George G. Lorentz | Academic Influence

George G. Lorentz's AcademicInfluence.com Rankings

George G. Lorentz

Mathematics

#1930

World Rank

#3062

Historical Rank

#777

USA Rank

Measure Theory

#483

World Rank

#687

Historical Rank

#200

USA Rank

mathematics Degrees

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Mathematics

George G. Lorentz's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is George G. Lorentz Influential?

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According to Wikipedia, George Gunter Lorentz was a Russian-American mathematician. Biography Lorentz was born in St. Petersburg. His father, Rudolf Fedorovich Lorentz, was a German railway engineer and his mother Milena Nikolayevna Chegodayev came from the Russian nobility. Since his father refused in 1906 to suppress a strike, he was no longer allowed to work on the state railway, so he worked for private railway companies in the Caucasus. The family survived the revolutionary turmoil and civil war near Sochi and then moved to Tbilisi, where he began studying at the Technical University in 1926. From 1928 he studied at the University of Leningrad with the diploma degree in 1931 and the candidate's degree in 1935 .

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George G. Lorentz'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

Constructive Approximation (1993) (2151)
Approximation of Functions (1968) (1014)
A contribution to the theory of divergent sequences (1948) (796)
Some New Functional Spaces (1950) (365)
Constructive approximation : advanced problems (1996) (363)
On the theory of spaces $\Lambda$. (1951) (231)
An Inequality for Rearrangements (1953) (176)
Metric entropy and approximation (1966) (168)
Deferred Bernstein polynomials (1951) (131)
Approximation Theory II (1976) (128)
Degree of approximation by monotone polynomials I (1968) (102)
Inverse Theorems for Bernstein Polynomials (1997) (88)
Interpolation theorems for operators in function spaces (1968) (79)
METRIC ENTROPY, WIDTHS, AND SUPERPOSITIONS OF FUNCTIONS (1962) (76)
A Problem of Plane Measure (1949) (75)
The degree of approximation by polynomials with positive coefficients (1963) (75)
Relations between function spaces (1961) (69)
Approximation Theory and Functional Analysis. (1992) (62)
APPROXIMATION BY INCOMPLETE POLYNOMIALS (PROBLEMS AND RESULTS) (1977) (53)
Monotone approximation by algebraic polynomials (1970) (47)
Interpolation theorems for the pairs of spaces (^{},^{∞}) and (¹,^{}) (1971) (45)
Interpolation Theorems for the Pairs of Spaces (L p , L ∞ ) and (L 1 L q ) (1971) (42)
Direct Theorems on Methods of Summability (1949) (39)
Andrei Nikolaevich Kolmogorov (1903–1987) (1990) (34)
On a problem of additive number theory (1954) (33)
Solvability problems of bivariate interpolation I (1986) (28)
Borel and Banach properties of methods of summation (1955) (28)
Mathematics and Politics in the Soviet Union from 1928 to 1953 (2002) (27)
Representation of Linear Functionals on Köthe Spaces (1953) (26)
Geometric theory of Korovkin sets (1975) (26)
Birkhoff interpolation and the problem of free matrices (1972) (25)
The 13-Th Problem of Hilbert (1997) (25)
Saturation of positive operators (1972) (25)
Multiply Subadditive Functions (1952) (24)
Inequalities and the Saturation Classes of Bernstein Polynomials (1964) (23)
Problems in approximation theory (1977) (22)
Birkhoff interpolation problem: Coalescence of rows (1975) (21)
Majorants in Spaces of Integrable Functions (1955) (20)
Tauberian theorems and Tauberian conditions (1948) (20)
Continuity of the Birkhoff Interpolation (1982) (20)
Lower bounds for the degree of approximation (1960) (20)
Bivariate hermite interpolation and applications to Algebraic Geometry (1990) (20)
Distribution of alternation points in uniform polynomial approximation (1984) (17)
Bounds for polynomials with applications (1979) (16)
The Birkhoff Interpolation Problem: New Methods and Results (1974) (16)
Summation of sequences and summation of series (1964) (15)
Zeros of splines and Birkhoff's kernel (1975) (14)
Recent Progress in Birkhoff Interpolation (1979) (13)
On the probability that n. and g(n) are relatively prime (1959) (13)
Who discovered analytic sets? (2001) (12)
Sequences of contractions on L1-spaces☆ (1974) (12)
Uniform approximation by polynomials with positive coefficients (1961) (12)
Birkhoff Interpolation by G. G. Lorentz (1984) (11)
INTERPOLATION THEOREMS FOR THE PAIRS OF SPACES (LP,L°°) AND (L1,L9)(1) (2010) (11)
STRONG AND ORDINARY SUMMABILITY (1963) (11)
Bernstein inequalities in $L_p, 0\leq p\leq +\infty$ (1989) (10)
Bernstein Inequalities in Lp, 0 ≤ p ≤ +∞ (1997) (10)
Coalescence of matrices, regularity and singularity of Birkhoff interpolation problems (1977) (10)
Boolean rings and Banach lattices (1959) (10)
Birkhoff Interpolation: Introduction (1984) (9)
Core-Consistency and Total Inclusion for Methods of Summability (1954) (9)
Mathematics from Leningrad to Austin (1997) (9)
Approximation of smooth functions (1960) (8)
Series rearrangements and analytic sets (1958) (8)
On a theorem of Kadec (1988) (8)
Korovkin Theorems for Sequences of Contractions on LP-Spaces (1974) (8)
Notes on approximation (1989) (8)
Direct theorems on methods of summability III: absolute summability functions (1953) (7)
Tauberian theorems for absolute summability (1954) (7)
Derivatives of polynomials with positive coefficients (1968) (6)
Birkhoff Quadrature Matrices (1978) (6)
Birkhoff Interpolation: Almost-Hermitian Matrices; Special Three-Row Matrices (1984) (6)
Theorems of Korovkin Type for Positive Linear Operators on Banach Lattices (1997) (6)
Remark on a Paper of Visser (1960) (6)
Unbounded Operators and a Theorem of A. Robinson (1997) (6)
Entropy and Its Applications (1964) (6)
A proof of Borsuk's theorem (1988) (5)
Independent sets of knots and singularity of interpolation matrices (1980) (5)
Solvability of multivariate interpolation (1989) (5)
ROLLE THEOREM METHOD IN SPLINE INTERPOLATION (1983) (5)
Incomplete polynomials of best approximation (1978) (4)
Asymptotics of Weighted Polynomials (1992) (4)
Interpolation Theorems for Spaces Λ (1969) (4)
Convergence theorems for polynomials with many zeros (1984) (4)
Majorants for Interpolation Theorems (1997) (4)
Solvability of multivariate interpolation. (1989) (3)
Direct Theorems on Methods of Summability II (1951) (3)
Multiplicity of Representation of Integers By Sums of Elements of Two Given Sets (1953) (3)
A CONTRIBUTION TO THE THEORY OF DIVERGENT (2006) (3)
$o$-but not $O$-Tauberian theorems (1974) (3)
Trigonometric polynomials with many real zeros (1985) (3)
Projections of Minimal Norm (1997) (3)
Operations in linear metric spaces (1948) (2)
Birkhoff Interpolation: Birkhoff Interpolation by Splines (1984) (2)
Problems of Polynomial Approximation (1996) (2)
Independent knots in Birkhoff interpolation (1976) (2)
Representation of Functions by Superpositions (1996) (2)
Probabilistic approach to Schoenberg's problem in Birkhoff interpolation (1979) (2)
Approximation theory III : proceedings of a conference honoring Professor George G. Lorentz, held at the University of Texas at Austin, January 8-12, 1980 (1980) (2)
Problems for Solution: 4528,4543-4547 (1953) (1)
Theorems of Weierstrass (1993) (1)
Advanced Problems: 5734-5739 (1970) (1)
Positive and Monotone Approximation (1972) (1)
Convergence of positive operators (1976) (1)
BIRKHOFF INTERPOLATION: SOME APPLICATIONS OF COALESCENCE (1980) (1)
Riesz Methods of Summation and Orthogonal Series (1997) (1)
Concave functions, rearrangements, and Banach lattices. (1960) (1)
The Analytic Character of the Birkhoff Interpolation Polynomials (1982) (1)
Mathematics from Leningrad to Austin : George G. Lorentz' selected works in real, functional and numerical analysis (1997) (1)
Proofs in Mathematics (1997) (1)
Superpositions, Metric Entropy, Complexity of Functions, Widths (1997) (1)
Convergence of Sequences of Operators (1996) (0)
Open Problems of Approximation (1997) (0)
Wavelets and Orthogonal Expansions (1996) (0)
Birkhoff Interpolation: Bibliography and References (1984) (0)
Applications of Coalescence (1984) (0)
Spline Interpolation and Projections onto Spline Spaces (1993) (0)
Birkhoff Interpolation: Singular Matrices (1984) (0)
The work of P. Tur?n on interpolation and approximation (1980) (0)
Review: Harry Raymond Pitt, Tauberian theorems (1960) (0)
Properties of Polynomials (1993) (0)
[Atrial dissociation]. (1983) (0)
Interpolation theorems for the pairs of spaces $(L\sp{p},\,L\sp{\infty })$ and $(L\sp{1},\,L\sp{q})$ (1971) (0)
Approximation theory II : proceedings of an international symposium conducted by the University of Texas at Austin, Texas, January 18-21, 1976 (1976) (0)
Symmetry in Birkhoff Matrices (1997) (0)
Stahl’s Theorem (1996) (0)
Classical Interpolation by Polynomials in Two Variables (1986) (0)
Schoenberg’s work on Hermite-Birkhoff interpolation (1988) (0)
Turán's Problem of (0, 2) Interpolation (1984) (0)
Introduction to measure theory (1950) (0)
Influence of Endpoints in Polynomial Approximation (1993) (0)
Polynomial Approximation with Constraints (1996) (0)
Birkhoff Quadrature Formulas (1984) (0)
Coalescence of Rows (1984) (0)
Further Elementary Theorems (1984) (0)
K-Functionals and Interpolation Spaces (1993) (0)
Spaces of Functions (1993) (0)
Mathematical Surveys, No. 9: Linear Approximation . Arthur Sard. American Mathematical Society, Providence, R.I., 1963. xii + 544 pp. Illus. $16.80. (1964) (0)
Approximation by Operators (1993) (0)
Birkhoff Interpolation: Regularity Theorems and Self-Dual Problems (1984) (0)
Antoni Zygmund and his work (1993) (0)
Writing Mathematical Books (1997) (0)
Theorem of Budan-Fourier and Birkhoff interpolation (1983) (0)
Interpolation and Approximation, by Philip J. Davis. Biaisdeli Publishing Company, New York-Toronto-London, 1963. xiv + 393 pages. $12.50. (1964) (0)
Birkhoff Interpolation: Interpolation at the Roots of Unity (1984) (0)
Widths II: Weak Asymptotics for Lipschitz Balls, Random Approximants (1996) (0)
Proceedings of an International Symposium Conducted by the University of Texas and the National Science Foundation, January 22-24, 1973 (1975) (0)
The work of G. G. Lorentz (1975) (0)
Hardy Space Methods in Rational Approximation (1996) (0)
Bernstein-type Inequalities for Exponential Sums and Linear Combinations of Shifted Gaussians (2008) (0)
A Report on the University of Leningrad (1997) (0)
Problems for Solution: 4513-4517 (1952) (0)
Probability and interpolation (1981) (0)
Central Theorems of Approximation (1993) (0)
Fourteen Papers on Series and Approximation (1970) (0)
Basic Definitions and Properties (1984) (0)
Linear Approximation. Arthur Sard. American Mathematical Society, Providence, R.I., 1963. xii + 544 pp. Illus. $16.80 (1964) (0)
American Mathematical Society Edited by with the Cooperation of Index to Volume 15 [december Cohomology of Groups in Arbitrary Categories (0)
Solvability of Bivariate Interpolation II, Applications (1997) (0)
Approximation of Classes of Functions, Müntz Theorems (1993) (0)
Rolle Extensions and Independent Sets of Knots (1984) (0)
LOWER BOUNDS FOR THE DEGREE OF APPROXIMATION (0 (2010) (0)
On The Work of the Mathematical Mind (1997) (0)
Zeros of Birkhoff Splines (1984) (0)
Problems for Solution: 4593-4597 (1954) (0)
Korovkin theorems for contractions and positive contractions (1997) (0)

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