otheman; Schmeisser, Gerhard
22
2006
Error estimates for interpolatory quadrature formulae. Zbl 0462.41019
Brass, H.; Schmeisser, G.
22
1981
Les inégalités de Markoff et de Bernstein. Zbl 0525.30001
Rahman, Qazi Ibadur; Schmeisser, Gerhard
22
1983
Exponential sampling series: convergence in Mellin-Lebesgue spaces. Zbl 1461.41003
Bardaro, Carlo; Mantellini, Ilaria; Schmeisser, Gerhard
22
2019
On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
20
2016
The sampling theorem and several equivalent results in analysis. Zbl 1030.41010
Higgins, J. R.; Schmeisser, G.; Voss, J. J.
19
2000
\(L^ p\) inequalities for entire functions of exponential type. Zbl 0699.30022
Rahman, Qazi I.; Schmeisser, G.
19
1990
A bandlimited function simulating a duration-limited one. Zbl 0547.41016
Gervais, Robert; Rahman, Qazi Ibadur; Schmeisser, Gerhard
17
1984
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.
17
2011
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
Bemerkungen zu einer Vermutung von Ilieff. Zbl 0176.36703
Schmeisser, G.
16
1969
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.
15
2013
Sharp error estimates for interpolatory approximation on convex polytopes. Zbl 1099.41003
Guessab, Allal; Schmeisser, Gerhard
14
2005
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
A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces. Zbl 1391.44004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
12
2017
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations. Zbl 1193.65023
Guessab, Allal; Schmeisser, Gerhard
12
2010
Mellin analysis and its basic associated metric – applications to sampling theory. Zbl 1374.44001
Bardaro, C.; Butzer, P. L.; Mantellini, I.; Schmeisser, G.
12
2016
A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces. Zbl 1377.44004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
11
2017
A class of nonlinear four-point subdivision schemes. Zbl 1259.41004
Guessab, Allal; Moncayo, María; Schmeisser, Gerhard
11
2012
Two Korovkin-type theorems in multivariate approximation. Zbl 1155.41008
Guessab, Allal; Schmeisser, Gerhard
11
2008
Numerical differentiation inspired by a formula of R.P. Boas. Zbl 1208.41010
Schmeisser, Gerhard
11
2009
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.
11
2014
A real symmetric tridiagonal matrix with a given characteristic polynomial. Zbl 0793.15009
Schmeisser, Gerhard
10
1993
Enhancement of the algebraic precision of a linear operator and consequences under positivity. Zbl 1178.41016
Guessab, Allal; Nouisser, Otheman; Schmeisser, Gerhard
10
2009
A definiteness theory for cubature formulae of order two. Zbl 1101.41030
Guessab, Allal; Nouisser, Otheman; Schmeisser, Gerhard
10
2006
On Ilieff’s conjecture. Zbl 0346.30004
Schmeisser, Gerhard
9
1977
Some inequalities for polynomials with a prescribed zero. Zbl 0327.30001
Rahman, Q. I.; Schmeisser, G.
8
1976
On Bernstein’s inequality. Zbl 0408.30002
Giroux, A.; Rahman, Q. I.; Schmeisser, G.
8
1979
The definiteness of Filippi’s quadrature formulae and related problems. Zbl 0415.65015
Braß, H.; Schmeisser, G.
8
1979
The summation formulae of Poisson, Plana, Euler-Maclaurin and their relationship. Zbl 1019.65500
Rahman, Qazi Ibadur; Schmeisser, Gerhard
8
1994
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
Negative definite cubature formulae, extremality and Delaunay triangulation. Zbl 1183.41035
Guessab, Allal; Schmeisser, Gerhard
8
2010
Interconnections between multiplier methods and window methods in generalized sampling. Zbl 1228.94018
Schmeisser, Gerhard
8
2010
New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer’s 85th birthday. Zbl 1302.00086
7
2014
Praktische Mathematik. Zbl 0334.65001
Schmeisser, Gerhard; Schirmeier, Horst
7
1976
The conjectures of Sendov and Smale. Zbl 1033.30005
Schmeisser, Gerhard
7
2002
Extension of a theorem of Laguerre to entire functions of exponential type. Zbl 0616.30027
Rahman, Q. I.; Schmeisser, G.
7
1987
Characterization of the speed of convergence of the trapezoidal rule. Zbl 0693.41031
Rahman, Qazi I.; Schmeisser, Gerhard
7
1990
Zur Lage der kritischen Punkte eines Polynoms. (The position of critical points of a polynomial). Zbl 0231.30001
Schmeisser, Gerhard
7
1972
Location of the zeros of polynomials with a prescribed norm. Zbl 0292.30001
Rahman, Q. I.; Schmeisser, G.
7
1974
Development of a new concept of polar analytic functions useful in Mellin analysis. Zbl 1428.30003
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
7
2019
Majorization of the critical points of a polynomial by its zeros. Zbl 1057.30006
Schmeisser, Gerhard
6
2003
A quadrature formula for entire functions of exponential type. Zbl 0813.65054
Rahman, Qazi Ibadur; Schmeisser, Gerhard
6
1994
Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance. Zbl 1401.41020
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
6
2018
Optimale Quadraturformeln mit semidefiniten Kernen. Zbl 0238.65008
Schmeisser, Gerhard
6
1972
Rational approximation to \(e^{-x}\). II. Zbl 0386.41010
Rahman, Q. I.; Schmeisser, G.
5
1978
Representation of entire harmonic functions by given values. Zbl 0594.31003
Rahman, Q. I.; Schmeisser, G.
5
1986
Quadrature formulae and functions of exponential type. Zbl 0682.41035
Rahman, Qazi I.; Schmeisser, Gerhard
5
1990
Markov-Duffin-Schaeffer inequality for polynomials with a circular majorant. Zbl 0707.26011
Rahman, Q. I.; Schmeisser, G.
5
1988
Necessary and sufficient conditions for the validity of Jensen’s inequality. Zbl 1280.26027
Guessab, A.; Schmeisser, G.
5
2013
Characterizations of uniform convexity for differentiable functions. Zbl 1499.26044
Guessab, Allal; Alabdali, Osama; Schmeisser, Gerhard
5
2019
Characterization of entire functions via quadrature. Zbl 0770.30023
Rahman, Qazi Ibadur; Schmeisser, Gerhard
4
1992
An extremal problem for polynomials with a prescribed zero. II. Zbl 0371.30001
Rahman, Q. I.; Schmeisser, G.
4
1979
Simultaneous interpolation and approximation. Zbl 0407.41009
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
4
1979
On a Gaussian quadrature formula for entire functions of exponential type. Zbl 0622.41013
Rahman, Q. I.; Schmeisser, G.
4
1987
Reconstruction and approximation of functions from samples. Zbl 0566.41035
Rahman, Q. I.; Schmeisser, G.
4
1985
Construction of unitary and normal companion matrices. Zbl 0816.65022
Dörfler, P.; Schmeisser, G.
4
1994
Representation and approximation of functions via (0,2)-interpolation. Zbl 0614.41001
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
4
1987
Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting. Zbl 1469.30085
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
3
2020
Simultaneous interpolation and approximation by entire functions of exponential type. Zbl 0405.41012
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
3
1978
Markoff type inequalities for curved majorants. Zbl 0622.41008
Rahman, Q. I.; Schmeisser, G.
3
1987
Converse theorems in the theory of approximate integration. Zbl 0699.41030
Dryanov, D. P.; Rahman, Q. I.; Schmeisser, G.
3
1990
Inequalities for the zeros of an orthogonal expansion of a polynomial. Zbl 0899.30006
Schmeisser, G.
3
1998
Approximation of entire functions of exponential type by trigonometric polynomials. Zbl 1156.30302
Schmeisser, G.
3
2007
Valiron’s interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions. Zbl 1473.30022
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
3
2020
A general approach to the construction of nonconforming finite elements on convex polytopes. Zbl 1410.65439
Achchab, Boujemâa; Bouihat, Khalid; Guessab, Allal; Schmeisser, Gerhard
3
2015
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
Progress in approximation theory and applicable complex analysis. In memory of Q.I. Rahman. Zbl 1371.41002
2
2017
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
Rational approximation to \(e^{-x}\). Zbl 0406.41009
Rahman, Q. I.; Schmeisser, G.
2
1978
Approximation by (0,2)-interpolating entire functions of exponential type. Zbl 0469.30027
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
2
1981
Characterization of functions in terms of rate of convergence of a quadrature process. Zbl 0722.41031
Rahman, Q. I.; Schmeisser, G.
2
1991
Characterization of functions in terms of rate of convergence of a quadrature process. II: Case of non-periodic functions. Zbl 0767.41034
Rahman, Q. I.; Schmeisser, G.
1
1992
On rational approximation on the positive real axis. Zbl 0346.41010
Rahman, Q. I.; Schmeisser, G.
1
1977
Inequalities for polynomials on the unit interval. Zbl 0369.30001
Rahman, Q. I.; Schmeisser, G.
1
1977
On a phenomenon concerning (0,2)-interpolation. Zbl 0401.41003
Rahman, Q. I.; Schmeisser, G.; Turán, Pál
1
1978
Polar-analytic functions: old and new results, applications. Zbl 1486.30004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
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
Sharp inequalities for the zeros of polynomials and power series. Zbl 1071.30002
Schmeisser, G.
1
2001
Orthogonal expansion and variations of sign of continuous functions. Zbl 0916.42021
Schmeisser, Gerhard
1
1998
A representation for the remainder of the Maclaurin quadrature formula. Zbl 0362.65015
Schmeisser, Gerhard
1
1977
Equivalence theorems for quadrature on the real line. Zbl 0654.41026
Dryanov, D. P.; Rahman, Q. I.; Schmeisser, G.
1
1988
PLSI polynomials: Stabilization of 2-D recursive filters. Zbl 0604.93022
Raghuramireddy, D.; Schmeisser, G.; Unbehauen, R.
1
1986
Estimates for the imaginary parts of the zeros of a polynomial. Zbl 1043.30004
Schmeisser, Gerhard
1
2002
On polynomials with curved majorants. Zbl 0689.41009
Pierre, R.; Rahman, Q. I.; Schmeisser, G.
1
1989
A new interpretation of the sampling theorem and its extensions. Zbl 1126.94318
Schmeisser, Gerhard; Voss, Jürgen J.
1
1997
Nonuniform sampling of complex-valued harmonic functions. Zbl 1136.31301
Schmeisser, Gerhard
1
2003
A quadrature formula of infinite order. Zbl 0493.41033
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
1
1982
Polar-analytic functions: old and new results, applications. Zbl 1486.30004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
1
2022
Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting. Zbl 1469.30085
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
3
2020
Valiron’s interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions. Zbl 1473.30022
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
3
2020
Exponential sampling series: convergence in Mellin-Lebesgue spaces. Zbl 1461.41003
Bardaro, Carlo; Mantellini, Ilaria; Schmeisser, Gerhard
22
2019
Development of a new concept of polar analytic functions useful in Mellin analysis. Zbl 1428.30003
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
7
2019
Characterizations of uniform convexity for differentiable functions. Zbl 1499.26044
Guessab, Allal; Alabdali, Osama; Schmeisser, Gerhard
5
2019
Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance. Zbl 1401.41020
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
6
2018
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 fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces. Zbl 1391.44004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
12
2017
A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces. Zbl 1377.44004
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
11
2017
Progress in approximation theory and applicable complex analysis. In memory of Q.I. Rahman. Zbl 1371.41002
2
2017
On the Paley-Wiener theorem in the Mellin transform setting. Zbl 1338.44006
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard
20
2016
Mellin analysis and its basic associated metric – applications to sampling theory. Zbl 1374.44001
Bardaro, C.; Butzer, P. L.; Mantellini, I.; Schmeisser, G.
12
2016
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
A general approach to the construction of nonconforming finite elements on convex polytopes. Zbl 1410.65439
Achchab, Boujemâa; Bouihat, Khalid; Guessab, Allal; Schmeisser, Gerhard
3
2015
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.
11
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
New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer’s 85th birthday. Zbl 1302.00086
7
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.
15
2013
Necessary and sufficient conditions for the validity of Jensen’s inequality. Zbl 1280.26027
Guessab, A.; Schmeisser, G.
5
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
A class of nonlinear four-point subdivision schemes. Zbl 1259.41004
Guessab, Allal; Moncayo, María; Schmeisser, Gerhard
11
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.
17
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
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations. Zbl 1193.65023
Guessab, Allal; Schmeisser, Gerhard
12
2010
Negative definite cubature formulae, extremality and Delaunay triangulation. Zbl 1183.41035
Guessab, Allal; Schmeisser, Gerhard
8
2010
Interconnections between multiplier methods and window methods in generalized sampling. Zbl 1228.94018
Schmeisser, Gerhard
8
2010
Numerical differentiation inspired by a formula of R.P. Boas. Zbl 1208.41010
Schmeisser, Gerhard
11
2009
Enhancement of the algebraic precision of a linear operator and consequences under positivity. Zbl 1178.41016
Guessab, Allal; Nouisser, Otheman; Schmeisser, Gerhard
10
2009
Two Korovkin-type theorems in multivariate approximation. Zbl 1155.41008
Guessab, Allal; Schmeisser, Gerhard
11
2008
Sinc approximation with a Gaussian multiplier. Zbl 1156.94326
Schmeisser, Gerhard; Stenger, Frank
40
2007
Approximation of entire functions of exponential type by trigonometric polynomials. Zbl 1156.30302
Schmeisser, G.
3
2007
Multivariate approximation by a combination of modified Taylor polynomials. Zbl 1104.65011
Guessab, Allal; Nouisser, Otheman; Schmeisser, Gerhard
22
2006
A definiteness theory for cubature formulae of order two. Zbl 1101.41030
Guessab, Allal; Nouisser, Otheman; Schmeisser, Gerhard
10
2006
Sharp error estimates for interpolatory approximation on convex polytopes. Zbl 1099.41003
Guessab, Allal; Schmeisser, Gerhard
14
2005
Convexity results and sharp error estimates in approximate multivariate integration. Zbl 1119.65016
Guessab, Allal; Schmeisser, Gerhard
40
2004
Majorization of the critical points of a polynomial by its zeros. Zbl 1057.30006
Schmeisser, Gerhard
6
2003
Nonuniform sampling of complex-valued harmonic functions. Zbl 1136.31301
Schmeisser, Gerhard
1
2003
Analytic theory of polynomials. Zbl 1072.30006
Rahman, Q. I.; Schmeisser, G.
520
2002
Sharp integral inequalities of the Hermite-Hadamard type. Zbl 1012.26013
Guessab, Allal; Schmeisser, Gerhard
63
2002
The conjectures of Sendov and Smale. Zbl 1033.30005
Schmeisser, Gerhard
7
2002
Estimates for the imaginary parts of the zeros of a polynomial. Zbl 1043.30004
Schmeisser, Gerhard
1
2002
Sharp inequalities for the zeros of polynomials and power series. Zbl 1071.30002
Schmeisser, G.
1
2001
The sampling theorem and several equivalent results in analysis. Zbl 1030.41010
Higgins, J. R.; Schmeisser, G.; Voss, J. J.
19
2000
Inequalities for the zeros of an orthogonal expansion of a polynomial. Zbl 0899.30006
Schmeisser, G.
3
1998
Orthogonal expansion and variations of sign of continuous functions. Zbl 0916.42021
Schmeisser, Gerhard
1
1998
A new interpretation of the sampling theorem and its extensions. Zbl 1126.94318
Schmeisser, Gerhard; Voss, Jürgen J.
1
1997
The summation formulae of Poisson, Plana, Euler-Maclaurin and their relationship. Zbl 1019.65500
Rahman, Qazi Ibadur; Schmeisser, Gerhard
8
1994
A quadrature formula for entire functions of exponential type. Zbl 0813.65054
Rahman, Qazi Ibadur; Schmeisser, Gerhard
6
1994
Construction of unitary and normal companion matrices. Zbl 0816.65022
Dörfler, P.; Schmeisser, G.
4
1994
A real symmetric tridiagonal matrix with a given characteristic polynomial. Zbl 0793.15009
Schmeisser, Gerhard
10
1993
Characterization of entire functions via quadrature. Zbl 0770.30023
Rahman, Qazi Ibadur; Schmeisser, Gerhard
4
1992
Characterization of functions in terms of rate of convergence of a quadrature process. II: Case of non-periodic functions. Zbl 0767.41034
Rahman, Q. I.; Schmeisser, G.
1
1992
Characterization of functions in terms of rate of convergence of a quadrature process. Zbl 0722.41031
Rahman, Q. I.; Schmeisser, G.
2
1991
\(L^ p\) inequalities for entire functions of exponential type. Zbl 0699.30022
Rahman, Qazi I.; Schmeisser, G.
19
1990
Characterization of the speed of convergence of the trapezoidal rule. Zbl 0693.41031
Rahman, Qazi I.; Schmeisser, Gerhard
7
1990
Quadrature formulae and functions of exponential type. Zbl 0682.41035
Rahman, Qazi I.; Schmeisser, Gerhard
5
1990
Converse theorems in the theory of approximate integration. Zbl 0699.41030
Dryanov, D. P.; Rahman, Q. I.; Schmeisser, G.
3
1990
On polynomials with curved majorants. Zbl 0689.41009
Pierre, R.; Rahman, Q. I.; Schmeisser, G.
1
1989
L p inequalities for polynomials. Zbl 0646.41010
Rahman, Q. I.; Schmeisser, G.
38
1988
Markov-Duffin-Schaeffer inequality for polynomials with a circular majorant. Zbl 0707.26011
Rahman, Q. I.; Schmeisser, G.
5
1988
Equivalence theorems for quadrature on the real line. Zbl 0654.41026
Dryanov, D. P.; Rahman, Q. I.; Schmeisser, G.
1
1988
Extension of a theorem of Laguerre to entire functions of exponential type. Zbl 0616.30027
Rahman, Q. I.; Schmeisser, G.
7
1987
On a Gaussian quadrature formula for entire functions of exponential type. Zbl 0622.41013
Rahman, Q. I.; Schmeisser, G.
4
1987
Representation and approximation of functions via (0,2)-interpolation. Zbl 0614.41001
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
4
1987
Markoff type inequalities for curved majorants. Zbl 0622.41008
Rahman, Q. I.; Schmeisser, G.
3
1987
Representation of entire harmonic functions by given values. Zbl 0594.31003
Rahman, Q. I.; Schmeisser, G.
5
1986
PLSI polynomials: Stabilization of 2-D recursive filters. Zbl 0604.93022
Raghuramireddy, D.; Schmeisser, G.; Unbehauen, R.
1
1986
Reconstruction and approximation of functions from samples. Zbl 0566.41035
Rahman, Q. I.; Schmeisser, G.
4
1985
A bandlimited function simulating a duration-limited one. Zbl 0547.41016
Gervais, Robert; Rahman, Qazi Ibadur; Schmeisser, Gerhard
17
1984
Les inégalités de Markoff et de Bernstein. Zbl 0525.30001
Rahman, Qazi Ibadur; Schmeisser, Gerhard
22
1983
A quadrature formula of infinite order. Zbl 0493.41033
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
1
1982
Error estimates for interpolatory quadrature formulae. Zbl 0462.41019
Brass, H.; Schmeisser, G.
22
1981
Approximation by (0,2)-interpolating entire functions of exponential type. Zbl 0469.30027
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
2
1981
On the derivative of a polynomial. Zbl 0408.30003
Govil, N. K.; Rahman, Q. I.; Schmeisser, G.
29
1979
On Bernstein’s inequality. Zbl 0408.30002
Giroux, A.; Rahman, Q. I.; Schmeisser, G.
8
1979
The definiteness of Filippi’s quadrature formulae and related problems. Zbl 0415.65015
Braß, H.; Schmeisser, G.
8
1979
An extremal problem for polynomials with a prescribed zero. II. Zbl 0371.30001
Rahman, Q. I.; Schmeisser, G.
4
1979
Simultaneous interpolation and approximation. Zbl 0407.41009
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
4
1979
Rational approximation to \(e^{-x}\). II. Zbl 0386.41010
Rahman, Q. I.; Schmeisser, G.
5
1978
Simultaneous interpolation and approximation by entire functions of exponential type. Zbl 0405.41012
Gervais, R.; Rahman, Q. I.; Schmeisser, G.
3
1978
Rational approximation to \(e^{-x}\). Zbl 0406.41009
Rahman, Q. I.; Schmeisser, G.
2
1978
On a phenomenon concerning (0,2)-interpolation. Zbl 0401.41003
Rahman, Q. I.; Schmeisser, G.; Turán, Pál
1
1978
On Ilieff’s conjecture. Zbl 0346.30004
Schmeisser, Gerhard
9
1977
On rational approximation on the positive real axis. Zbl 0346.41010
Rahman, Q. I.; Schmeisser, G.
1
1977
Inequalities for polynomials on the unit interval. Zbl 0369.30001
Rahman, Q. I.; Schmeisser, G.
1
1977
A representation for the remainder of the Maclaurin quadrature formula. Zbl 0362.65015
Schmeisser, Gerhard
1
1977
Some inequalities for polynomials with a prescribed zero. Zbl 0327.30001
Rahman, Q. I.; Schmeisser, G.
8
1976
Praktische Mathematik. Zbl 0334.65001
Schmeisser, Gerhard; Schirmeier, Horst
7
1976
Location of the zeros of polynomials with a prescribed norm. Zbl 0292.30001
Rahman, Q. I.; Schmeisser, G.
7
1974
Zur Lage der kritischen Punkte eines Polynoms. (The position of critical points of a polynomial). Zbl 0231.30001
Schmeisser, Gerhard
7
1972
Optimale Quadraturformeln mit semidefiniten Kernen. Zbl 0238.65008
Schmeisser, Gerhard
6
1972
Bemerkungen zu einer Vermutung von Ilieff. Zbl 0176.36703
Schmeisser, G.
16
1969
all top 5

Cited by 1,000 Authors

45 Mir, Abdullah
43 Schmeisser, Gerhard
29 Guessab, Allal
26 Butzer, Paul Leo
26 Rather, Nisar Ahmad
23 Rahman, Qazi Ibadur
21 Mantellini, Ilaria
19 Bardaro, Carlo
18 Melman, Aaron
17 Asharabi, Rashad M.
17 Shah, Wali Mohammad
15 Sendov, Hristo S.
13 Brändén, Petter
13 Gulzar, Suhail
13 Stens, Rudolf L.
12 Fournier, Richard
12 Milovanović, Gradimir V.
11 Sendov, Blagovest Khristov
11 Tharwat, Mohammed M.
10 Chanam, Barchand
10 Dar, Ishfaq Ahmad
10 Noor, Muhammad Aslam
10 Nouisser, Otheman
10 Qazi, Mohammed A.
9 Di Tommaso, Filomena
9 Hussain, Adil
9 Liman, Abdul
9 Nazir, Ishfaq
9 Trynin, Aleksandr Yur’evich
9 Wani, Irfan Ahmad
8 Borcea, Julius
8 Dell’Accio, Francesco
8 Dragomir, Sever Silvestru
8 Kostov, Vladimir Petrov
8 Mir, Mohammad Ibrahim
8 Nikolov, Geno P.
8 Noor, Khalida Inayat
8 Ruscheweyh, Stephan
8 Yáñez, Dionisio F.
7 Amat Plata, Sergio
7 Annaby, Mahmoud H.
7 Bajpeyi, Shivam
7 Pečarić, Josip
7 Zargar, Bashir Ahmad
7 Zhang, Philip B.
6 Ahmad, Abrar
6 Alomari, Mohammad Wajeeh
6 Arestov, Vitaliĭ Vladimirovich
6 Aziz, Abdul
6 Białas-Cież, Leokadia
6 Costarelli, Danilo
6 Dodson, Michael Maurice
6 Dubinin, Vladimir N.
6 Erdélyi, Tamás
6 Higgins, John Rowland
6 Ng, Tuen-Wai
6 Norvidas, Saulius
6 Nwaeze, Eze Raymond
6 Rojas, J. Maurice
6 Trillo, Juan Carlos
5 Acar, Tuncer
5 Awan, Muhammad Uzair
5 Bidkham, Mahmood
5 Brass, Helmut
5 Chu, Yuming
5 Dimitrov, Dimitar K.
5 Frappier, Clément
5 Govil, Narendra Kumar
5 Kalmykov, Sergeĭ Ivanovich
5 Kumar, Angamuthu Sathish
5 Lamprecht, Martin
5 Li, Xin
5 Notaris, Sotirios E.
5 Pijeira-Cabrera, Héctor
5 Pritsker, Igor E.
5 Starkov, Victor V.
5 Vinti, Gianluca
5 Wang, Larry X. W.
4 Ali, Liyaqat
4 Barrera, Domingo
4 Batra, Prashant
4 Bhat, Aijaz Ahmad
4 Boche, Holger
4 Boyanov, Borislav Dechev
4 Dalal, Aseem
4 Deikalova, Marina Valer’evna
4 Devi, Khangembam Babina
4 Devi, Maisnam Triveni
4 Dewan, Kum Kum
4 Dryanov, Dimiter P.
4 Ferreira, Paulo Jorge S. G.
4 Gulzar, Manzoor Hussain
4 Ha Huy Bang
4 Hans, Sunil
4 Hussain, Imtiaz
4 Huy, Vu Nhat
4 Ibáñez, María J.
4 Khan, Muhammad Adil
4 Kompaneets, E. G.
4 Krishnadas, Kshetrimayum
...and 900 more Authors
all top 5

Cited in 293 Serials

63 Journal of Mathematical Analysis and Applications
59 Journal of Approximation Theory
33 Proceedings of the American Mathematical Society
27 Journal of Computational and Applied Mathematics
23 Linear Algebra and its Applications
22 Applied Mathematics and Computation
22 Journal of Inequalities and Applications
20 Computational Methods and Function Theory
17 Results in Mathematics
16 Constructive Approximation
15 Acta Mathematica Hungarica
15 The Journal of Analysis
14 Numerical Algorithms
13 Journal of Classical Analysis
11 Mathematics of Computation
11 Numerische Mathematik
11 AIMS Mathematics
9 Transactions of the American Mathematical Society
9 Mediterranean Journal of Mathematics
8 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
8 Journal of Mathematical Sciences (New York)
8 Analysis and Mathematical Physics
8 Korean Journal of Mathematics
7 Analysis Mathematica
7 Mathematical Notes
7 Journal of Symbolic Computation
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Applicable Analysis and Discrete Mathematics
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Sampling Theory, Signal Processing, and Data Analysis
6 American Mathematical Monthly
6 Bulletin of the Australian Mathematical Society
6 Linear and Multilinear Algebra
6 Rocky Mountain Journal of Mathematics
6 Publications de l’Institut Mathématique. Nouvelle Série
6 The Journal of Fourier Analysis and Applications
6 Mathematical Inequalities & Applications
6 Nonlinear Functional Analysis and Applications
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Problemy Analiza. Issues of Analysis
5 Journal d’Analyse Mathématique
5 Periodica Mathematica Hungarica
5 Numerical Functional Analysis and Optimization
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Siberian Mathematical Journal
5 Advances in Applied Mathematics
5 St. Petersburg Mathematical Journal
5 Filomat
5 Abstract and Applied Analysis
5 Applied Mathematics E-Notes
5 Complex Variables and Elliptic Equations
5 Complex Analysis and Operator Theory
4 Computers & Mathematics with Applications
4 Discrete Mathematics
4 Indian Journal of Pure & Applied Mathematics
4 Mathematical Methods in the Applied Sciences
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 BIT
4 Functiones et Approximatio. Commentarii Mathematici
4 Journal of Number Theory
4 Mathematische Nachrichten
4 Mathematische Zeitschrift
4 Applied Numerical Mathematics
4 Russian Mathematics
4 Applied and Computational Harmonic Analysis
4 ETNA. Electronic Transactions on Numerical Analysis
4 Proceedings of the Steklov Institute of Mathematics
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
3 Communications in Algebra
3 Journal of Computational Physics
3 Lithuanian Mathematical Journal
3 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
3 Archiv der Mathematik
3 Mathematics and Computers in Simulation
3 Proceedings of the Japan Academy. Series A
3 Theoretical Computer Science
3 Applied Mathematics Letters
3 International Journal of Computer Mathematics
3 Expositiones Mathematicae
3 Integral Transforms and Special Functions
3 Journal of Difference Equations and Applications
3 International Journal of Geometric Methods in Modern Physics
3 Advances in Difference Equations
3 Cubo
3 Journal of Mathematical Inequalities
2 Communications in Mathematical Physics
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Letters in Mathematical Physics
2 Ukrainian Mathematical Journal
2 Advances in Mathematics
2 Annales Polonici Mathematici
2 Calcolo
2 Colloquium Mathematicum
2 Computing
2 Czechoslovak Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Pure and Applied Algebra
2 Mathematica Slovaca
...and 193 more Serials
all top 5

Cited in 55 Fields

470 Functions of a complex variable (30-XX)
274 Approximations and expansions (41-XX)
213 Real functions (26-XX)
169 Numerical analysis (65-XX)
93 Harmonic analysis on Euclidean spaces (42-XX)
84 Information and communication theory, circuits (94-XX)
59 Linear and multilinear algebra; matrix theory (15-XX)
51 Combinatorics (05-XX)
51 Field theory and polynomials (12-XX)
46 Number theory (11-XX)
46 Operator theory (47-XX)
40 Functional analysis (46-XX)
38 Special functions (33-XX)
30 Probability theory and stochastic processes (60-XX)
25 Ordinary differential equations (34-XX)
23 Potential theory (31-XX)
19 Several complex variables and analytic spaces (32-XX)
18 Partial differential equations (35-XX)
18 Integral transforms, operational calculus (44-XX)
16 Convex and discrete geometry (52-XX)
14 Algebraic geometry (14-XX)
14 Computer science (68-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Quantum theory (81-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Statistics (62-XX)
8 Operations research, mathematical programming (90-XX)
7 Difference and functional equations (39-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 History and biography (01-XX)
6 Sequences, series, summability (40-XX)
6 Systems theory; control (93-XX)
5 Measure and integration (28-XX)
5 Biology and other natural sciences (92-XX)
4 Commutative algebra (13-XX)
4 Abstract harmonic analysis (43-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Fluid mechanics (76-XX)
4 Relativity and gravitational theory (83-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Differential geometry (53-XX)
2 Mathematical logic and foundations (03-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Integral equations (45-XX)
2 Mechanics of deformable solids (74-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year