Dunham Jackson
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Most Influential Person Across History
American mathematician
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Mathematics
Why Is Dunham Jackson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Dunham Jackson was a mathematician who worked within approximation theory, notably with trigonometrical and orthogonal polynomials. He is known for Jackson's inequality. He was awarded the Chauvenet Prize in 1935. His book Fourier Series and Orthogonal Polynomials was reprinted in 2004.
Dunham Jackson'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
- Fourier series and orthogonal polynomials (1941) (204)
- On approximation by trigonometric sums and polynomials (1912) (95)
- Certain problems of closest approximation (1933) (93)
- Note on the median of a set of numbers (46)
- Formal properties of orthogonal polynomials in two variables (1936) (45)
- Note on a class of polynomials of approximation (1921) (42)
- On the order of magnitude of the coefficients in trigonometric interpolation (1920) (23)
- Expansion Problems with Irregular Boundary Conditions (20)
- On the accuracy of trigonometric interpolation (1913) (18)
- A General Class of Problems in Approximation (1924) (17)
- On functions of closest approximation (15)
- A formula of trigonometric interpolation (1914) (14)
- On the degree of convergence of Sturm-Liouville series (1914) (14)
- A Proof of Weierstrass's Theorem (1934) (10)
- Series of Orthogonal Polynomials (1933) (10)
- On the application of Markoff's theorem to problems of approximation in the complex domain (1931) (9)
- The Trigonometry of Correlation (1924) (9)
- Mathematical Principles in the Theory of small Samples (1935) (7)
- On certain problems of approximation in the complex domain (1930) (7)
- Roots and Singular Points of Semi-Analytic Functions (1917) (7)
- Non-Essential Singularities of Functions of Several Complex Variables (1916) (7)
- The Algebra of Correlation (1924) (6)
- Note on certain orthogonal polynomials (1941) (5)
- The Convergence of Fourier Series (1934) (5)
- A generalized problem in weighted approximation (5)
- On the degree of convergence of the development of a continuous function according to Legendre’s polynomials (1912) (5)
- Problems of Closest Approximation on a Two-Dimensional Region (1938) (5)
- Orthogonal Trigonometric Sums (1933) (5)
- The Harmonic Boundary Value Problem for an Ellipse or an Ellipsoid (1944) (4)
- Some Notes on Trigonometric Interpolation (1927) (4)
- Boundedness of orthonormal polynomials on loci of the second degree (1944) (4)
- Orthogonal polynomials with auxiliary conditions (1940) (4)
- Note on the Picard Method of Successive Approximations (1921) (4)
- The boundedness of certain sets of orthonormal polynomials in one, two, and three variables (1945) (3)
- On the Method of Least mTH Powers For a Set of Simultaneous Equations (1924) (3)
- The method of numerical integration in exterior ballistics; ordnance textbook (3)
- Generalization of a theorem of Korous on the bounds of orthonormal polynomials (1942) (3)
- Note on trigonometric interpolation (1915) (3)
- Bernstein’s theorem and trigonometric approximation (1936) (3)
- Orthogonal polynomials on a plane curve (1937) (3)
- The Instantaneous Motion of a Rigid Body (1942) (3)
- Algebraic properties of self-adjoint systems (1916) (3)
- On the convergence of certain trigonometric and polynomial approximations (1921) (2)
- Some Convergence Proofs in the Vector Analysis of Function Space (1926) (2)
- Orthogonal polynomials in three variables (1938) (2)
- A New Class of Orthogonal Polynomials (1939) (2)
- On the approximate representation of an indefinite integral and the degree of convergence of related Fourier’s series (1913) (2)
- The boundedness of orthonormal polynomials on certain curves of the third degree (1946) (2)
- The general theory of approximation by polynomials and trigonometric sums (1921) (2)
- The Convergence of Some Non-Linear Processes of Approximation (1933) (1)
- On the approximate representation of analytic functions (1)
- Resolution into involutory substitutions of the transformations of a non-singular bilinear form into itself (1909) (1)
- Polynomial approximation on a curve of the fourth degree (1937) (1)
- The boundedness of orthonormal polynomials on certain curves of the fourth degree (1948) (1)
- The Elementary Geometry of Function Space (1924) (1)
- Orthogonal Polynomials in Two Complex Variables (1938) (1)
- Note on the parametric representation of an arbitrary continuous curve (1917) (1)
- Note on the convergence of a sequence of approximating polynomials (1931) (1)
- A Comment on "Differentials" (1942) (1)
- Note on Representations of the Partial Sum of a Fourier's Series (1917) (1)
- Note on an ambiguous case of approximation (1923) (1)
- A Class of Orthogonal Functions on Plane Curves (1939) (1)
- The summation of series of orthogonal polynomials (1934) (1)
- Note on a problem in approximation with auxiliary conditions (1926) (1)
- On approximation by functions of given continuity (1923) (1)
- Legendre Functions of the Second Kind and Related Functions (1943) (1)
- II. Relating to a Problem in Minima (1)
- Problems of Approximation with Integral Auxiliary Conditions (1933) (1)
- On the Trigonometric Representation of an Ill-Defined Function (1924) (1)
- Discussions: Relating to a Problem in Minima (1)
- On a tensor of the second rank in function space (1926) (1)
- Some non-linear problems in approximation (1928) (1)
- A note on closest approximation (1929) (0)
- Proof of a theorem of Haskins (1916) (0)
- Note on relations connecting certain cases of convergence in the mean (1934) (0)
- Note on an irregular expansion problem (0)
- A Problem in Minima (0)
- The geometry of frequency functions (0)
- Statistical Reasoning: Elements of Statistical Reasoning . By Alan E. Treloar, Ph.D. xi + 261 pp. New York: John Wiley and Sons. 1939. $3.25. (1942) (0)
- Book Review: Theorie der reellen Funktionen (1922) (0)
- The Notion of Limit (1924) (0)
- Specimen Answers of College Candidates in Plane Geometry written at the Examinations in June, 1920. (1921) (0)
- Note on rational functions of several complex variables. (0)
- The Human Significance of Mathematics (1928) (0)
- Orthogonal Polynomials: Orthogonal Polynomials . By Gabor Szegö. ix +401 pp. Colloquium Publications, vol. 23, American Mathematical Society, New York, 1939. $6.00. (1940) (0)
- The method of moments (1923) (0)
- Note on a convergence proof (0)
- Fourier Series and Orthogonal Polynomials: DOUBLE SERIES; LAPLACE SERIES (1941) (0)
- Hahn's Reelle Funktionen (1922) (0)
- Discussions: Note on the Convergence of Fourier Series (0)
- De la Vallée Poussin on Approximations (0)
- An elementary boundary value problem (1916) (0)
- STATISTICAL APPLICATIONS OF ELEMENTARY MATHEMATICS (1930) (0)
- COLLEGE ENTRANCE REQUIREMENTS IN GEOMETRY (1930) (0)
- Discussions: Mass and Force in Elementary Dynamics (1917) (0)
- A symmetric coefficient of correlation for several variables (1924) (0)
- Note on quartiles and allied measures (0)
- Fourier Series and Orthogonal Polynomials: JACOBI POLYNOMIALS (1941) (0)
- Note on a method of proof in the theory of Fourier's series (1920) (0)
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