Edit Profile Walsh, Joseph Leonard Compute Distance To: Compute Author ID: walsh.joseph-l Published as: Walsh, J.; Walsh, J. -L.; Walsh, J. L.; Walsh, J.-L.; Walsh, Joseph L. External Links: MGP · Wikidata · GND · MacTutor Documents Indexed: 382 Publications since 1916, including 13 Books Biographic References: 2 Publications all top 5 Co-Authors 279 single-authored 17 Sewell, Walter Edwin 16 Motzkin, Theodore Samuel 16 Nilson, Edwin N. 11 Ahlberg, J. H. 6 Seidel, Wladimir 5 Evans, John P. 5 Russell, Helen G. 4 Elliott, H. Margaret 4 Shisha, Oved 3 Fekete, Michael 3 Merriman, Gaylord Maish 3 Young, David William 2 Aharonov, Dov 2 Davis, Philip J. 2 Rubinstein, Zalman 2 Saff, Edward Barry 2 Wiener, Norbert 1 Ahlberg, J. A. 1 Curtiss, John Hamilton 1 Gaier, Dieter 1 Galbraith, Alan Stuart 1 Gauthier, Paul M. 1 Goldstein, Moïse H. jun. 1 Hille, Einar 1 Landau, Henry Jacob 1 Rosenfeld, Leon 1 Roth, Alice 1 Russell, G. H. 1 Schneider, Walter J. 1 Sharma, Ambikeshwar 1 Shohat, James Alexander 1 Sinclair, Annette 1 Thompson, Maynard 1 Zedek, Mishael all top 5 Serials 94 Bulletin of the American Mathematical Society 61 Transactions of the American Mathematical Society 58 Proceedings of the National Academy of Sciences of the United States of America 20 American Mathematical Monthly 15 Proceedings of the American Mathematical Society 11 Duke Mathematical Journal 9 Annals of Mathematics. Second Series 9 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 7 Journal d’Analyse Mathématique 7 Pacific Journal of Mathematics 6 American Journal of Mathematics 5 Journal of Approximation Theory 5 Mathematische Annalen 5 Mathematische Zeitschrift 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Mathematics and Mechanics 5 Colloquium Publications. American Mathematical Society 4 Journal of Mathematical Analysis and Applications 3 Tohoku Mathematical Journal 3 Journal of Mathematics and Physics 2 Acta Mathematica 2 Archiv der Mathematik 2 Mathematica 1 Journal of Research of the National Bureau of Standards 1 Rocky Mountain Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Bayerische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Numerical Analysis 1 Aequationes Mathematicae 1 Académie Serbe des Sciences, Publications de l’Institut Mathématique 1 Bulletin de la Société Mathématique de Belgique 1 Rendiconti del Circolo Matematico di Palermo 1 The Quarterly Journal of Pure and Applied Mathematics all top 5 Fields 12 Functions of a complex variable (30-XX) 6 Field theory and polynomials (12-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 201 Publications have been cited 2,287 times in 1,769 Documents Cited by ▼ Year ▼ The theory of splines and their applications. Zbl 0158.15901Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 554 1967 Interpolation and approximation by rational functions in the complex domain. Zbl 0013.05903Walsh, J. L. 212 1935 Interpolation and approximation by rational functions in the complex domain. Reprint of the revised ed. Zbl 0106.28104Walsh, J. L. 195 1960 A closed set of normal orthogonal functions. JFM 49.0293.03Walsh, J. L. 138 1923 Interpolation and approximation by rational functions in the complex domain. 4th ed. Zbl 0146.29902Walsh, J. L. 70 1965 The location of critical points of analytic and harmonic functions. Zbl 0041.04101Walsh, J. L. 54 1950 Note on degree of approximation to analytic functions by rational functions with preassigned poles. Zbl 0072.29003Walsh, J. L. 48 1956 The approximation of harmonic functions by harmonic polynomials and by harmonic rational functions. JFM 55.0889.05Walsh, J. L. 42 1929 On approximation by euclidean and non-euclidean translations of an analytic function. Zbl 0028.40003Seidel, W.; Walsh, J. L. 30 1941 Best approximation and convergence properties of higher-order spline approximations. Zbl 0141.06801Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 27 1965 Best approximation properties of the spline fit. Zbl 0196.48603Walsh, J. L.; Ahlberg, J. A.; Nilson, E. N. 25 1962 Overconvergence, degree of convergence and zeros of sequences of analytic functions. Zbl 0063.08149Walsh, J. L. 25 1946 Complex cubic splines. Zbl 0186.39002Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 20 1967 Least \(p\)-th power polynomials on a real finite point set. Zbl 0064.06002Motzkin, T. S.; Walsh, J. L. 20 1955 A mean value theorem for polynomials and harmonic polynomials. Zbl 0016.12302Walsh, J. L. 20 1936 Fundamental properties of generalized splines. Zbl 0136.36204Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 19 1964 On approximation to an analytic function by rational functions of best approximation. Zbl 0008.11203Walsh, J. L. 19 1934 On the derivatives of functions analytic in the unit circle and their radii of univalence and of p-valence. Zbl 0060.22002Seidel, W.; Walsh, J. L. 18 1942 Interpolation and approximation by rational functions in the complex domain. Übersetzung aus dem Englischen von A. A. Gonchar und S. Ya. Khavinson. Mit Anlage eines Artikels von S. N. Mergelyan. Zbl 0106.28103Walsh, J. L. 16 1961 Underpolynomials and infrapolynomials. Zbl 0078.26101Motzkin, T. S.; Walsh, J. L. 15 1957 On the conformal mapping of multiply connected regions. Zbl 0071.07202Walsh, J. L. 15 1956 Convergence properties of generalized splines. Zbl 0136.36301Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 14 1965 Padé approximants as limits of rational functions of best approximation. Zbl 0152.06202Walsh, J. L. 14 1964 Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions. Zbl 0098.04901Walsh, J. L.; Russell, H. G. 14 1959 The analogue for maximally convergent polynomials of Jentzsch’s theorem. Zbl 0091.06602Walsh, J. L. 14 1959 The theory of splines and their applications. (Teorija splainov i ee prilozenija.) Übersetzung aus dem Englischen von Ju. N. Subbotin. Herausgegeben von S. B. Stechkin und ergänzt von S. B. Stechkin und Yu. N. Subbotin. Zbl 0238.65001Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 13 1972 Über die Entwicklung einer analytischen Funktion nach Polynomen. JFM 52.0299.04Walsh, J. L. 13 1926 Padé approximate as limits of rational functions of best approximation, real domain. Zbl 0306.41010Walsh, Joseph L. 12 1974 On the asymptotic behavior of polynomials with extremal properties, and of their zeros. Zbl 0068.28501Fekete, M.; Walsh, J. L. 12 1955 The convergence of sequences of rational functions of best approximation. Zbl 0152.06303Walsh, J. L. 11 1964 Best approximators within a linear family on an interval. Zbl 0097.04803Walsh, J. L.; Motzkin, T. S. 11 1960 Least p-th power polynomials on a finite point set. Zbl 0072.25206Motzkin, T. S.; Walsh, J. L. 11 1956 On the degree of polynomial approximation to harmonic and analytic functions. Zbl 0035.17102Walsh, J. L.; Sewell, W. E.; Elliott, H. M. 11 1949 Sufficient conditions for various degrees of approximation by polynomials. Zbl 0023.40303Walsh, J. L.; Sewell, W. E. 11 1940 The existence of rational functions of best approximation. Zbl 0002.40101Walsh, J. L. 11 1931 Properties of analytic splines. I: Complex polynomial splines. Zbl 0185.13502Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 10 1969 Über die Entwicklung einer Funktion einer komplexen Veränderlichen nach Polynomen. JFM 52.0300.01Walsh, J. L. 10 1926 The convergence of approximating rational functions of prescribed type. Zbl 0173.31303Walsh, J. L. 9 1966 Extremal, orthogonality and convergence properties of multidimensional splines. Zbl 0136.04802Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 9 1965 Lemniscates and equipotential curves of Green’s function. Zbl 0011.02201Walsh, J. L. 9 1935 On the location of the roots of the jacobian of two binary forms, and of the derivative of a rational function. JFM 46.0127.04Walsh, J. L. 9 1918 Complex polynomial splines on the unit circle. Zbl 0203.07301Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 8 1971 Solution of the Dirichlet problem for the ellipse by interpolating harmonic polynomials. Zbl 0092.29302Walsh, J. L. 8 1960 A generalization of Faber’s polynomials. Zbl 0081.29501Walsh, J. L. 8 1958 On the derivative of a polynomial and Chebyshev approximation. Zbl 0050.06902Motzkin, T. S.; Walsh, J. L. 8 1953 Polynomial approximation to harmonic and analytic functions: generalized continuity conditions. Zbl 0037.05401Walsh, J. L.; Elliott, H. Margaret 8 1950 A theorem of Grace on the zeros of polynomials, revisited. Zbl 0126.02901Walsh, J. 7 1964 On the accuracy of the numerical solution of the Dirichlet problem by finite differences. Zbl 0052.35204Walsh, J. L.; Young, David 7 1953 Interpolation and orthonormal systems. Zbl 0049.05301Walsh, J. L.; Davis, Philip 7 1952 Bibliography on orthogonal polynomials. Zbl 0025.04103Shohat, J. A.; Hille, Einar; Walsh, J. L. 7 1940 Interpolation and approximation by rational functions in the complex domain. JFM 61.0315.01Walsh, J. L. 7 1935 Interpolation and functions analytic interior to the unit circle. Zbl 0004.40201Walsh, J. L. 7 1932 Possibility of uniform rational approximation in the spherical metric. Zbl 0322.30036Gauthier, P. M.; Roth, A.; Walsh, Joseph L. 6 1976 Extension and some applications of the coincidence theorems. Zbl 0189.35903Rubinstein, Z.; Walsh, J. L. 6 1969 The convergence of sequences of rational functions of best approximation. II. Zbl 0152.06304Walsh, J. L. 6 1965 A sequence of rational functions with application to approximation by bounded analytic functions. Zbl 0116.28202Walsh, J. L. 6 1963 Polynomials of best approximation on an interval. Zbl 0097.04901Walsh, J. L.; Motzkin, T. S. 6 1959 Polynomials of best approximation on a real finite point set. I. Zbl 0089.04801Motzkin, T. S.; Walsh, J. L. 6 1959 Sur l’approximation par fonctions rationnelles et par fonctions holomorphes bornées. Zbl 0066.05305Walsh, J. L. 6 1955 Zur Methode der variablen Gebiete bei der Randverzerrung. Zbl 0058.30404Walsh, J. L.; Gaier, D. 6 1954 On the degree of convergence of solutions of difference equations to the solution of the Dirichlet problem. Zbl 0055.08901Walsh, J. L.; Young, David 6 1954 Note on the location of zeros of extremal polynomials in the non- Euclidean plane. Zbl 0047.02003Walsh, J. L. 6 1952 Note on approximation by bounded analytic functions. Zbl 0044.07805Walsh, J. L. 6 1951 On interpolation to harmonic functions by harmonic polynomials. Zbl 0005.01703Walsh, J. L. 6 1932 Über die Entwicklung einer harmonischen Funktion nach harmonischen Polynomen. JFM 54.0510.02Walsh, J. L. 6 1928 Über den Grad der Approximation einer analytischen Funktion. JFM 52.0299.03Walsh, J. L. 6 1926 On the convergence of the Sturm-Liouville series. JFM 49.0315.02Walsh, J. L. 6 1923 Approximation to a function by a polynomial in another function. Zbl 0182.39102Walsh, J. L. 5 1969 Extensions of D. Jackson’s theorem on best polynomial mean approximation. Zbl 0174.36702Walsh, J. L.; Saff, E. B. 5 1969 Least squares and interpolation in roots of unity. Zbl 0192.16802Walsh, J. L.; Sharma, A. 5 1964 The location of the zeros of the derivative of a rational function revisited. Zbl 0126.03002Walsh, J. 5 1964 The zeros of infrapolynomials with some prescribed coefficients. Zbl 0192.16601Shisha, O.; Walsh, J. L. 5 1961 Best-approximation polynomials of given degree. Zbl 0071.06401Walsh, J. L. 5 1956 Degree of approximation on a Jordan curve. Zbl 0049.05204Walsh, J. L.; Elliott, H. Margaret 5 1952 Polynomial expansions of functions defined by Cauchy’s integral. Zbl 0049.05203Walsh, J. L. 5 1952 Interpolation and approximation by functions analytic and bounded in a given region. Zbl 0061.14210Nilson, E. N.; Walsh, J. L. 5 1944 Note on the location of zeros of the derivative of a rational function whose zeros and poles are symmetric in a circle. Zbl 0021.23703Walsh, J. L. 5 1939 On the expansion of analytic functions in series of polynomials. JFM 50.0239.03Walsh, J. L. 5 1924 An inequality for the roots of an algebraic equation. JFM 50.0045.03Walsh, J. L. 5 1924 History of the Riemann mapping theorem. Zbl 0273.30003Walsh, Joseph L. 4 1973 On the convergence of rational functions which interpolate in the roots of unity. Zbl 0264.30038Saff, E. B.; Walsh, J. L. 4 1973 Note on approximation by bounded analytic functions, problem \(\alpha\): General configurations. Zbl 0179.38102Walsh, J. L. 4 1969 Cubic splines on the real line. Zbl 0179.36502Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 4 1968 An extension of the generalized Bernstein lemma. Zbl 0182.09203Walsh, J. L. 4 1967 Note on the convergence of approximating rational functions of prescribed type. Zbl 0152.06302Walsh, J. L. 4 1963 Approximation by bounded analytic functions. Zbl 0094.04501Walsh, J. L. 4 1960 Asymptotic behavior of restricted extremal polynomials and of their zeros. Zbl 0079.29303Fekete, M.; Walsh, J. L. 4 1957 On functions analytic in a region: Approximation in the sense of least p- th powers. Zbl 0035.16904Walsh, J. L.; Nilson, E. N. 4 1949 On the degree of polynomial approximation to analytic functions: Problem \(\beta\). Zbl 0025.32004Walsh, J. L.; Sewell, W. E. 4 1941 Note on the relation between continuity and degree of polynomial approximation in the complex domain. Zbl 0017.39503Walsh, J. L.; Sewell, W. E. 4 1937 Note on degree of approximation to an integral by Riemann sums. Zbl 0016.29901Walsh, J. L.; Sewell, W. E. 4 1937 On the convergence and overconvergence of sequences of polynomials of best simultaneous approximation to several functions analytic in distinct regions. Zbl 0008.21402Walsh, J. L.; Russell, Helen G. 4 1934 On Pellet’s theorem concerning the roots of a polynomial,. JFM 50.0044.03Walsh, J. L. 4 1924 A property of Haar’s system of orthogonal functions. JFM 49.0293.02Walsh, J. L. 4 1923 On the transformation of convex point sets. JFM 48.0840.03Walsh, J. L. 4 1921 On the location of the roots of the jacobian of two binary forms, and of the derivative of a rational function. JFM 48.0086.05Walsh, J. L. 4 1921 On the convergence of sequences of rational functions. Zbl 0155.48104Walsh, J. L. 3 1967 The zeros of infrapolynomials with prescribed values at given points. Zbl 0119.06102Walsh, J. L.; Shisha, O. 3 1963 Zeros of the error function for Tchebycheff approximation in a small region. Zbl 0106.28105Motzkin, T. S.; Walsh, J. L. 3 1963 On infrapolynomials with prescribed constant term. Zbl 0084.06902Walsh, J. L. 3 1958 Selected papers. With brief biographical sketches by W. E. Sewell, D. V. Widder and Morris Marden and commentaries by Q. I. Rahman, P. M. Gauthier, Dieter Gaier, Walter Schempp and the editors. Edited by Theodore J. Rivlin and Edward B. Saff. Zbl 0971.01015Walsh, Joseph L. 1 2000 Possibility of uniform rational approximation in the spherical metric. Zbl 0322.30036Gauthier, P. M.; Roth, A.; Walsh, Joseph L. 6 1976 Padé approximate as limits of rational functions of best approximation, real domain. Zbl 0306.41010Walsh, Joseph L. 12 1974 History of the Riemann mapping theorem. Zbl 0273.30003Walsh, Joseph L. 4 1973 On the convergence of rational functions which interpolate in the roots of unity. Zbl 0264.30038Saff, E. B.; Walsh, J. L. 4 1973 The theory of splines and their applications. (Teorija splainov i ee prilozenija.) Übersetzung aus dem Englischen von Ju. N. Subbotin. Herausgegeben von S. B. Stechkin und ergänzt von S. B. Stechkin und Yu. N. Subbotin. Zbl 0238.65001Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 13 1972 Complex polynomial splines on the unit circle. Zbl 0203.07301Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 8 1971 Mean approximation by polynomials on a Jordan curve. Zbl 0217.38602Walsh, J. L. 2 1971 Some examples in degree of approximation by rational functions. Zbl 0234.30022Aharonov, D.; Walsh, J. L. 1 1971 Approximation by rational functions: Open problems. Zbl 0198.10402Walsh, J. L. 2 1970 Properties of analytic splines. I: Complex polynomial splines. Zbl 0185.13502Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 10 1969 Extension and some applications of the coincidence theorems. Zbl 0189.35903Rubinstein, Z.; Walsh, J. L. 6 1969 Approximation to a function by a polynomial in another function. Zbl 0182.39102Walsh, J. L. 5 1969 Extensions of D. Jackson’s theorem on best polynomial mean approximation. Zbl 0174.36702Walsh, J. L.; Saff, E. B. 5 1969 Note on approximation by bounded analytic functions, problem \(\alpha\): General configurations. Zbl 0179.38102Walsh, J. L. 4 1969 Inequalities expressing degree of convergence of rational functions. Zbl 0174.36703Walsh, J. L. 1 1969 Cubic splines on the real line. Zbl 0179.36502Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 4 1968 Note on classes of functions defined by integrated Lipschitz conditions. Zbl 0183.34303Walsh, J. L. 1 1968 Degree of approximation by rational functions and polynomials. Zbl 0162.09801Walsh, J. L. 1 1968 The theory of splines and their applications. Zbl 0158.15901Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 554 1967 Complex cubic splines. Zbl 0186.39002Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 20 1967 An extension of the generalized Bernstein lemma. Zbl 0182.09203Walsh, J. L. 4 1967 On the convergence of sequences of rational functions. Zbl 0155.48104Walsh, J. L. 3 1967 The convergence of approximating rational functions of prescribed type. Zbl 0173.31303Walsh, J. L. 9 1966 Approximation by polynomials. Uniform convergence as implied by mean convergence. III. Zbl 0173.07403Walsh, J. L. 2 1966 Approximation by polynomials. Uniform convergence as implied by mean convergence. II. Zbl 0152.06301Walsh, J. L. 2 1966 Approximation by polynomials: Uniform convergence as implied by mean convergence. Zbl 0152.06204Walsh, J. L. 2 1966 Hyperbolic capacity and interpolating rational functions. II. Zbl 0148.30302Walsh, J. L.; Russell, G. H. 2 1966 Interpolation and approximation by rational functions in the complex domain. 4th ed. Zbl 0146.29902Walsh, J. L. 70 1965 Best approximation and convergence properties of higher-order spline approximations. Zbl 0141.06801Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 27 1965 Convergence properties of generalized splines. Zbl 0136.36301Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 14 1965 Extremal, orthogonality and convergence properties of multidimensional splines. Zbl 0136.04802Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 9 1965 The convergence of sequences of rational functions of best approximation. II. Zbl 0152.06304Walsh, J. L. 6 1965 Hyperbolic capacity and interpolating rational functions. Zbl 0148.30301Walsh, J. L. 2 1965 Geometry of the zeros of the sums of linear fractions. Zbl 0171.03502Walsh, J. L. 1 1965 On the degree of convergence of extremal polynomials and other extremal functions. Zbl 0152.26501Walsh, J. L.; Sinclair, A. 1 1965 The convergence of sequences of rational functions of best approximation with some free poles. Zbl 0143.29603Walsh, J. L. 1 1965 Fundamental properties of generalized splines. Zbl 0136.36204Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. 19 1964 Padé approximants as limits of rational functions of best approximation. Zbl 0152.06202Walsh, J. L. 14 1964 The convergence of sequences of rational functions of best approximation. Zbl 0152.06303Walsh, J. L. 11 1964 A theorem of Grace on the zeros of polynomials, revisited. Zbl 0126.02901Walsh, J. 7 1964 Least squares and interpolation in roots of unity. Zbl 0192.16802Walsh, J. L.; Sharma, A. 5 1964 The location of the zeros of the derivative of a rational function revisited. Zbl 0126.03002Walsh, J. 5 1964 On the location of the zeros of a polynomial whose center of gravity is given. Zbl 0171.03403Rubinstein, Z.; Walsh, J. L. 2 1964 Surplus free poles of approximating rational functions. Zbl 0147.06501Walsh, J. L. 2 1964 Approximation with auxiliary conditions. Zbl 0147.06402Thompson, Maynard; Walsh, J. L. 1 1964 Extremal polynomials and the zeros of the derivative of a rational function. Zbl 0137.04902Walsh, J. L.; Shisha, O. 1 1964 A sequence of rational functions with application to approximation by bounded analytic functions. Zbl 0116.28202Walsh, J. L. 6 1963 Note on the convergence of approximating rational functions of prescribed type. Zbl 0152.06302Walsh, J. L. 4 1963 The zeros of infrapolynomials with prescribed values at given points. Zbl 0119.06102Walsh, J. L.; Shisha, O. 3 1963 Zeros of the error function for Tchebycheff approximation in a small region. Zbl 0106.28105Motzkin, T. S.; Walsh, J. L. 3 1963 Best approximation properties of the spline fit. Zbl 0196.48603Walsh, J. L.; Ahlberg, J. A.; Nilson, E. N. 25 1962 Degree of polynomial approximation to an analytic function as measured by a surface integral. Zbl 0106.04601Walsh, J. L. 2 1962 Polynomials of best approximation on an interval. II. Zbl 0105.05001Walsh, J. L.; Motzkin, T. S. 1 1962 Interpolation and approximation by rational functions in the complex domain. Übersetzung aus dem Englischen von A. A. Gonchar und S. Ya. Khavinson. Mit Anlage eines Artikels von S. N. Mergelyan. Zbl 0106.28103Walsh, J. L. 16 1961 The zeros of infrapolynomials with some prescribed coefficients. Zbl 0192.16601Shisha, O.; Walsh, J. L. 5 1961 A new generalization of Jensen’s theorem on the zeros of the derivative of a polynomial. Zbl 0101.25702Walsh, J. L. 1 1961 The circles of curvature of the curves of steepest descent of Green’s function. Zbl 0099.08202Walsh, J. L. 1 1961 Interpolation and approximation by rational functions in the complex domain. Reprint of the revised ed. Zbl 0106.28104Walsh, J. L. 195 1960 Best approximators within a linear family on an interval. Zbl 0097.04803Walsh, J. L.; Motzkin, T. S. 11 1960 Solution of the Dirichlet problem for the ellipse by interpolating harmonic polynomials. Zbl 0092.29302Walsh, J. L. 8 1960 Approximation by bounded analytic functions. Zbl 0094.04501Walsh, J. L. 4 1960 On degree of approximation by bounded harmonic functions. Zbl 0095.27703Walsh, J. L. 1 1960 Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions. Zbl 0098.04901Walsh, J. L.; Russell, H. G. 14 1959 The analogue for maximally convergent polynomials of Jentzsch’s theorem. Zbl 0091.06602Walsh, J. L. 14 1959 Polynomials of best approximation on an interval. Zbl 0097.04901Walsh, J. L.; Motzkin, T. S. 6 1959 Polynomials of best approximation on a real finite point set. I. Zbl 0089.04801Motzkin, T. S.; Walsh, J. L. 6 1959 On canonical conformal maps of multiply connected regions. Zbl 0086.28102Walsh, J. L.; Landau, H. J. 2 1959 Note on least-square approximation to an analytic function by polynomials, as measured by a surface integral. Zbl 0098.04902Walsh, J. L. 1 1959 Note on invariance of degree of polynomial and trigonometric approximation under change of independent variable. Zbl 0095.05504Walsh, J. L. 1 1959 Approximation by bounded analytic functions: General configurations. Zbl 0091.06601Walsh, J. L. 1 1959 A generalization of Faber’s polynomials. Zbl 0081.29501Walsh, J. L. 8 1958 On infrapolynomials with prescribed constant term. Zbl 0084.06902Walsh, J. L. 3 1958 Location of zeros of infrapolynomials. Zbl 0086.02002Motzkin, T. S.; Walsh, J. L. 1 1958 Underpolynomials and infrapolynomials. Zbl 0078.26101Motzkin, T. S.; Walsh, J. L. 15 1957 Asymptotic behavior of restricted extremal polynomials and of their zeros. Zbl 0079.29303Fekete, M.; Walsh, J. L. 4 1957 Polynomials of best approximation on a real finite point set. Zbl 0080.04405Walsh, J. L.; Motzkin, T. S. 2 1957 Lipschitz conditions for harmonic and discrete harmonic functions. Zbl 0078.09401Walsh, J. L.; Young, David 2 1957 On restricted infrapolynomials. Zbl 0077.02601Fekete, M.; Walsh, J. L. 1 1957 Note on degree of approximation to analytic functions by rational functions with preassigned poles. Zbl 0072.29003Walsh, J. L. 48 1956 On the conformal mapping of multiply connected regions. Zbl 0071.07202Walsh, J. L. 15 1956 Least p-th power polynomials on a finite point set. Zbl 0072.25206Motzkin, T. S.; Walsh, J. L. 11 1956 Best-approximation polynomials of given degree. Zbl 0071.06401Walsh, J. L. 5 1956 On generalized Tchebycheff polynomials. Zbl 0071.06101Walsh, Joseph L.; Zedek, Mishael 3 1956 On the boundary behavior of a conformal map. Zbl 0070.30102Walsh, J. L.; Rosenfeld, L. 2 1956 Least \(p\)-th power polynomials on a real finite point set. Zbl 0064.06002Motzkin, T. S.; Walsh, J. L. 20 1955 On the asymptotic behavior of polynomials with extremal properties, and of their zeros. Zbl 0068.28501Fekete, M.; Walsh, J. L. 12 1955 Sur l’approximation par fonctions rationnelles et par fonctions holomorphes bornées. Zbl 0066.05305Walsh, J. L. 6 1955 A generalization of Jensen’s theorem on the zeros of the derivative of a polynomial. Zbl 0064.01901Walsh, J. L. 2 1955 Détermination d’une fonction analytique par ses valeurs données dans une infinité dénombrable de points. Zbl 0065.06303Walsh, J. L. 1 1955 On interpolation to a given analytic function fy analytic functions of minimum norm. Zbl 0064.31502Evans, J. P.; Walsh, J. L. 1 1955 Zur Methode der variablen Gebiete bei der Randverzerrung. Zbl 0058.30404Walsh, J. L.; Gaier, D. 6 1954 On the degree of convergence of solutions of difference equations to the solution of the Dirichlet problem. Zbl 0055.08901Walsh, J. L.; Young, David 6 1954 Sur la représentation conforme des aires multiplement connexes. Zbl 0056.30204Walsh, Joseph L. 3 1954 An interpolation problem for harmonic functions. Zbl 0055.09003Walsh, J. L. 3 1954 On representations and extensions of bounded linear functionals defined on classes of analytic functions. Zbl 0055.33802Davis, Philip; Walsh, J. L. 2 1954 Note on the distribution of zeros of extremal polynomials. Zbl 0055.30002Walsh, J. L.; Evans, J. P. 2 1954 Sur l’approximation par fonctions analytiques bornées. Zbl 0056.06803Walsh, Joseph L. 1 1954 On approximation by bounded analytic functions. Zbl 0055.06801Walsh, J. L.; Evans, J. P. 1 1954 On the derivative of a polynomial and Chebyshev approximation. Zbl 0050.06902Motzkin, T. S.; Walsh, J. L. 8 1953 ...and 101 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,798 Authors 56 Walsh, Joseph Leonard 30 Saff, Edward Barry 27 Laurinčikas, Antanas 18 Usmani, Riaz A. 17 Dick, Josef 17 Sakai, Manabu 16 González-Vera, Pablo 16 Varga, Richard Steven 15 Totik, Vilmos 14 Kadalbajoo, Mohan K. 12 Lubinsky, Doron S. 12 Trefethen, Lloyd Nicholas 11 Abdullayev, Fahreddin G. 11 Blatt, Hans-Peter 11 Hayotov, Abdullo Rakhmonovich 10 Khan, Arshad Ali 9 Ahlberg, J. H. 9 Bultheel, Adhemar François 9 Hoskins, William D. 9 Kobza, Jiří 9 Kovacheva, Ralitsa Krumova 9 Nilson, Edwin N. 9 Pillichshammer, Friedrich 9 Shadimetov, Kholmat Mahkambaevich 9 Sharma, Ambikeshwar 8 Curtiss, John Hamilton 8 Dikshit, Hanuman Prasad 8 Hall, Charles Allan 8 Luh, Wolfgang 8 Rubinstein, Zalman 8 Shisha, Oved 8 Volkov, Yuriĭ Stepanovich 7 Aziz, Tariq 7 Bica, Alexandru Mihai 7 Shevaldin, Valeriĭ Trifonovich 7 Stylianopoulos, Nikos S. 6 Baratchart, Laurent 6 Bawa, Rajesh Kumar 6 Bellman, Richard Ernest 6 Bernal-Gonzàlez, Luis 6 Blyth, William F. 6 Chawla, Man M. 6 Davis, Philip J. 6 Dunham, Charles B. 6 Freeden, Willi 6 Gauthier, Paul M. 6 Grigoryan, Martin Gevorgovich 6 Hendriksen, Erik 6 Jain, Praving C. 6 Levin, A. L. 6 Milovanović, Gradimir V. 6 Njåstad, Olav 6 Papamichael, Nicolas 6 Pommerenke, Christian 6 Qian, Tao 6 Reichel, Lothar 6 Sloss, Bruce Graydon 6 Stahl, Herbert Robert 6 Subbotin, Yuriĭ Nikolaevich 5 Bès, Juan P. 5 Browne Shaffer, Dorothy 5 Chand, Arya Kumar Bedabrata 5 Chui, Charles Kam-tai 5 Delvos, Franz-Jürgen 5 Dovgoshey, Oleksiy Alfredovich 5 Gaier, Dieter 5 Goda, Takashi 5 Gutknecht, Martin H. 5 Korneĭchuk, Nikolaĭ Pavlovich 5 Kroó, András 5 Macaitienė, Renata 5 Menke, Klaus 5 Motzkin, Theodore Samuel 5 Pan, Kegang 5 Vasudevan, Ramabhadra 5 Velikin, V. L. 5 Wallin, Hans 5 Zadorin, Aleksandr Ivanovich 5 Zamani, Nader G. 5 Zheng, Dechao 4 Agarwal, Ravi P. 4 Behforooz, G. Hossein 4 Blatov, Igor A. 4 Bloom, Thomas 4 Bonilla, Antonio 4 Chamayou, Jean-Marie-Francois 4 Chen, Chaofeng 4 Cheng, Fuhua 4 Daruis, Leyla 4 Deutsch, Frank 4 Elliott, H. Margaret 4 Evans, John P. 4 Grothmann, René 4 Israfilov, Daniyal M. 4 Kitaeva, E. V. 4 Levis, Fabián Eduardo 4 Meek, Dereck S. 4 Mohanty, Ranjan Kumar 4 Mühlbach, Günter W. 4 Opfer, Gerhard ...and 1,698 more Authors all top 5 Cited in 285 Serials 208 Journal of Approximation Theory 77 Journal of Computational and Applied Mathematics 76 Transactions of the American Mathematical Society 68 Journal of Mathematical Analysis and Applications 66 Numerische Mathematik 61 Mathematical Notes 56 Proceedings of the American Mathematical Society 38 Ukrainian Mathematical Journal 30 International Journal of Computer Mathematics 29 Computers & Mathematics with Applications 29 Applied Mathematics and Computation 27 Journal d’Analyse Mathématique 27 Constructive Approximation 25 Journal of Computational Physics 25 Mathematische Zeitschrift 24 Mathematics of Computation 22 Linear Algebra and its Applications 20 Siberian Mathematical Journal 19 Computational Methods and Function Theory 15 Journal of the Franklin Institute 15 Applied Numerical Mathematics 14 Computing 14 Mathematische Annalen 14 Numerical Algorithms 14 Bulletin of the American Mathematical Society 13 Analysis Mathematica 13 Computer Methods in Applied Mechanics and Engineering 13 International Journal of Control 13 BIT 13 Journal of Functional Analysis 13 BIT. Nordisk Tidskrift for Informationsbehandling 12 Acta Mathematica Academiae Scientiarum Hungaricae 12 Israel Journal of Mathematics 12 Calcolo 11 Lithuanian Mathematical Journal 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Archiv der Mathematik 11 Systems & Control Letters 11 Journal of Complexity 10 Journal of Soviet Mathematics 10 Monatshefte für Mathematik 9 Automatica 9 Journal of Optimization Theory and Applications 9 Aequationes Mathematicae 9 Proceedings of the Steklov Institute of Mathematics 8 Computers and Fluids 8 Rocky Mountain Journal of Mathematics 8 Advances in Mathematics 8 Proceedings of the Japan Academy. Series A 8 Results in Mathematics 8 Theoretical Computer Science 8 Complex Analysis and Operator Theory 7 Computer Physics Communications 7 International Journal of Systems Science 7 Annales de l’Institut Fourier 7 Mathematics and Computers in Simulation 7 Computer Aided Geometric Design 7 Journal of Mathematical Sciences (New York) 7 Complex Variables and Elliptic Equations 6 Acta Mathematica 6 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 6 Journal of Number Theory 6 Numerical Functional Analysis and Optimization 6 Tohoku Mathematical Journal. Second Series 6 Acta Mathematica Hungarica 6 Russian Mathematics 6 Fractals 5 Integral Equations and Operator Theory 5 Journal of Computer and System Sciences 5 Applications of Mathematics 5 Bulletin of the American Mathematical Society. New Series 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Arkiv för Matematik 4 Czechoslovak Mathematical Journal 4 Journal of Differential Equations 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Mathematical and Computer Modelling 4 Journal of Scientific Computing 4 The Journal of Geometric Analysis 4 Computational Mathematics and Mathematical Physics 4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 4 Applied Mathematical Modelling 4 Automation and Remote Control 4 Indagationes Mathematicae. New Series 4 Applied and Computational Harmonic Analysis 4 Sbornik: Mathematics 4 Foundations of Computational Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Biological Cybernetics 3 Bulletin of the Australian Mathematical Society 3 Linear and Multilinear Algebra 3 The Mathematical Intelligencer 3 Manuscripta Mathematica 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Journal of Statistical Computation and Simulation 3 Advances in Computational Mathematics 3 The ANZIAM Journal ...and 185 more Serials all top 5 Cited in 58 Fields 576 Approximations and expansions (41-XX) 530 Numerical analysis (65-XX) 408 Functions of a complex variable (30-XX) 126 Harmonic analysis on Euclidean spaces (42-XX) 92 Ordinary differential equations (34-XX) 79 Partial differential equations (35-XX) 65 Systems theory; control (93-XX) 62 Functional analysis (46-XX) 62 Operator theory (47-XX) 61 Potential theory (31-XX) 59 Number theory (11-XX) 44 Fluid mechanics (76-XX) 36 Several complex variables and analytic spaces (32-XX) 29 Special functions (33-XX) 29 Computer science (68-XX) 26 Mechanics of deformable solids (74-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 22 Integral equations (45-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Information and communication theory, circuits (94-XX) 20 Real functions (26-XX) 20 Probability theory and stochastic processes (60-XX) 19 Statistics (62-XX) 16 Difference and functional equations (39-XX) 14 Measure and integration (28-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Abstract harmonic analysis (43-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Operations research, mathematical programming (90-XX) 10 History and biography (01-XX) 10 Sequences, series, summability (40-XX) 10 Optics, electromagnetic theory (78-XX) 9 Geophysics (86-XX) 9 Biology and other natural sciences (92-XX) 8 Combinatorics (05-XX) 8 Convex and discrete geometry (52-XX) 7 Algebraic geometry (14-XX) 7 Integral transforms, operational calculus (44-XX) 7 Mechanics of particles and systems (70-XX) 7 Quantum theory (81-XX) 6 Differential geometry (53-XX) 5 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 4 Geometry (51-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-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. Updates and corrections should be made in Wikidata.