On the overconvergence of complex interpolating polynomials
Copyright policy )On the overconvergence of complex interpolating polynomials
Recently, there has been a good deal of interest in extensions of a beautiful and well-known result of J. L. Walsh [4, p. 1531 on the overconvergence of differences of interpolating polynomials. As background for Walsh’s result, let p > 1 be a fixed real number, and let A, := {f(z): f is analytic in ]z] < p and has a singularity on ]zI = p}. (1.1) Further, let Z = {z~,~} be an infinite triangular interpolation matrix whose entries satisfy 1 G IZk,“l
- University System of Ohio United States
- Hungarian Academy of Sciences Hungary
- Kent State University at Salem United States
- Kent State University United States
- Kent State University United States
Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, polynomial overconvergence, Moment problems and interpolation problems in the complex plane, Interpolation in approximation theory, Analysis
Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, polynomial overconvergence, Moment problems and interpolation problems in the complex plane, Interpolation in approximation theory, Analysis
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