Edit Profile (opens in new tab) Schoenberg, Isaac Jacob (b. 1903 d. 1990) Co-Author Distance Author ID: schoenberg.isaac-jacob Published as: Schoenberg, I. J.; Schoenberg, I.; Schoenberg, Isaac J.; Schoenberg, Isac more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 222 Publications since 1928, including 7 Books 10 Contributions as Editor · 3 Further Contributions Biographic References: 4 Publications Co-Authors: 48 Co-Authors with 69 Joint Publications 928 Co-Co-Authors all top 5 Co-Authors 164 single-authored 9 Landau, Edmund 9 Mirsky, Leon 9 Wefelscheid, Heinrich 7 Bateman, Paul Trevier 7 Montgomery, Hugh Lowell 7 Schaal, Werner 7 Sharma, Ambikeshwar 6 Bliss, Gilbert Ames 5 Whitney, Anne 4 de Boor, Carl 4 Motzkin, Theodore Samuel 3 Greville, Thomas Nall Eden 3 Hildebrandt, Theophil Henry 3 von Neumann, John 2 Aissen, Michael I. 2 Besicovitch, Abram S. 2 Goodman, Adolph-W. 2 Karlin, Samuel 2 Laugwitz, Detlef 2 Pólya, George 2 Rademacher, Hans Adolph 2 Silliman, Sherwood D. 2 Ziegler, Zvi 1 Askey, Richard Allen 1 Baishanski, Bogdan M. 1 Beckenbach, Edwin Ford 1 Bernoulli, René 1 Borwein, Peter Benjamin 1 Boyd, David William 1 Breidert, Wolfgang 1 Bundschuh, Peter 1 Burckhardt, Johann Jakob 1 Butzer, Paul Leo 1 Cavaretta, Alfred S. jun. 1 Cheney, Elliott Ward jun. 1 Crowe, Donald W. 1 Cunningham, F. jun. 1 Curry, Haskell Brooks 1 de Bruijn, Nicolaas Govert 1 Diaz, Joaquin Basilio 1 Dickmeis, Werner 1 Dieudonné, Jean 1 1 Edrei, Albert 1 Einhorn, S. J. 1 Epstein, Bernard 1 Fan, Ky 1 Fellman, E. A. 1 Friedman, Avner 1 Gonska, Heinz Herbert 1 Goodman, Timothy N. T. 1 Gosselin, Richard P. 1 Grattan-Guinness, Ivor 1 Grigor’yan, Ashot Tigranovich 1 Habicht, Walter 1 Heise, Werner 1 Jaquel, R. 1 Kirsanov, V. S. 1 Kopelevich, Yu. Kh. 1 Lipow, Peter R. 1 Littlewood, John Edensor 1 Mairhuber, John C. 1 Marcus, Marvin D. 1 Marsden, Martin J. 1 Marshall, Albert W. 1 Matvievskaya, Galina Pavlovna 1 Metcalf, Frederic T. 1 Micchelli, Charles A. 1 Mikhajlov, Gleb K. 1 Narkiewicz, Władysław 1 Nessel, Rolf Joachim 1 Nevskaya, N. I. 1 Newman, Donald J. 1 Olkin, Ingram 1 Ozhigova, Elena Petrovna 1 Payne, Lawrence Edward 1 Peetre, Jaak 1 Pinkus, Allan M. 1 Pisot, Charles 1 Pollin, Jack M. 1 Proschan, Frank 1 Richards, Franklin B. 1 Scharlau, Winfried 1 Schwarz, Wolfgang Karl 1 Shisha, D. 1 Shisha, Oved 1 Speiser, David 1 Speziali, Pierre 1 Stark, Eberhard L. 1 Stenger, Frank 1 Szegő, Gábor 1 Taton, Rene 1 Taussky-Todd, Olga 1 Todd, John 1 Van der Waerden, Bartel Leendert 1 van Wickeren, Erich 1 Vértesi, Péter 1 Volk, Otto 1 Weil, André 1 Weinstein, Alexander ...and 6 more Co-Authors all top 5 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 Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea 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 Publications of the Mathematics Research Center, The University of Wisconsin - Madison 1 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis all top 5 Fields 47 Approximations and expansions (41-XX) 14 Number theory (11-XX) 12 History and biography (01-XX) 12 Numerical analysis (65-XX) 11 Real functions (26-XX) 9 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 169 Publications have been cited 4,496 times in 3,508 Documents Cited by ▼ Year ▼ The integrability of certain functions and related summability methods. I, II. Zbl 0089.04002Schoenberg, I. J. 385 1959 Positive definite functions on spheres. Zbl 0063.06808Schoenberg, I. J. 284 1942 Cardinal spline interpolation. Zbl 0264.41003Schoenberg, I. J. 252 1973 Metric spaces and completely monotone functions. JFM 64.0617.03Schoenberg, I. J. 203 1938 Metric spaces and positive definite functions. Zbl 0019.41502Schoenberg, I. J. 191 1938 On Polya frequency functions. IV: The fundamental spline functions and their limits. Zbl 0146.08404Curry, H. B.; Schoenberg, I. J. 181 1966 The relaxation method for linear inequalities. Zbl 0055.35002Motzkin, T. S.; Schoenberg, I. J. 160 1954 Metric spaces and completely monontone functions. Zbl 0019.41503Schoenberg, I. J. 140 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 0061.28804Schoenberg, I. J. 137 1946 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 0012.30703Schoenberg, I. J. 134 1935 Metric spaces and positive definite functions. JFM 64.0617.02Schoenberg, I. J. 115 1938 On Pólya frequency functions. I. The totally positive functions and their Laplace transforms. Zbl 0045.37602Schoenberg, I. J. 92 1951 Cardinal interpolation and spline functions. Zbl 0202.34803Schoenberg, I. J. 81 1969 Spline functions and the problem of graduation. Zbl 0147.32102Schoenberg, I. J. 77 1964 On Hermite-Birkhoff interpolation. Zbl 0156.28702Schoenberg, I. J. 73 1966 On Pólya frequency functions. III. The positivity of translation determinants with an application to the interpolation problem by spline curves. Zbl 0051.33606Schoenberg, I. J.; Whitney, Anne 73 1953 Remarks on de la Vallée Poussin means and convex conformal maps of the circle. Zbl 0084.27901Pólya, George; Schoenberg, I. J. 71 1958 Über variationsvermindernde lineare Transformationen. JFM 56.0106.06Schoenberg, I. 67 1930 On trigonometric spline interpolation. Zbl 0147.32104Schoenberg, I. J. 64 1964 On the generating functions of totally positive sequences. I. Zbl 0049.17201Aissen, Michael; Schoenberg, I. J.; Whitney, A. M. 59 1952 Cardinal interpolation and spline functions. II: Interpolation of data of power growth. Zbl 0268.41004Schoenberg, I. J. 47 1972 On interpolation by spline functions and its minimal properties. Zbl 0147.32101Schoenberg, I. J. 47 1964 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 61.0435.04Schoenberg, I. J. 46 1935 On variation diminishing spline approximation methods. Zbl 0171.31001Marsden, M.; Schoenberg, I. J. 46 1966 On the generating functions of totally positive sequences. Zbl 0042.29205Aissen, Michael; Edrei, Albert; Schoenberg, I. J.; Whitney, Anne 41 1951 Über die asymptotische Verteilung reeller Zahlen mod 1. JFM 54.0212.02Schoenberg, Isac 40 1928 A remark on M. M. Day’s characterization of inner-product spaces and a conjecture of L. M. Blumenthal. Zbl 0049.08301Schoenberg, I. J. 40 1952 On monosplines of least deviation and best quadrature formulae. Zbl 0136.36203Schoenberg, I. J. 39 1965 On Euclidean sets having only two distances between points. I, II. Zbl 0145.17103Einhorn, S. J.; Schoenberg, I. J. 39 1966 On best approximations of linear operators. Zbl 0146.08501Schoenberg, I. J. 35 1964 On linear functional operations and the moment problem for a finite interval in one or several dimensions. Zbl 0006.40204Hildebrandt, T. H.; Schoenberg, I. J. 35 1933 Fourier integrals and metric geometry. Zbl 0028.41002von Neumann, J.; Schoenberg, I. J. 35 1941 On monosplines of least square deviation and best quadrature formulae. II. Zbl 0147.32103Schoenberg, I. J. 33 1966 The elementary cases of Landau’s problem of inequalities between derivatives. Zbl 0261.26014Schoenberg, I. J. 28 1973 The finite Fourier series and elementary geometry. Zbl 0038.35602Schoenberg, I. J. 28 1950 On the zeros of the generating functions of multiply positive sequences and functions. Zbl 0065.34301Schoenberg, I. J. 26 1955 On totally positive functions, Laplace integrals and entire functions of the Laguerre-Polya-Schur type. Zbl 0029.36601Schoenberg, I. J. 26 1947 Spline interpolation and the higher derivations. Zbl 0136.36201Schoenberg, I. J. 25 1964 Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation. Zbl 0246.41015Lipow, Peter R.; Schoenberg, I. J. 24 1973 On the Ahlberg-Nilson extension of spline interpolation: The \(g\)-splines and their optimal properties. Zbl 0159.08401Schoenberg, I. J. 24 1968 Spline functions, convex curves and mechanical quadrature. Zbl 0085.33701Schoenberg, I. J. 23 1958 On Polya frequency functions. II: Variation-diminishing integral operators of the convolution type. Zbl 0035.35201Schoenberg, I. J. 23 1950 Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity. Zbl 0272.41005Schoenberg, I. J. 22 1973 On semicardinal quadrature formulae. Zbl 0284.65011Schoenberg, I. J.; Silliman, S. D. 22 1974 On the unicity of solutions of problems of best approximations. Zbl 0099.04602Schoenberg, I. J.; Yang, C. T. 22 1961 Monosplines and quadrature formulae. Zbl 0203.37002Schoenberg, I. J. 22 1969 On smoothing operations and their generating functions. Zbl 0050.28703Schoenberg, I. J. 22 1953 Splines and histograms. Zbl 0274.41004Schoenberg, I. J. 21 1973 Spline interpolation and best quadrature formulae. Zbl 0136.36202Schoenberg, I. J. 21 1964 Studies in spline functions and approximation theory. Zbl 0323.00007Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J. 20 1976 A note on the cyclotomic polynomial. Zbl 0132.25601Schoenberg, I. J. 20 1964 A remark on the preceding note by Bochner. Zbl 0009.24704Schoenberg, I. J. 20 1934 An isoperimetric inequality for closed curves convex in even-dimensional Euclidean spaces. Zbl 0056.15705Schoenberg, I. J. 20 1954 Cardinal interpolation and spline functions VIII. The Budan-Fourier theorem for splines and applications. Zbl 0319.41010de Boor, Carl; Schoenberg, I. J. 19 1976 On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space. JFM 63.0363.03Schoenberg, I. J. 19 1937 A second look at approximate quadrature formulae and spline interpolation. Zbl 0215.17504Schoenberg, I. J. 19 1970 On certain two-point expansions of integral functions of exponential type. Zbl 0014.02501Schoenberg, I. J. 19 1936 Solution of Landaus’ problem concerning higher derivatives on the halfline. Zbl 0229.41004Schoenberg, I. J.; Cavaretta, A. 18 1972 Notes on spline functions. I: The limits of the interpolating periodic spline functions as their degree tends to infinity. Zbl 0271.41004Schoenberg, I. J. 18 1972 The perfect B-splines and a time-optimal control problem. Zbl 0273.41006Schoenberg, I. J. 17 1971 Fourier integrals and metric geometry. JFM 67.0692.01von Neumann, J.; Schoenberg, I. J. 17 1941 On a theorem of Kirzbraun and Valentine. Zbl 0053.12201Schoenberg, I. J. 15 1953 Mathematical time exposures. Zbl 0519.00002Schoenberg, Isaac J. 14 1982 On variation-diminishing integral operators of the convolution type. Zbl 0036.20301Schoenberg, I. J. 14 1948 On variation diminishing transformations on the circle. Zbl 0147.10603Mairhuber, J. C.; Schoenberg, I. J.; Williamson, R. E. 13 1959 Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov. Zbl 0278.41011Richards, F. B.; Schoenberg, I. J. 12 1973 On variation diminshing approximation methods. Zbl 0083.28902Schoenberg, I. J. 12 1959 A conjectured analogue of Rolle’s theorem for polynomials with real or complex coefficients. Zbl 0627.30001Schoenberg, I. J. 12 1986 Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation. Zbl 0278.41010Schoenberg, I. J.; Sharma, A. 11 1973 Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae. Zbl 0297.41001Schoenberg, I. J. 11 1974 Cardinal interpolation and spline functions. VII: The behavior of cardinal spline interpolants as their degree tends to infinity. Zbl 0303.41008Schoenberg, I. J. 11 1974 On the remainders and the convergence of cardinal spline interpolation for almost periodic functions. Zbl 0338.41007Schoenberg, I. J. 11 1976 On metric arcs of vanishing Menger curvature. JFM 66.0898.02Schoenberg, I. J. 11 1940 On polynomial interpolation at the points of a geometric progression. Zbl 0506.41003Schoenberg, I. J. 11 1981 Helly’s theorems on convex domains and Tschebyscheff’s approximation problem. Zbl 0036.23703Rademacher, Hans; Schoenberg, I. J. 11 1950 Hausdorff’s moment problem and expansions in Legendre polynomials. Zbl 0483.44012Askey, R.; Schoenberg, I. J.; Sharma, A. 10 1982 On the maxima of certain Hankel determinants and the zeros of the classical orthogonal polynomials. Zbl 0090.04401Schoenberg, I. J. 10 1959 An extremum problem for polynomials. Zbl 0097.04902Schoenberg, I. J.; Szegö, Gábor 10 1960 Linkages and distance geometry. I: Linkages. Zbl 0169.24701Schoenberg, I. J. 10 1969 Zur Abzählung der reellen Wurzeln algebraischer Gleichungen. Zbl 0009.00401Schoenberg, I. J. 10 1934 Cardinal interpolation and spline functions. IV: The exponential Euler splines. Zbl 0269.41002Schoenberg, I. J. 9 1972 The interpolatory background of the Euler-MacLaurin quadrature formula. Zbl 0271.41010Schoenberg, I. J.; Sharma, A. 9 1971 On Micchelli’s theory of cardinal \(\mathcal L\)-splines. Zbl 0343.41009Schoenberg, I. J. 9 1976 On spline interpolation at all integer points of the real exis. Zbl 0183.33101Schoenberg, I. J. 9 1968 Regular simplices and quadratic forms. Zbl 0015.39103Schoenberg, I. J. 9 1937 On the Peano curve of Lebesgue. Zbl 0019.15901Schoenberg, I. J. 9 1938 A theorem on polygons in \(n\) dimensions with applications to variation- diminishing and cyclic variation-diminishing linear transformations. Zbl 0043.25204Schoenberg, I. J.; Whitney, Anne 9 1951 Remarks concerning a numerical inversion of the Laplace transform due to Bellman, Kalaba, and Lockett. Zbl 0265.44007Schoenberg, I. J. 8 1973 Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102 8 1967 On asymptotic distributions of arithmetical functions. Zbl 0013.39302Schoenberg, I. J. 8 1936 On equidistant cubic spline interpolation. Zbl 0273.41007Schoenberg, I. J. 7 1971 On a conjecture concerning schlicht functions. Zbl 0089.05102Epstein, Bernard; Schoenberg, I. J. 7 1959 On Cauchy’s lemma concerning convex polygons. Zbl 0153.51802Schoenberg, I. J.; Zaremba, S. K. 7 1967 On cardinal monosplines of least \(L_ \infty\)-norm on the real axis. Zbl 0217.13801Schoenberg, I. J.; Ziegler, Z. 7 1970 On separation, comparison and oscillation theorems for self-adjoint systems of linear second order differential equations. Zbl 0003.25702Bliss, G. A.; Schoenberg, I. J. 7 1931 Some applications of the calculus of variations to Riemannian geometry. Zbl 0005.29903Schoenberg, I. J. 7 1932 On the zeros of successive derivatives of integral functions. Zbl 0014.31901Schoenberg, I. J. 7 1936 The Landau problem. III: Motions on special curves and time-optimal control problems. Zbl 0472.26008Schoenberg, I. J. 6 1981 Notes on spline functions. V: Orthogonal or Legendre splines. Zbl 0297.41002Schoenberg, I. J. 6 1975 Extremum problems for the motions of a billiard ball. II: The \(L_\infty\) norm. Zbl 0357.90077Schoenberg, I. J. 6 1976 Selected papers. Volume 1. Edited by Carl de Boor. Zbl 0933.01032Schoenberg, I. J. 4 1988 Selected papers. Volume 2. Edited by Carl de Boor. Zbl 0933.01033Schoenberg, I. J. 3 1988 A proof of Grace’s theorem by induction. Zbl 0945.12500Goodman, A. W.; Schoenberg, I. J. 2 1987 A conjectured analogue of Rolle’s theorem for polynomials with real or complex coefficients. Zbl 0627.30001Schoenberg, I. J. 12 1986 Collected works. Ed. by L. Mirsky, I. J. Schoenberg, W. Schwarz, H. Wefelscheid. Volume 2. Zbl 0653.01019Landau, Edmund 1 1986 Piecewise smooth solutions of some difference-differential equations. Zbl 0606.34040Goodman, T. N. T.; Schoenberg, I. J.; Sharma, A. 1 1986 On a theorem of Szegö on univalent convex maps of the unit circle. Zbl 0576.30010Goodman, A. W.; Schoenberg, I. J. 3 1985 Collected works. Ed. by L. Mirsky, I. J. Schoenberg, W. Schwarz, H. Wefelscheid. Volume 1. Zbl 0653.01018Landau, Edmund 1 1984 On the equidecomposability of a regular triangle and a square of equal areas. Zbl 0539.51013Crowe, D. W.; Schoenberg, I. J. 1 1984 A new approach to Euler splines. Zbl 0532.41015Schoenberg, I. J. 6 1983 On Jacobi-Bertrand’s proof of a theorem of Poncelet. Zbl 0583.51020Schoenberg, I. J. 4 1983 Interpolating splines as limits of polynomials. Zbl 0517.41004Schoenberg, I. J. 2 1983 Mathematical time exposures. Zbl 0519.00002Schoenberg, Isaac J. 14 1982 Hausdorff’s moment problem and expansions in Legendre polynomials. Zbl 0483.44012Askey, R.; Schoenberg, I. J.; Sharma, A. 10 1982 Two applications of approximate differentiation formulae: An extremum problem for multiply monotone functions and the differentiation of asymptotic expansions. Zbl 0506.26007Schoenberg, I. J. 1 1982 On polynomial interpolation at the points of a geometric progression. Zbl 0506.41003Schoenberg, I. J. 11 1981 The Landau problem. III: Motions on special curves and time-optimal control problems. Zbl 0472.26008Schoenberg, I. J. 6 1981 On a problem of Steinhaus on lattice points. Zbl 0429.52007Schoenberg, I. J. 1 1979 The Landau problem. I: The case of motions on sets. Zbl 0417.26009Schoenberg, I. J. 2 1978 Extremum problems for the motions of a billiard ball. III: The multi- dimensional case of König and Szücs. Zbl 0469.05040Schoenberg, I. J. 2 1978 Studies in spline functions and approximation theory. Zbl 0323.00007Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J. 20 1976 Cardinal interpolation and spline functions VIII. The Budan-Fourier theorem for splines and applications. Zbl 0319.41010de Boor, Carl; Schoenberg, I. J. 19 1976 On the remainders and the convergence of cardinal spline interpolation for almost periodic functions. Zbl 0338.41007Schoenberg, I. J. 11 1976 On Micchelli’s theory of cardinal \(\mathcal L\)-splines. Zbl 0343.41009Schoenberg, I. J. 9 1976 Extremum problems for the motions of a billiard ball. II: The \(L_\infty\) norm. Zbl 0357.90077Schoenberg, I. J. 6 1976 The spline interpolation of sequences satisfying a linear recurrence relation. Zbl 0332.41004Greville, T. N. E.; Schoenberg, I. J.; Sharma, A. 5 1976 Notes on spline functions VI. Extremum problems of the Landau-type for the differential operators \(D^2\pm 1\). Zbl 0343.41010Schoenberg, I. J. 2 1976 On the location of the frets on the guitar. Zbl 0345.10001Schoenberg, I. J. 2 1976 Extremum problems for the motions of a billiard ball. I: The \(L_p\) norm, \(1\leq p<\infty\). Zbl 0331.65008Schoenberg, I. J. 1 1976 Notes on spline functions. V: Orthogonal or Legendre splines. Zbl 0297.41002Schoenberg, I. J. 6 1975 Splines and the logarithmic function. Zbl 0321.41007Newman, D. J.; Schoenberg, I. J. 3 1975 On semicardinal quadrature formulae. Zbl 0284.65011Schoenberg, I. J.; Silliman, S. D. 22 1974 Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae. Zbl 0297.41001Schoenberg, I. J. 11 1974 Cardinal interpolation and spline functions. VII: The behavior of cardinal spline interpolants as their degree tends to infinity. Zbl 0303.41008Schoenberg, I. J. 11 1974 Spline functions and differential equations - first order equations. Zbl 0314.65033Schoenberg, I. J. 5 1974 Cardinal spline interpolation. Zbl 0264.41003Schoenberg, I. J. 252 1973 The elementary cases of Landau’s problem of inequalities between derivatives. Zbl 0261.26014Schoenberg, I. J. 28 1973 Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation. Zbl 0246.41015Lipow, Peter R.; Schoenberg, I. J. 24 1973 Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity. Zbl 0272.41005Schoenberg, I. J. 22 1973 Splines and histograms. Zbl 0274.41004Schoenberg, I. J. 21 1973 Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov. Zbl 0278.41011Richards, F. B.; Schoenberg, I. J. 12 1973 Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation. Zbl 0278.41010Schoenberg, I. J.; Sharma, A. 11 1973 Remarks concerning a numerical inversion of the Laplace transform due to Bellman, Kalaba, and Lockett. Zbl 0265.44007Schoenberg, I. J. 8 1973 On semi-cardinal quadrature formulae. Zbl 0319.41009Schoenberg, I. J.; Silliman, S. D. 4 1973 Cardinal interpolation and spline functions. II: Interpolation of data of power growth. Zbl 0268.41004Schoenberg, I. J. 47 1972 Solution of Landaus’ problem concerning higher derivatives on the halfline. Zbl 0229.41004Schoenberg, I. J.; Cavaretta, A. 18 1972 Notes on spline functions. I: The limits of the interpolating periodic spline functions as their degree tends to infinity. Zbl 0271.41004Schoenberg, I. J. 18 1972 Cardinal interpolation and spline functions. IV: The exponential Euler splines. Zbl 0269.41002Schoenberg, I. J. 9 1972 On polynomial spline functions on the circle. II: Monosplines and quadrature formulae. Zbl 0238.30036Schoenberg, I. J. 3 1972 On polynomial spline functions on the circle. I: Their interpolatory properties. Zbl 0238.30035Schoenberg, I. J. 1 1972 The perfect B-splines and a time-optimal control problem. Zbl 0273.41006Schoenberg, I. J. 17 1971 The interpolatory background of the Euler-MacLaurin quadrature formula. Zbl 0271.41010Schoenberg, I. J.; Sharma, A. 9 1971 On equidistant cubic spline interpolation. Zbl 0273.41007Schoenberg, I. J. 7 1971 Norm inequalities for a certain class of C\(\infty\) functions. Zbl 0229.26019Schoenberg, I. J. 1 1971 A second look at approximate quadrature formulae and spline interpolation. Zbl 0215.17504Schoenberg, I. J. 19 1970 On cardinal monosplines of least \(L_ \infty\)-norm on the real axis. Zbl 0217.13801Schoenberg, I. J.; Ziegler, Z. 7 1970 Cardinal interpolation and spline functions. Zbl 0221.41009Schoenberg, I. J. 2 1970 Cardinal interpolation and spline functions. Zbl 0202.34803Schoenberg, I. J. 81 1969 Monosplines and quadrature formulae. Zbl 0203.37002Schoenberg, I. J. 22 1969 Linkages and distance geometry. I: Linkages. Zbl 0169.24701Schoenberg, I. J. 10 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 5 1969 Linkages and distance geometry. II: On sets of \(n+2\) points in \(E_ n\) that are most nearly equilateral. Zbl 0169.24702Schoenberg, I. J. 2 1969 On spline interpolation at all integer points of the real axis. Zbl 0197.04803Schoenberg, I. J. 1 1969 On the Ahlberg-Nilson extension of spline interpolation: The \(g\)-splines and their optimal properties. Zbl 0159.08401Schoenberg, I. J. 24 1968 On spline interpolation at all integer points of the real exis. Zbl 0183.33101Schoenberg, I. J. 9 1968 Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102 8 1967 On Cauchy’s lemma concerning convex polygons. Zbl 0153.51802Schoenberg, I. J.; Zaremba, S. K. 7 1967 On Polya frequency functions. IV: The fundamental spline functions and their limits. Zbl 0146.08404Curry, H. B.; Schoenberg, I. J. 181 1966 On Hermite-Birkhoff interpolation. Zbl 0156.28702Schoenberg, I. J. 73 1966 On variation diminishing spline approximation methods. Zbl 0171.31001Marsden, M.; Schoenberg, I. J. 46 1966 On Euclidean sets having only two distances between points. I, II. Zbl 0145.17103Einhorn, S. J.; Schoenberg, I. J. 39 1966 On monosplines of least square deviation and best quadrature formulae. II. Zbl 0147.32103Schoenberg, I. J. 33 1966 On monosplines of least deviation and best quadrature formulae. Zbl 0136.36203Schoenberg, I. J. 39 1965 Spline functions and the problem of graduation. Zbl 0147.32102Schoenberg, I. J. 77 1964 On trigonometric spline interpolation. Zbl 0147.32104Schoenberg, I. J. 64 1964 On interpolation by spline functions and its minimal properties. Zbl 0147.32101Schoenberg, I. J. 47 1964 On best approximations of linear operators. Zbl 0146.08501Schoenberg, I. J. 35 1964 Spline interpolation and the higher derivations. Zbl 0136.36201Schoenberg, I. J. 25 1964 Spline interpolation and best quadrature formulae. Zbl 0136.36202Schoenberg, I. J. 21 1964 A note on the cyclotomic polynomial. Zbl 0132.25601Schoenberg, I. J. 20 1964 Arithmetic problems concerning Cauchy’s functional equation. I, II. Zbl 0132.11502Pisot, C.; Schoenberg, I. J. 5 1964 On two theorems of P. Erdős and A. Rényi. Zbl 0099.03704Schoenberg, I. J. 3 1962 On the Besicovitch-Perron solution of the Kakeya problem. Zbl 0114.38404Schoenberg, I. J. 2 1962 Extrema for gap power series of positive real part. Zbl 0136.37702Schoenberg, I. J. 2 1962 On certain minima related to the Besicovitch-Kakeya problem. Zbl 0123.39103Schoenberg, I. J. 1 1962 On the unicity of solutions of problems of best approximations. Zbl 0099.04602Schoenberg, I. J.; Yang, C. T. 22 1961 On Jordan arcs and Lipschitz classes of functions defined on them. Zbl 0128.05501Besicovitch, A. S.; Schoenberg, I. J. 6 1961 An extremum problem for polynomials. Zbl 0097.04902Schoenberg, I. J.; Szegö, Gábor 10 1960 On the question of unicity in the theory of best approximation. Zbl 0099.04601Schoenberg, I. J. 6 1960 The integrability of certain functions and related summability methods. I, II. Zbl 0089.04002Schoenberg, I. J. 385 1959 On variation diminishing transformations on the circle. Zbl 0147.10603Mairhuber, J. C.; Schoenberg, I. J.; Williamson, R. E. 13 1959 On variation diminshing approximation methods. Zbl 0083.28902Schoenberg, I. J. 12 1959 On the maxima of certain Hankel determinants and the zeros of the classical orthogonal polynomials. Zbl 0090.04401Schoenberg, I. J. 10 1959 On a conjecture concerning schlicht functions. Zbl 0089.05102Epstein, Bernard; Schoenberg, I. J. 7 1959 Remarks on de la Vallée Poussin means and convex conformal maps of the circle. Zbl 0084.27901Pólya, George; Schoenberg, I. J. 71 1958 Spline functions, convex curves and mechanical quadrature. Zbl 0085.33701Schoenberg, I. J. 23 1958 Some extremal problems for positive definite sequences and related extremal convex conformal maps of the circle. Zbl 0079.10005Schoenberg, I. J. 1 1958 On the zeros of the generating functions of multiply positive sequences and functions. Zbl 0065.34301Schoenberg, I. J. 26 1955 A note on multiply positive sequences and the Descartes rule of signs. Zbl 0065.25101Schoenberg, I. J. 4 1955 The relaxation method for linear inequalities. Zbl 0055.35002Motzkin, T. S.; Schoenberg, I. J. 160 1954 ...and 69 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,671 Authors 47 Porcu, Emilio 47 Schoenberg, Isaac Jacob 36 Savaş, Ekrem 35 Et, Mikail 34 Menegatto, Valdir Antonio 26 Micchelli, Charles A. 25 Goodman, Timothy N. T. 24 Lee, Seng Luan 23 Ma, Chunsheng 21 Hazarika, Bipan 20 Hayotov, Abdullo Rakhmonovich 20 Peron, Ana Paula 20 Sun, Xingping 19 Das, Pratulananda 19 Ghosal, Sanjoy Kr 19 Sharma, Ambikeshwar 18 Altin, Yavuz 17 Dündar, Erdinç 17 Khare, Apoorva 17 Le Gia, Quoc Thong 16 Guella, Jean Carlo 16 Shadimetov, Kholmat Mahkambaevich 16 Ward, Joseph Dinneen 15 Altinok, Hifsi 15 de Boor, Carl 15 Karlin, Samuel 15 Schempp, Walter Johannes 15 Schumaker, Larry L. 14 Esi, Ayhan 13 Chui, Charles Kam-tai 13 Emery, Xavier 13 Guillot, Dominique 13 Mursaleen, Mohammad 13 Sloan, Ian Hugh 12 Alfakih, Abdo Y. 12 Censor, Yair 12 Çolak, Rifat 12 Nuray, Fatih 12 Riemenschneider, Sherman D. 11 Madych, Wolodymyr R. 11 Mohiuddine, Syed Abdul 11 Naor, Assaf 11 Pinkus, Allan M. 11 Şengül, Hacer 11 Tripathy, Binod Chandra 11 Zastavnyĭ, Viktor Petrovich 10 Alpay, Daniel Aron 10 Maehara, Hiroshi 10 Peña, Juan Manuel 10 Unser, Michael A. 10 Vallentin, Frank 10 Zheludev, Valery A. 9 Agarwal, Ravi P. 9 Alotaibi, Abdullah M. 9 Jørgensen, Palle E. T. 9 Narcowich, Francis J. 9 Ruscheweyh, Stephan 8 Averbuch, Amir Z. 8 Baxter, Brad J. C. 8 Belton, Alexander C. R. 8 Bhardwaj, Vinod Kumar 8 Boyanov, Borislav Dechev 8 Butzer, Paul Leo 8 Cakalli, Huseyin 8 Cinar, Muhammed 8 Dahmen, Wolfgang A. 8 de Oliveira Filho, Fernando Mário 8 Dyn, Nira 8 Gröchenig, Karlheinz 8 Isik, Mahmut 8 Jetter, Kurt 8 Kamali, Zeinab 8 Kumar, Vijay 8 Levesley, Jeremy 8 Li, Chin-Shang 8 Mateu, Jorge 8 Nozaki, Hiroshi 8 Putinar, Mihai 8 Qi, Houduo 8 Toraichi, Kazuo 8 Volkov, Yuriĭ Stepanovich 8 Wang, Renhong 8 Weston, Anthony 8 Wong, Patricia J. Y. 7 Barton, Michael H. 7 Bejancu, Aurelian jun. 7 Buhmann, Martin Dietrich 7 Deza, Michel Marie 7 Kışı, Ömer 7 Liberti, Leo 7 Milovanović, Gradimir V. 7 Plonka, Gerlind 7 Šalát, Tibor 7 Schröder, Viktor M. H. 7 Seatzu, Sebastiano 7 Sharma, Sunil Kumar 7 Shinohara, Masashi 7 Tzimbalario, Jean 7 Vinogradov, Oleg Leonidovich 7 Wendland, Holger ...and 3,571 more Authors all top 5 Cited in 612 Serials 263 Journal of Approximation Theory 121 Journal of Mathematical Analysis and Applications 92 Linear Algebra and its Applications 90 Transactions of the American Mathematical Society 78 Proceedings of the American Mathematical Society 74 Journal of Computational and Applied Mathematics 51 Numerische Mathematik 40 Constructive Approximation 39 Applied Mathematics and Computation 38 Mathematics of Computation 35 Journal of Multivariate Analysis 33 Journal d’Analyse Mathématique 32 Filomat 32 Journal of Inequalities and Applications 31 Advances in Computational Mathematics 30 Mathematische Zeitschrift 29 Bulletin of the American Mathematical Society 28 Computers & Mathematics with Applications 28 Mathematical Notes 28 Computer Aided Geometric Design 27 Applied and Computational Harmonic Analysis 25 Israel Journal of Mathematics 25 Statistics & Probability Letters 25 Numerical Algorithms 23 Discrete Mathematics 23 Advances in Mathematics 22 Calcolo 22 Communications in Statistics. 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Nordisk Tidskrift for Informationsbehandling 8 Mathematical Geosciences ...and 512 more Serials all top 5 Cited in 62 Fields 884 Approximations and expansions (41-XX) 712 Numerical analysis (65-XX) 368 Sequences, series, summability (40-XX) 343 Functional analysis (46-XX) 325 Statistics (62-XX) 304 Probability theory and stochastic processes (60-XX) 297 Harmonic analysis on Euclidean spaces (42-XX) 225 Combinatorics (05-XX) 207 Operations research, mathematical programming (90-XX) 195 Linear and multilinear algebra; matrix theory (15-XX) 176 Real functions (26-XX) 169 Functions of a complex variable (30-XX) 151 Operator theory (47-XX) 132 Convex and discrete geometry (52-XX) 120 Abstract harmonic analysis (43-XX) 118 Number theory (11-XX) 116 Computer science (68-XX) 112 Geometry (51-XX) 111 Special functions (33-XX) 94 General topology (54-XX) 85 Information and communication theory, circuits (94-XX) 76 Partial differential equations (35-XX) 55 Integral transforms, operational calculus (44-XX) 51 Differential geometry (53-XX) 47 Ordinary differential equations (34-XX) 43 Measure and integration (28-XX) 41 Algebraic geometry (14-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Topological groups, Lie groups (22-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 38 Systems theory; control (93-XX) 37 Fluid mechanics (76-XX) 35 Geophysics (86-XX) 34 Statistical mechanics, structure of matter (82-XX) 32 Group theory and generalizations (20-XX) 29 Integral equations (45-XX) 28 Potential theory (31-XX) 27 Dynamical systems and ergodic theory (37-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 Biology and other natural sciences (92-XX) 23 Commutative algebra (13-XX) 23 Difference and functional equations (39-XX) 20 Mechanics of deformable solids (74-XX) 20 Quantum theory (81-XX) 18 Several complex variables and analytic spaces (32-XX) 13 Manifolds and cell complexes (57-XX) 12 History and biography (01-XX) 12 Mathematical logic and foundations (03-XX) 12 Field theory and polynomials (12-XX) 11 Algebraic topology (55-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 7 General and overarching topics; collections (00-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Mechanics of particles and systems (70-XX) 5 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 \(K\)-theory (19-XX) 3 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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