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2 Some Preliminaries from Summability Theory and
4 Hermite Interpolation
5 other sections not shown
A-lim best possible Borel's method Cavaretta Chebyshev polynomial compact subset containing the disk convergence being uniform define the sets denote disk of equiconvergence ellipse entire function equiconvergence theorem equisummability expansion of f f is holomorphic Finally following result functions f Functions Holomorphic Furthermore gives Theorem half plane Hermite interpolation integral representation j=o k=o k=o cCS k=o cCSf kernel function Lagrange polynomial Laurent series least squares approximating Lemma Let f Let f€A ltl=r mapping Mittag-Leffler star n+1 n+1 n+m,n nonnegative integer notations numbers partial sum polynomial determined polynomial interpolant polynomial of degree power series expansion proof of Theorem rational function rectifiable Jordan curve region G region star-shaped remark Rivlin 13 roots of unity Sharma and Varga singularity star Sf star-shaped with respect Step subset of G summability methods Theorem 3.1 Theorem 7A tn+1 uniform and geometric Vx€X Walsh's Theorem 1A