Theodore J. Rivlin

Theodore J. Rivlin's AcademicInfluence.com Rankings

Theodore J. Rivlin

Mathematics

#5965

World Rank

#8337

Historical Rank

#1870

USA Rank

Measure Theory

#1793

World Rank

#2197

Historical Rank

#567

USA Rank

mathematics Degrees

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Mathematics

Why Is Theodore J. Rivlin Influential?

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According to Wikipedia, Theodore Joseph Rivlin was an American mathematician, specializing in approximation theory. He is known for his 1969 book An Introduction to the Approximation of Functions , which became a standard text.

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Theodore J. Rivlin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Chebyshev polynomials (1974) (1783)
An Introduction to the Approximation of Functions (2003) (589)
Chebyshev polynomials : from approximation theory to algebra and number theory (1990) (508)
A Survey of Optimal Recovery (1977) (365)
Optimal Estimation in Approximation Theory (1977) (159)
A Unified Approach to Certain Problems of Approximation and Minimization (1961) (148)
Iterates of Bernstein polynomials. (1967) (131)
Lectures on optimal recovery (1985) (125)
On a theorem of S. Bernstein (1955) (115)
The optimal recovery of smooth functions (1976) (89)
Bounds on a polynomial (1970) (86)
The growth of polynomials bounded at equally spaced points (1992) (67)
Ergodic and mixing properties of Chebyshev polynomials (1964) (60)
Approximation in the metric of (1965) (57)
A Comparison of Uniform Approximations on an Interval and a Finite Subset Thereof (1966) (53)
Some Numerical Experiments in the Theory of Polynomial Interpolation (1965) (49)
Polynomials of best uniform approximation to certain rational functions (1962) (36)
Turán formulae and highest precision quadrature rules for chebyshev coefficients (1972) (33)
Optimally Stable Lagrangian Numerical Differentiation (1975) (32)
Approximation of monomials by lower degree polynomials (1976) (32)
Quadrature formulae and Hermite-Birkhoff interpolation (1973) (30)
The zeros of the partial sums of the exponential function (1972) (29)
Approximation in the Metric of L 1 (X,μ) (1965) (28)
Theoretical calculations in gaseous detonation (1960) (28)
Extreme Points of the Unit Ball in a Space of Real Polynomials (1966) (27)
The lebesgue constants for polynomial interpolation (1974) (27)
Ultra-arithmetic I: Function data types (1982) (27)
The Degree of Approximation of Certain Functions of Two Variables by a Sum of Functions of One Variable (1965) (25)
Numerical integration rules near gaussian quadrature (1973) (24)
Some uniqueness problems in approximation theory (1960) (24)
Rate of Convergence of Shepard ' s Global Interpolation Formula (2010) (24)
A family of Gauss-Kronrod quadrature formulae (1988) (23)
Another Look at the Chebyshev Polynomials (1983) (23)
Approximation by circles (1979) (21)
Ultra-arithmetic II: intervals of polynomials (1982) (19)
On the Maximum Modulus of Polynomials (1960) (17)
A rational approximation to the logarithm (1968) (16)
On Walsh equiconvergence (1982) (16)
OPTIMAL UNIVERSALLY STABLE INTERPOLATION (1983) (16)
A note on some Lebesgue constants (1976) (13)
An optimal property of Chebyshev expansions (1969) (13)
WHEN IS a TEAM ”MATHEMATICALLY“ ELIMINATED? (2015) (11)
Correction: The zeros of the partial sums of the exponential function (1976) (10)
Some new characterizations of the Chebyshev polynomials (1974) (10)
Some polynomial approximation operators (1975) (10)
Some explicit polynomial approximations in the complex domain (1967) (10)
Approximate Methods of Higher Analysis (L. V. Kantorovich and V. I. Krylov) (1960) (9)
Approximation of Functions (1967) (8)
Joseph L. Walsh : selected papers (2000) (6)
On Polynomials with Curved Majorants (1982) (6)
Some remarks on multivariate Chebyshev polynomials (1997) (6)
Funktionalanalysis Approximationstheorie Numerische Mathematik (1967) (5)
Some best polynomial approximations in the plane (1968) (5)
A Survey of Recent Results on Optimal Recovery (1979) (5)
Overdetermined Systems of Linear Equations (1963) (4)
The Representation of Functions in Terms of Their Divided Differences at Chebyshev Nodes and Roots of Unity (1990) (4)
Joseph L. Walsh (2000) (4)
A continuous function whose divided differences at the Chebyshev extrema are all zero (1986) (4)
A view of approximation theory (1987) (4)
The best strong uniqueness constant for a multivariate Chebyshev polynomial (1984) (3)
Advanced Problems: 6084-6089 (1976) (3)
Optimal estimation in approximation theory : [proceedings of an International Symposium on Optimal Estimation in Approximation Theory held in Freudenstadt, Federal Republic of Germany, September 27-29, 1976] (1977) (3)
The bounded linear operators that commute with the Bernstein operators (1968) (2)
A characterization of the weights in a divided difference. (1981) (2)
Gauss quadrature for analytic functions (1988) (2)
A Note on Smooth Interpolation (1960) (2)
A Duality Theorem and Upper Bounds for Approximation (1969) (2)
An optimal recovery view of Walsh's equiconvergence theorem (1987) (2)
Optimal Recovery of the Derivative of Bounded Analytic Functions (1983) (2)
Blaschke products and optimal recovery inH∞ (1987) (2)
Polynomial approximation and the τ-method (1968) (2)
The strong uniqueness constant in complex approximation (1984) (1)
Lanczos' τ-method and polynomial approximation in the plane (1968) (1)
Preface A collection of papers to commemorate the Cornelius Lanczos centennial (1997) (1)
Conditions for Integrand of an Improper Integral to be Bounded or Tend to Zero (1960) (1)
Optimal recovery of multivariate contractions (1986) (0)
Bounds for Trigonometric Polynomials (1976) (0)
BOUNDS FOR TRIGONOMETRIe POLYNOMIALS (1976) (0)
A Gauss-Lucas theorem on the location of the roots of a polynomial (1991) (0)
Some properties of polynomials bounded at equally spaced points (1994) (0)
A Property of the Ratio of Trigonometric Polynomials (1964) (0)
ON SUFFICIENT CONDITIONS FOR OVERCONVERGENCE 1 (2010) (0)
American Mathematical Society Edited by with the Cooperation of Index to Volume 15 [december Cohomology of Groups in Arbitrary Categories (0)
ON THE CONVERGENCE OF ITERATED EXPONENTIATION — 11 * (2010) (0)
Problems for Solution: E1401-E1405 (1960) (0)
On sufficient conditions for overconvergence (1955) (0)
ON SUFFICIENT CONDITIONS FOR OVERCONVERGENCE1 (2010) (0)
Review: Robert P. Feinerman and Donald J. Newman, Polynomial approximation (1975) (0)

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