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## Schoenberg, Isaac Jacob

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 Author ID: schoenberg.isaac-jacob Published as: Schoenberg, I.; Schoenberg, I. J.; Schoenberg, Isaac J.; Schoenberg, Isac External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 223 Publications since 1928, including 8 Books Biographic References: 4 Publications
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#### Co-Authors

 166 single-authored 7 Sharma, Ambikeshwar 6 Bliss, Gilbert Ames 5 Whitney, Anne 3 Greville, Thomas Nall Eden 3 Hildebrandt, Theophil Henry 3 Motzkin, Theodore Samuel 3 von Neumann, John 2 Aissen, Michael I. 2 Besicovitch, Abram S. 2 de Boor, Carl 2 Goodman, Adolph-W. 2 Rademacher, Hans Adolph 2 Silliman, Sherwood D. 1 Askey, Richard Allen 1 Cavaretta, Alfred S. jun. 1 Crowe, Donald W. 1 Cunningham, F. jun. 1 Curry, Haskell Brooks 1 Edrei, Albert 1 Einhorn, S. J. 1 Epstein, Bernard 1 Goodman, Timothy N. T. 1 Karlin, Samuel 1 Lipow, Peter R. 1 Mairhuber, John C. 1 Marsden, Martin J. 1 Micchelli, Charles A. 1 Newman, Donald J. 1 Pinkus, Allan M. 1 Pisot, Charles 1 Pollin, Jack M. 1 Pólya, George 1 Richards, Franklin B. 1 Seidel, W. P. 1 Szegő, Gábor 1 Williamson, Richard Edmund 1 Yang, Chung-Tao 1 Zaremba, Stanislaw Krystyn 1 Ziegler, Zvi
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#### Serials

 40 Bulletin of the American Mathematical Society 14 Annals of Mathematics. Second Series 13 Transactions of the American Mathematical Society 10 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 9 American Mathematical Monthly 8 Journal d’Analyse Mathématique 7 Proceedings of the National Academy of Sciences of the United States of America 6 Journal of Approximation Theory 5 Journal of Mathematical Analysis and Applications 5 Mathematische Zeitschrift 4 Israel Journal of Mathematics 4 Canadian Journal of Mathematics 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Linear Algebra and its Applications 3 Mathematica 2 Mathematics Magazine 2 Acta Mathematica 2 American Journal of Mathematics 2 Illinois Journal of Mathematics 2 Indagationes Mathematicae 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Simon Stevin 2 Studia Scientiarum Mathematicarum Hungarica 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Journal of the London Mathematical Society 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea Ia. Matematică-Informatică 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Fibonacci Quarterly 1 Geometriae Dedicata 1 Mathematika 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Libertas Mathematica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Honam Mathematical Journal 1 Journal of Mathematics and Mechanics 1 Annals of the New York Academy of Sciences 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis
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#### Fields

 46 Approximations and expansions (41-XX) 11 Numerical analysis (65-XX) 10 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 6 Number theory (11-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

162 Publications have been cited 4,014 times in 3,010 Documents Cited by Year
The integrability of certain functions and related summability methods. I, II. Zbl 0089.04002
Schoenberg, I. J.
1959
Positive definite functions on spheres. Zbl 0063.06808
Schoenberg, I. J.
1942
Cardinal spline interpolation. Zbl 0264.41003
Schoenberg, I. J.
1973
Metric spaces and completely monotone functions. JFM 64.0617.03
Schoenberg, I. J.
1938
Metric spaces and positive definite functions. Zbl 0019.41502
Schoenberg, I. J.
1938
On Polya frequency functions. IV: The fundamental spline functions and their limits. Zbl 0146.08404
Curry, H. B.; Schoenberg, I. J.
1966
Metric spaces and completely monontone functions. Zbl 0019.41503
Schoenberg, I. J.
1938
Contributions to the problem of approximation of equidistant data by analytic functions. Part A: On the problem of smoothing or graduation. A first class of analytic approximation formulae. Part B: On the problem of osculatory interpolation. A second class of analytic approximation formulae. Zbl 0061.28804
Schoenberg, I. J.
1946
The relaxation method for linear inequalities. Zbl 0055.35002
Motzkin, T. S.; Schoenberg, I. J.
1954
Remarks to Maurice Frechet’s article “Sur la definition axiomatique d’une classe d’espaces vectoriels distancies applicables vectoriellement sur l’espace de Hilbert”. Zbl 0012.30703
Schoenberg, I. J.
1935
Metric spaces and positive definite functions. JFM 64.0617.02
Schoenberg, I. J.
1938
Cardinal interpolation and spline functions. Zbl 0202.34803
Schoenberg, I. J.
1969
On Pólya frequency functions. I. The totally positive functions and their Laplace transforms. Zbl 0045.37602
Schoenberg, I. J.
1951
Spline functions and the problem of graduation. Zbl 0147.32102
Schoenberg, I. J.
1964
On Hermite-Birkhoff interpolation. Zbl 0156.28702
Schoenberg, I. J.
1966
Remarks on de la Vallée Poussin means and convex conformal maps of the circle. Zbl 0084.27901
Pólya, George; Schoenberg, I. J.
1958
On Pólya frequency functions. III. The positivity of translation determinants with an application to the interpolation problem by spline curves. Zbl 0051.33606
Schoenberg, I. J.; Whitney, Anne
1953
On trigonometric spline interpolation. Zbl 0147.32104
Schoenberg, I. J.
1964
On the generating functions of totally positive sequences. I. Zbl 0049.17201
Aissen, Michael; Schoenberg, I. J.; Whitney, A. M.
1952
Über variationsvermindernde lineare Transformationen. JFM 56.0106.06
Schoenberg, I.
1930
On interpolation by spline functions and its minimal properties. Zbl 0147.32101
Schoenberg, I. J.
1964
Cardinal interpolation and spline functions. II: Interpolation of data of power growth. Zbl 0268.41004
Schoenberg, I. J.
1972
On variation diminishing spline approximation methods. Zbl 0171.31001
Marsden, M.; Schoenberg, I. J.
1966
Fourier integrals and metric geometry. Zbl 0028.41002
von Neumann, J.; Schoenberg, I. J.
1941
On monosplines of least deviation and best quadrature formulae. Zbl 0136.36203
Schoenberg, I. J.
1965
Über die asymptotische Verteilung reeller Zahlen mod 1. JFM 54.0212.02
Schoenberg, Isac
1928
On best approximations of linear operators. Zbl 0146.08501
Schoenberg, I. J.
1964
A remark on M. M. Day’s characterization of inner-product spaces and a conjecture of L. M. Blumenthal. Zbl 0049.08301
Schoenberg, I. J.
1952
On the generating functions of totally positive sequences. Zbl 0042.29205
Aissen, Michael; Edrei, Albert; Schoenberg, I. J.; Whitney, Anne
1951
On linear functional operations and the moment problem for a finite interval in one or several dimensions. Zbl 0006.40204
Hildebrandt, T. H.; Schoenberg, I. J.
1933
Remarks to Maurice Fréchet’s article “Sur la définition axiomatique d’une classe d’espaces vectoriels distanciés applicables vectoriellement sur l’espace de Hilbert. JFM 61.0435.04
Schoenberg, I. J.
1935
On monosplines of least square deviation and best quadrature formulae. II. Zbl 0147.32103
Schoenberg, I. J.
1966
On Euclidean sets having only two distances between points. I, II. Zbl 0145.17103
Einhorn, S. J.; Schoenberg, I. J.
1966
The finite Fourier series and elementary geometry. Zbl 0038.35602
Schoenberg, I. J.
1950
The elementary cases of Landau’s problem of inequalities between derivatives. Zbl 0261.26014
Schoenberg, I. J.
1973
Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation. Zbl 0246.41015
Lipow, Peter R.; Schoenberg, I. J.
1973
On the Ahlberg-Nilson extension of spline interpolation: The $$g$$-splines and their optimal properties. Zbl 0159.08401
Schoenberg, I. J.
1968
Spline interpolation and the higher derivations. Zbl 0136.36201
Schoenberg, I. J.
1964
On variation diminshing approximation methods. Zbl 0083.28902
Schoenberg, I. J.
1959
Cardinal interpolation and spline functions VIII. The Budan-Fourier theorem for splines and applications. Zbl 0319.41010
de Boor, Carl; Schoenberg, I. J.
1976
Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity. Zbl 0272.41005
Schoenberg, I. J.
1973
On the unicity of solutions of problems of best approximations. Zbl 0099.04602
Schoenberg, I. J.; Yang, C. T.
1961
Spline functions, convex curves and mechanical quadrature. Zbl 0085.33701
Schoenberg, I. J.
1958
A remark on the preceding note by Bochner. Zbl 0009.24704
Schoenberg, I. J.
1934
Monosplines and quadrature formulae. Zbl 0203.37002
Schoenberg, I. J.
1969
On the zeros of the generating functions of multiply positive sequences and functions. Zbl 0065.34301
Schoenberg, I. J.
1955
On totally positive functions, Laplace integrals and entire functions of the Laguerre-Polya-Schur type. Zbl 0029.36601
Schoenberg, I. J.
1947
Studies in spline functions and approximation theory. Zbl 0323.00007
Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J.
1976
Solution of Landaus’ problem concerning higher derivatives on the halfline. Zbl 0229.41004
Schoenberg, I. J.; Cavaretta, A.
1972
A second look at approximate quadrature formulae and spline interpolation. Zbl 0215.17504
Schoenberg, I. J.
1970
On smoothing operations and their generating functions. Zbl 0050.28703
Schoenberg, I. J.
1953
On semicardinal quadrature formulae. Zbl 0284.65011
Schoenberg, I. J.; Silliman, S. D.
1974
Splines and histograms. Zbl 0274.41004
Schoenberg, I. J.
1973
Notes on spline functions. I: The limits of the interpolating periodic spline functions as their degree tends to infinity. Zbl 0271.41004
Schoenberg, I. J.
1972
Spline interpolation and best quadrature formulae. Zbl 0136.36202
Schoenberg, I. J.
1964
On Polya frequency functions. II: Variation-diminishing integral operators of the convolution type. Zbl 0035.35201
Schoenberg, I. J.
1950
On certain two-point expansions of integral functions of exponential type. Zbl 0014.02501
Schoenberg, I. J.
1936
Cardinal interpolation and spline functions. IV: The exponential Euler splines. Zbl 0269.41002
Schoenberg, I. J.
1972
The perfect B-splines and a time-optimal control problem. Zbl 0273.41006
Schoenberg, I. J.
1971
An isoperimetric inequality for closed curves convex in even-dimensional Euclidean spaces. Zbl 0056.15705
Schoenberg, I. J.
1954
Mathematical time exposures. Zbl 0519.00002
Schoenberg, Isaac J.
1982
A note on the cyclotomic polynomial. Zbl 0132.25601
Schoenberg, I. J.
1964
On variation diminishing transformations on the circle. Zbl 0147.10603
Mairhuber, J. C.; Schoenberg, I. J.; Williamson, R. E.
1959
On a theorem of Kirzbraun and Valentine. Zbl 0053.12201
Schoenberg, I. J.
1953
Fourier integrals and metric geometry. JFM 67.0692.01
von Neumann, J.; Schoenberg, I. J.
1941
Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov. Zbl 0278.41011
Richards, F. B.; Schoenberg, I. J.
1973
On the remainders and the convergence of cardinal spline interpolation for almost periodic functions. Zbl 0338.41007
Schoenberg, I. J.
1976
Cardinal interpolation and spline functions. VII: The behavior of cardinal spline interpolants as their degree tends to infinity. Zbl 0303.41008
Schoenberg, I. J.
1974
Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae. Zbl 0297.41001
Schoenberg, I. J.
1974
Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation. Zbl 0278.41010
Schoenberg, I. J.; Sharma, A.
1973
Helly’s theorems on convex domains and Tschebyscheff’s approximation problem. Zbl 0036.23703
1950
On variation-diminishing integral operators of the convolution type. Zbl 0036.20301
Schoenberg, I. J.
1948
A conjectured analogue of Rolle’s theorem for polynomials with real or complex coefficients. Zbl 0627.30001
Schoenberg, I. J.
1986
Hausdorff’s moment problem and expansions in Legendre polynomials. Zbl 0483.44012
Askey, R.; Schoenberg, I. J.; Sharma, A.
1982
On polynomial interpolation at the points of a geometric progression. Zbl 0506.41003
Schoenberg, I. J.
1981
Schoenberg, I. J.
1969
An extremum problem for polynomials. Zbl 0097.04902
Schoenberg, I. J.; Szegö, Gábor
1960
Zur Abzählung der reellen Wurzeln algebraischer Gleichungen. Zbl 0009.00401
Schoenberg, I. J.
1934
On Micchelli’s theory of cardinal $$\mathcal L$$-splines. Zbl 0343.41009
Schoenberg, I. J.
1976
Approximation with special emphasis on spline functions. Proceedings of a symposium, conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 5-7 , 1969. Zbl 0259.00010
Schoenberg, I. J. (ed.)
1969
On spline interpolation at all integer points of the real exis. Zbl 0183.33101
Schoenberg, I. J.
1968
On Cauchy’s lemma concerning convex polygons. Zbl 0153.51802
Schoenberg, I. J.; Zaremba, S. K.
1967
On the Peano curve of Lebesgue. Zbl 0019.15901
Schoenberg, I. J.
1938
Regular simplices and quadratic forms. Zbl 0015.39103
Schoenberg, I. J.
1937
On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space. JFM 63.0363.03
Schoenberg, I. J.
1937
Remarks concerning a numerical inversion of the Laplace transform due to Bellman, Kalaba, and Lockett. Zbl 0265.44007
Schoenberg, I. J.
1973
The interpolatory background of the Euler-MacLaurin quadrature formula. Zbl 0271.41010
Schoenberg, I. J.; Sharma, A.
1971
A theorem on polygons in $$n$$ dimensions with applications to variation- diminishing and cyclic variation-diminishing linear transformations. Zbl 0043.25204
Schoenberg, I. J.; Whitney, Anne
1951
On metric arcs of vanishing Menger curvature. JFM 66.0898.02
Schoenberg, I. J.
1940
On asymptotic distributions of arithmetical functions. Zbl 0013.39302
Schoenberg, I. J.
1936
On cardinal monosplines of least $$L_ \infty$$-norm on the real axis. Zbl 0217.13801
Schoenberg, I. J.; Ziegler, Z.
1970
On the maxima of certain Hankel determinants and the zeros of the classical orthogonal polynomials. Zbl 0090.04401
Schoenberg, I. J.
1959
On a conjecture concerning schlicht functions. Zbl 0089.05102
Epstein, Bernard; Schoenberg, I. J.
1959
On the zeros of successive derivatives of integral functions. Zbl 0014.31901
Schoenberg, I. J.
1936
Some applications of the calculus of variations to Riemannian geometry. Zbl 0005.29903
Schoenberg, I. J.
1932
The Landau problem. III: Motions on special curves and time-optimal control problems. Zbl 0472.26008
Schoenberg, I. J.
1981
Spline functions and differential equations - first order equations. Zbl 0314.65033
Schoenberg, I. J.
1974
On equidistant cubic spline interpolation. Zbl 0273.41007
Schoenberg, I. J.
1971
On the question of unicity in the theory of best approximation. Zbl 0099.04601
Schoenberg, I. J.
1960
On finite-rowed systems of linear inequalities in infinitely many variables. Zbl 0004.39901
Schoenberg, I. J.
1932
Selected papers. Volume 1. Edited by Carl de Boor. Zbl 0933.01032
Schoenberg, I. J.
1988
Selected papers. Volume 2. Edited by Carl de Boor. Zbl 0933.01033
Schoenberg, I. J.
1988
A proof of Grace’s theorem by induction. Zbl 0945.12500
Goodman, A. W.; Schoenberg, I. J.
1987
A conjectured analogue of Rolle’s theorem for polynomials with real or complex coefficients. Zbl 0627.30001
Schoenberg, I. J.
1986
Piecewise smooth solutions of some difference-differential equations. Zbl 0606.34040
Goodman, T. N. T.; Schoenberg, I. J.; Sharma, A.
1986
On a theorem of Szegö on univalent convex maps of the unit circle. Zbl 0576.30010
Goodman, A. W.; Schoenberg, I. J.
1985
On the equidecomposability of a regular triangle and a square of equal areas. Zbl 0539.51013
Crowe, D. W.; Schoenberg, I. J.
1984
On Jacobi-Bertrand’s proof of a theorem of Poncelet. Zbl 0583.51020
Schoenberg, I. J.
1983
A new approach to Euler splines. Zbl 0532.41015
Schoenberg, I. J.
1983
Interpolating splines as limits of polynomials. Zbl 0517.41004
Schoenberg, I. J.
1983
Mathematical time exposures. Zbl 0519.00002
Schoenberg, Isaac J.
1982
Hausdorff’s moment problem and expansions in Legendre polynomials. Zbl 0483.44012
Askey, R.; Schoenberg, I. J.; Sharma, A.
1982
Two applications of approximate differentiation formulae: An extremum problem for multiply monotone functions and the differentiation of asymptotic expansions. Zbl 0506.26007
Schoenberg, I. J.
1982
On polynomial interpolation at the points of a geometric progression. Zbl 0506.41003
Schoenberg, I. J.
1981
The Landau problem. III: Motions on special curves and time-optimal control problems. Zbl 0472.26008
Schoenberg, I. J.
1981
On a problem of Steinhaus on lattice points. Zbl 0429.52007
Schoenberg, I. J.
1979
Extremum problems for the motions of a billiard ball. III: The multi- dimensional case of König and Szücs. Zbl 0469.05040
Schoenberg, I. J.
1978
The Landau problem. I: The case of motions on sets. Zbl 0417.26009
Schoenberg, I. J.
1978
Cardinal interpolation and spline functions VIII. The Budan-Fourier theorem for splines and applications. Zbl 0319.41010
de Boor, Carl; Schoenberg, I. J.
1976
Studies in spline functions and approximation theory. Zbl 0323.00007
Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J.
1976
On the remainders and the convergence of cardinal spline interpolation for almost periodic functions. Zbl 0338.41007
Schoenberg, I. J.
1976
On Micchelli’s theory of cardinal $$\mathcal L$$-splines. Zbl 0343.41009
Schoenberg, I. J.
1976
The spline interpolation of sequences satisfying a linear recurrence relation. Zbl 0332.41004
Greville, T. N. E.; Schoenberg, I. J.; Sharma, A.
1976
Extremum problems for the motions of a billiard ball. II: The $$L_\infty$$ norm. Zbl 0357.90077
Schoenberg, I. J.
1976
On the location of the frets on the guitar. Zbl 0345.10001
Schoenberg, I. J.
1976
Notes on spline functions VI. Extremum problems of the Landau-type for the differential operators $$D^2\pm 1$$. Zbl 0343.41010
Schoenberg, I. J.
1976
Extremum problems for the motions of a billiard ball. I: The $$L_p$$ norm, $$1\leq p<\infty$$. Zbl 0331.65008
Schoenberg, I. J.
1976
Notes on spline functions. V: Orthogonal or Legendre splines. Zbl 0297.41002
Schoenberg, I. J.
1975
Splines and the logarithmic function. Zbl 0321.41007
Newman, D. J.; Schoenberg, I. J.
1975
On semicardinal quadrature formulae. Zbl 0284.65011
Schoenberg, I. J.; Silliman, S. D.
1974
Cardinal interpolation and spline functions. VII: The behavior of cardinal spline interpolants as their degree tends to infinity. Zbl 0303.41008
Schoenberg, I. J.
1974
Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae. Zbl 0297.41001
Schoenberg, I. J.
1974
Spline functions and differential equations - first order equations. Zbl 0314.65033
Schoenberg, I. J.
1974
Cardinal spline interpolation. Zbl 0264.41003
Schoenberg, I. J.
1973
The elementary cases of Landau’s problem of inequalities between derivatives. Zbl 0261.26014
Schoenberg, I. J.
1973
Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation. Zbl 0246.41015
Lipow, Peter R.; Schoenberg, I. J.
1973
Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity. Zbl 0272.41005
Schoenberg, I. J.
1973
Splines and histograms. Zbl 0274.41004
Schoenberg, I. J.
1973
Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov. Zbl 0278.41011
Richards, F. B.; Schoenberg, I. J.
1973
Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation. Zbl 0278.41010
Schoenberg, I. J.; Sharma, A.
1973
Remarks concerning a numerical inversion of the Laplace transform due to Bellman, Kalaba, and Lockett. Zbl 0265.44007
Schoenberg, I. J.
1973
On semi-cardinal quadrature formulae. Zbl 0319.41009
Schoenberg, I. J.; Silliman, S. D.
1973
Cardinal interpolation and spline functions. II: Interpolation of data of power growth. Zbl 0268.41004
Schoenberg, I. J.
1972
Solution of Landaus’ problem concerning higher derivatives on the halfline. Zbl 0229.41004
Schoenberg, I. J.; Cavaretta, A.
1972
Notes on spline functions. I: The limits of the interpolating periodic spline functions as their degree tends to infinity. Zbl 0271.41004
Schoenberg, I. J.
1972
Cardinal interpolation and spline functions. IV: The exponential Euler splines. Zbl 0269.41002
Schoenberg, I. J.
1972
On polynomial spline functions on the circle. II: Monosplines and quadrature formulae. Zbl 0238.30036
Schoenberg, I. J.
1972
On polynomial spline functions on the circle. I: Their interpolatory properties. Zbl 0238.30035
Schoenberg, I. J.
1972
The perfect B-splines and a time-optimal control problem. Zbl 0273.41006
Schoenberg, I. J.
1971
The interpolatory background of the Euler-MacLaurin quadrature formula. Zbl 0271.41010
Schoenberg, I. J.; Sharma, A.
1971
On equidistant cubic spline interpolation. Zbl 0273.41007
Schoenberg, I. J.
1971
Norm inequalities for a certain class of C$$\infty$$ functions. Zbl 0229.26019
Schoenberg, I. J.
1971
A second look at approximate quadrature formulae and spline interpolation. Zbl 0215.17504
Schoenberg, I. J.
1970
On cardinal monosplines of least $$L_ \infty$$-norm on the real axis. Zbl 0217.13801
Schoenberg, I. J.; Ziegler, Z.
1970
Cardinal interpolation and spline functions. Zbl 0221.41009
Schoenberg, I. J.
1970
Cardinal interpolation and spline functions. Zbl 0202.34803
Schoenberg, I. J.
1969
Monosplines and quadrature formulae. Zbl 0203.37002
Schoenberg, I. J.
1969
Schoenberg, I. J.
1969
Approximation with special emphasis on spline functions. Proceedings of a symposium, conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 5-7 , 1969. Zbl 0259.00010
Schoenberg, I. J. (ed.)
1969
Linkages and distance geometry. II: On sets of $$n+2$$ points in $$E_ n$$ that are most nearly equilateral. Zbl 0169.24702
Schoenberg, I. J.
1969
On spline interpolation at all integer points of the real axis. Zbl 0197.04803
Schoenberg, I. J.
1969
On the Ahlberg-Nilson extension of spline interpolation: The $$g$$-splines and their optimal properties. Zbl 0159.08401
Schoenberg, I. J.
1968
On spline interpolation at all integer points of the real exis. Zbl 0183.33101
Schoenberg, I. J.
1968
On Cauchy’s lemma concerning convex polygons. Zbl 0153.51802
Schoenberg, I. J.; Zaremba, S. K.
1967
On Polya frequency functions. IV: The fundamental spline functions and their limits. Zbl 0146.08404
Curry, H. B.; Schoenberg, I. J.
1966
On Hermite-Birkhoff interpolation. Zbl 0156.28702
Schoenberg, I. J.
1966
On variation diminishing spline approximation methods. Zbl 0171.31001
Marsden, M.; Schoenberg, I. J.
1966
On monosplines of least square deviation and best quadrature formulae. II. Zbl 0147.32103
Schoenberg, I. J.
1966
On Euclidean sets having only two distances between points. I, II. Zbl 0145.17103
Einhorn, S. J.; Schoenberg, I. J.
1966
On monosplines of least deviation and best quadrature formulae. Zbl 0136.36203
Schoenberg, I. J.
1965
Spline functions and the problem of graduation. Zbl 0147.32102
Schoenberg, I. J.
1964
On trigonometric spline interpolation. Zbl 0147.32104
Schoenberg, I. J.
1964
On interpolation by spline functions and its minimal properties. Zbl 0147.32101
Schoenberg, I. J.
1964
On best approximations of linear operators. Zbl 0146.08501
Schoenberg, I. J.
1964
Spline interpolation and the higher derivations. Zbl 0136.36201
Schoenberg, I. J.
1964
Spline interpolation and best quadrature formulae. Zbl 0136.36202
Schoenberg, I. J.
1964
A note on the cyclotomic polynomial. Zbl 0132.25601
Schoenberg, I. J.
1964
Arithmetic problems concerning Cauchy’s functional equation. I, II. Zbl 0132.11502
Pisot, C.; Schoenberg, I. J.
1964
On two theorems of P. Erdős and A. Rényi. Zbl 0099.03704
Schoenberg, I. J.
1962
Extrema for gap power series of positive real part. Zbl 0136.37702
Schoenberg, I. J.
1962
On the Besicovitch-Perron solution of the Kakeya problem. Zbl 0114.38404
Schoenberg, I. J.
1962
On certain minima related to the Besicovitch-Kakeya problem. Zbl 0123.39103
Schoenberg, I. J.
1962
On the unicity of solutions of problems of best approximations. Zbl 0099.04602
Schoenberg, I. J.; Yang, C. T.
1961
On Jordan arcs and Lipschitz classes of functions defined on them. Zbl 0128.05501
Besicovitch, A. S.; Schoenberg, I. J.
1961
An extremum problem for polynomials. Zbl 0097.04902
Schoenberg, I. J.; Szegö, Gábor
1960
On the question of unicity in the theory of best approximation. Zbl 0099.04601
Schoenberg, I. J.
1960
The integrability of certain functions and related summability methods. I, II. Zbl 0089.04002
Schoenberg, I. J.
1959
On variation diminshing approximation methods. Zbl 0083.28902
Schoenberg, I. J.
1959
On variation diminishing transformations on the circle. Zbl 0147.10603
Mairhuber, J. C.; Schoenberg, I. J.; Williamson, R. E.
1959
On the maxima of certain Hankel determinants and the zeros of the classical orthogonal polynomials. Zbl 0090.04401
Schoenberg, I. J.
1959
On a conjecture concerning schlicht functions. Zbl 0089.05102
Epstein, Bernard; Schoenberg, I. J.
1959
Remarks on de la Vallée Poussin means and convex conformal maps of the circle. Zbl 0084.27901
Pólya, George; Schoenberg, I. J.
1958
Spline functions, convex curves and mechanical quadrature. Zbl 0085.33701
Schoenberg, I. J.
1958
Some extremal problems for positive definite sequences and related extremal convex conformal maps of the circle. Zbl 0079.10005
Schoenberg, I. J.
1958
On the zeros of the generating functions of multiply positive sequences and functions. Zbl 0065.34301
Schoenberg, I. J.
1955
A note on multiply positive sequences and the Descartes rule of signs. Zbl 0065.25101
Schoenberg, I. J.
1955
The relaxation method for linear inequalities. Zbl 0055.35002
Motzkin, T. S.; Schoenberg, I. J.
1954
An isoperimetric inequality for closed curves convex in even-dimensional Euclidean spaces. Zbl 0056.15705
Schoenberg, I. J.
1954
On Pólya frequency functions. III. The positivity of translation determinants with an application to the interpolation problem by spline curves. Zbl 0051.33606
Schoenberg, I. J.; Whitney, Anne
1953
On smoothing operations and their generating functions. Zbl 0050.28703
Schoenberg, I. J.
1953
...and 62 more Documents
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#### Cited by 3,297 Authors

 47 Schoenberg, Isaac Jacob 32 Porcu, Emilio 29 Menegatto, Valdir Antonio 26 Micchelli, Charles A. 26 Savaş, Ekrem 25 Goodman, Timothy N. T. 21 Ma, Chunsheng 19 Sharma, Ambikeshwar 18 Et, Mikail 17 Hazarika, Bipan 17 Sun, Xingping 16 Das, Pratulananda 16 Ward, Joseph Dinneen 15 de Boor, Carl 15 Hayotov, Abdullo Rakhmonovich 15 Karlin, Samuel 15 Le Gia, Quoc Thong 15 Peron, Ana Paula 15 Schempp, Walter Johannes 15 Schumaker, Larry L. 13 Chui, Charles Kam-tai 13 Esi, Ayhan 13 Maehara, Hiroshi 13 Shadimetov, Kholmat Mahkambaevich 12 Alfakih, Abdo Y. 12 Censor, Yair 12 Guella, Jean Carlo 12 Riemenschneider, Sherman D. 12 Sloan, Ian Hugh 11 Altinok, Hifsi 11 Ghosal, Sanjoy Kr 11 Pinkus, Allan M. 11 Unser, Michael A. 10 Altin, Yavuz 10 Dündar, Erdinç 10 Mohiuddine, Syed Abdul 10 Peña, Juan Manuel 10 Zheludev, Valery A. 9 Agarwal, Ravi P. 9 Mursaleen, Mohammad 9 Naor, Assaf 9 Narcowich, Francis J. 9 Ruscheweyh, Stephan 9 Zastavnyĭ, Viktor Petrovich 8 Alotaibi, Abdullah M. 8 Averbuch, Amir Z. 8 Baxter, Brad J. C. 8 Bhardwaj, Vinod Kumar 8 Çolak, Rifat 8 Dahmen, Wolfgang A. 8 Dyn, Nira 8 Guillot, Dominique 8 Jetter, Kurt 8 Li, Chin-Shang 8 Mateu, Jorge 8 Qi, Houduo 8 Toraichi, Kazuo 8 Tripathy, Binod Chandra 8 Wang, Renhong 8 Wong, Patricia J. Y. 7 Berg, Christian 7 Boyanov, Borislav Dechev 7 Butzer, Paul Leo 7 Cakalli, Huseyin 7 Deza, Michel Marie 7 Kamali, Zeinab 7 Khare, Apoorva 7 Lee, Shen-ling 7 Lee, Su-Ling 7 Liberti, Leo 7 Milovanović, Gradimir V. 7 Nozaki, Hiroshi 7 Plonka, Gerlind 7 Šalát, Tibor 7 Schröder, Viktor M. H. 7 Seatzu, Sebastiano 7 Tzimbalario, Jean 7 Wendland, Holger 7 Weston, Anthony 6 Alpay, Daniel Aron 6 Basarir, Metin 6 Bejancu, Aurelian jun. 6 Brauchart, Johann S. 6 Buhmann, Martin Dietrich 6 Cao, Feilong 6 Cavaretta, Alfred S. jun. 6 Dehghan Takht Fooladi, Mehdi 6 Delvos, Franz-Jürgen 6 Gneiting, Tilmann 6 Gröchenig, Karlheinz 6 Hirschman, Isidore Isaac jun. 6 Ibáñez, María J. 6 İlkhan, Merve 6 Jørgensen, Palle E. T. 6 Kamada, Masaru 6 Katkova, Olga M. 6 Lavor, Carlile Campos 6 Ledford, Jeff 6 Levesley, Jeremy 6 Madych, Wally R. ...and 3,197 more Authors
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#### Cited in 521 Serials

 263 Journal of Approximation Theory 116 Journal of Mathematical Analysis and Applications 92 Linear Algebra and its Applications 87 Transactions of the American Mathematical Society 73 Journal of Computational and Applied Mathematics 72 Proceedings of the American Mathematical Society 51 Numerische Mathematik 38 Constructive Approximation 37 Mathematics of Computation 35 Applied Mathematics and Computation 33 Journal d’Analyse Mathématique 32 Journal of Multivariate Analysis 29 Advances in Computational Mathematics 29 Bulletin of the American Mathematical Society 28 Computer Aided Geometric Design 27 Computers & Mathematics with Applications 27 Mathematical Notes 27 Mathematische Zeitschrift 26 Applied and Computational Harmonic Analysis 25 Israel Journal of Mathematics 25 Numerical Algorithms 25 Journal of Inequalities and Applications 23 Discrete Mathematics 23 Statistics & Probability Letters 21 Journal of Combinatorial Theory. Series A 19 Journal of Computational Physics 19 BIT 19 Calcolo 18 Numerical Functional Analysis and Optimization 17 Advances in Mathematics 17 Journal of Functional Analysis 17 The Journal of Fourier Analysis and Applications 16 Mathematica Slovaca 16 European Journal of Combinatorics 16 Mathematical Programming. Series A. Series B 16 Journal of Mathematical Sciences (New York) 15 Rocky Mountain Journal of Mathematics 15 Mathematical Programming 15 Discrete & Computational Geometry 15 Communications in Statistics. Theory and Methods 15 Positivity 14 The Annals of Statistics 13 Acta Mathematica Hungarica 13 Journal of Complexity 13 Aequationes Mathematicae 13 Computational Statistics and Data Analysis 12 Ukrainian Mathematical Journal 12 Journal of Soviet Mathematics 12 Results in Mathematics 11 Acta Mathematica Academiae Scientiarum Hungaricae 11 Computer Methods in Applied Mechanics and Engineering 11 Computing 11 Geometriae Dedicata 11 Information Sciences 11 Journal of Optimization Theory and Applications 11 Mathematische Annalen 11 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 11 Applied Mathematics Letters 11 Bernoulli 10 Analysis Mathematica 10 Bulletin of the Australian Mathematical Society 10 Archiv der Mathematik 10 Journal of Statistical Planning and Inference 10 Applied Numerical Mathematics 10 Abstract and Applied Analysis 10 Computational Methods and Function Theory 9 Czechoslovak Mathematical Journal 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 Siberian Mathematical Journal 9 Topology and its Applications 9 Journal of Global Optimization 9 Expositiones Mathematicae 9 Journal of the Egyptian Mathematical Society 9 Engineering Analysis with Boundary Elements 9 Soft Computing 9 Boletim da Sociedade Paranaense de Matemática. Terceira Série 9 Proceedings of the Steklov Institute of Mathematics 8 Applicable Analysis 8 Periodica Mathematica Hungarica 8 Journal of Mathematical Psychology 8 Journal of Number Theory 8 Monatshefte für Mathematik 8 Proceedings of the Japan Academy. Series A 8 Journal of Theoretical Probability 8 Mathematical and Computer Modelling 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Stochastic Processes and their Applications 8 Computational Optimization and Applications 8 Acta Mathematica Sinica. English Series 8 BIT. Nordisk Tidskrift for Informationsbehandling 8 Afrika Matematika 7 Discrete Applied Mathematics 7 International Journal of Systems Science 7 Acta Mathematica 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Mathematics and Computers in Simulation 7 Stochastic Analysis and Applications 7 Applied Mathematical Modelling 7 European Journal of Operational Research 7 Integral Transforms and Special Functions ...and 421 more Serials
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#### Cited in 62 Fields

 832 Approximations and expansions (41-XX) 640 Numerical analysis (65-XX) 270 Functional analysis (46-XX) 255 Statistics (62-XX) 254 Harmonic analysis on Euclidean spaces (42-XX) 247 Sequences, series, summability (40-XX) 239 Probability theory and stochastic processes (60-XX) 182 Operations research, mathematical programming (90-XX) 179 Combinatorics (05-XX) 149 Linear and multilinear algebra; matrix theory (15-XX) 144 Real functions (26-XX) 132 Functions of a complex variable (30-XX) 126 Operator theory (47-XX) 113 Convex and discrete geometry (52-XX) 98 Geometry (51-XX) 96 Abstract harmonic analysis (43-XX) 95 Special functions (33-XX) 95 Computer science (68-XX) 92 Number theory (11-XX) 68 General topology (54-XX) 68 Information and communication theory, circuits (94-XX) 63 Partial differential equations (35-XX) 44 Integral transforms, operational calculus (44-XX) 42 Differential geometry (53-XX) 41 Ordinary differential equations (34-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 37 Measure and integration (28-XX) 35 Systems theory; control (93-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Fluid mechanics (76-XX) 30 Topological groups, Lie groups (22-XX) 27 Algebraic geometry (14-XX) 26 Statistical mechanics, structure of matter (82-XX) 26 Geophysics (86-XX) 24 Group theory and generalizations (20-XX) 23 Integral equations (45-XX) 23 Biology and other natural sciences (92-XX) 22 Difference and functional equations (39-XX) 21 Potential theory (31-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Commutative algebra (13-XX) 19 Quantum theory (81-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Mechanics of deformable solids (74-XX) 12 History and biography (01-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Field theory and polynomials (12-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 9 Mathematical logic and foundations (03-XX) 9 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Mechanics of particles and systems (70-XX) 3 Associative rings and algebras (16-XX) 3 Astronomy and astrophysics (85-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 Relativity and gravitational theory (83-XX)

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