Schoenberg, I. J.
Overview
Works:  213 works in 385 publications in 5 languages and 1,889 library holdings 

Roles:  Author, Editor 
Classifications:  QA7, 510 
Publication Timeline
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Most widely held works about
I. J Schoenberg
 Schoenberg, I.J., papers by I. J Schoenberg I. J Schoenberg( )
 George Polya papers by George Pólya George Pólya( )
Most widely held works by
I. J Schoenberg
Mathematical time exposures
by
I. J Schoenberg(
Book
)
9 editions published between 1982 and 1989 in 3 languages and held by 491 WorldCat member libraries worldwide
9 editions published between 1982 and 1989 in 3 languages and held by 491 WorldCat member libraries worldwide
Approximations, 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 57, 1969
by
I. J Schoenberg(
Book
)
16 editions published in 1969 in 3 languages and held by 433 WorldCat member libraries worldwide
16 editions published in 1969 in 3 languages and held by 433 WorldCat member libraries worldwide
Cardinal spline interpolation
by
I. J Schoenberg(
Book
)
24 editions published between 1973 and 1993 in English and Italian and held by 420 WorldCat member libraries worldwide
As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of Bsplines, including B splines with equidistant knots and cardinal splines represented in terms of Bsplines, and exponential Euler splines, leading to the most important case and central problem of the book cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semicardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms
24 editions published between 1973 and 1993 in English and Italian and held by 420 WorldCat member libraries worldwide
As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of Bsplines, including B splines with equidistant knots and cardinal splines represented in terms of Bsplines, and exponential Euler splines, leading to the most important case and central problem of the book cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semicardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms
Selected papers
by
I. J Schoenberg(
Book
)
7 editions published in 1988 in English and held by 141 WorldCat member libraries worldwide
7 editions published in 1988 in English and held by 141 WorldCat member libraries worldwide
Selected papers
by
I. J Schoenberg(
Book
)
4 editions published in 1988 in English and German and held by 30 WorldCat member libraries worldwide
4 editions published in 1988 in English and German and held by 30 WorldCat member libraries worldwide
Selected papers
by
I. J Schoenberg(
Book
)
4 editions published in 1988 in English and German and held by 28 WorldCat member libraries worldwide
4 editions published in 1988 in English and German and held by 28 WorldCat member libraries worldwide
I. J. Schoenberg selected papers
by
I. J Schoenberg(
)
2 editions published in 1988 in Miscellaneous languages and English and held by 17 WorldCat member libraries worldwide
2 editions published in 1988 in Miscellaneous languages and English and held by 17 WorldCat member libraries worldwide
On cardinal spline smoothing
by
I. J Schoenberg(
Book
)
6 editions published between 1977 and 1979 in English and held by 6 WorldCat member libraries worldwide
6 editions published between 1977 and 1979 in English and held by 6 WorldCat member libraries worldwide
The Landau problem for motions in a ring and in bounded continua
by
I. J Schoenberg(
Book
)
5 editions published in 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
5 editions published in 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
On Chebyshev and Markovtype problems for polynomials in circular ring
by
I. J Schoenberg(
Book
)
5 editions published in 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
5 editions published in 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Splines and the logarithmic function
by
Donald J Newman(
Book
)
6 editions published in 1974 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Let q be fixed, q>1, and let f(x) = log x/log q in (0, pos infinity). The paper determines the unique spline function (S sub n)(x), of degree n, defined in (0, pos infinity) and having as knots the points of the sequence (q sup nu) (neg infinity <nu <infinity), such as to satisfy the conditions (S sub n)(qx) = (Sub n)(x) + 1 if x>0, and (S sub n)(1) = 0. It follows that (S sub n)(q nu) = f(q sup nu) for all integers nu. It is shown that (S sub n)(x) shares with f(x) its monotonicity properties of hither order. Nevertheless and against all expectations it is shown that (S sub n)(x) does not converge to f(x) as n nears infinity. Most of the paper is devoted to an analysis of the peculiar asymptotic behavior of (S sub n)(x)
6 editions published in 1974 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Let q be fixed, q>1, and let f(x) = log x/log q in (0, pos infinity). The paper determines the unique spline function (S sub n)(x), of degree n, defined in (0, pos infinity) and having as knots the points of the sequence (q sup nu) (neg infinity <nu <infinity), such as to satisfy the conditions (S sub n)(qx) = (Sub n)(x) + 1 if x>0, and (S sub n)(1) = 0. It follows that (S sub n)(q nu) = f(q sup nu) for all integers nu. It is shown that (S sub n)(x) shares with f(x) its monotonicity properties of hither order. Nevertheless and against all expectations it is shown that (S sub n)(x) does not converge to f(x) as n nears infinity. Most of the paper is devoted to an analysis of the peculiar asymptotic behavior of (S sub n)(x)
On semicardinal quadrature formulae
by
I. J Schoenberg(
Book
)
4 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
Two applications of approximate differentiation formulae : an extremum problem for multiply monotone functions and the differentiation of asymptotic expansions
by
I. J Schoenberg(
Book
)
3 editions published in 1980 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1980 in English and held by 4 WorldCat member libraries worldwide
Remarks on two geometric conjectures of L. Fejes Tóth
by
I. J Schoenberg(
Book
)
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
Extremum problems for the motions of a billiard ball : IV. A higherdimensional analogue of Kepler's stella octangula
by
I. J Schoenberg(
Book
)
3 editions published in 1980 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1980 in English and held by 4 WorldCat member libraries worldwide
On monosplines of least deviation and best quadrature formulae, II
by
I. J Schoenberg(
Book
)
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
On polynomial interpolation in the points of a geometric progression, Stirling, Schellbach, Runge and Romberg
by
I. J Schoenberg(
Book
)
3 editions published in 1981 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1981 in English and held by 4 WorldCat member libraries worldwide
On remainders and the convergence of cardinal spline interpolation for almost periodic functions
by
I. J Schoenberg(
Book
)
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
5 editions published in 1974 in English and Undetermined and held by 4 WorldCat member libraries worldwide
The elementary cases of Landau's problem of inequalities between derivatives
by
I. J Schoenberg(
Book
)
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
Hausdorff's moment problem and expansions in Legendre polynomials
by
Richard Askey(
Book
)
3 editions published in 1980 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1980 in English and held by 4 WorldCat member libraries worldwide
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Related Identities
 Mathematics Research Center (United States. Army)
 University of Wisconsin
 De Boor, Carl Author Editor
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 University of WisconsinMadison Mathematics Research Center
 Conference Board of the Mathematical Sciences
 Society for Industrial and Applied Mathematics
 Boor, Carl de Editor
 Boor, Carl de 18481923 Editor
 Sharma, A.
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Associated Subjects
Almost periodic functions Approximation theory Asymptotic expansions Bernays, Paul, Bieberbach, Ludwig, Bohr, Harald August, Borel, Emile, Brentano, Franz, Chebyshev polynomials Convex domains CurvesRectification and quadrature De Finetti, Bruno Erdős, Paul, Frege, Gottlob, Haar, Alfréd, Hadamard, Jacques, Harary, Frank Hilbert, David, Hille, Einar, Hurwitz, Adolf, Inequalities (Mathematics) Interpolation Jacobi polynomials Knuth, Donald Ervin, Landau, Edmund, Legendre's polynomials Lehmer, D. H.(Derrick Henry), Logarithmic functions Markov processes Mathematics MathematicsStudy and teaching Monotonic functions Montel, Paul, Numerical analysisAcceleration of convergence Numerical differentiation Ostrowski, A. M.(Alexander Markowich), Pfluger, Albert, Pringsheim, Alfred, Runge, Carl, Schoenberg, I. J Schur, Issai, Sierpiński, Wacław, Sommerfeld, Arnold, Spline theory Stanford University.Department of Mathematics Stern, Alfred Szegő, Gábor, Universities and collegesFaculty Variational principles Weyl, Hermann,
Alternative Names
Schoenberg, I. J.
Schoenberg, I. J. 19031990
Schoenberg, Isaac J.
Schoenberg, Isaac Jacob 19031990
Schoenberg, Iso
シェーンベルグ, I. J
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