Interpolation in the roots of unity: An extension of a theorem of J. L. Walsh
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Publication:1146294
DOI10.1007/BF03323355zbMath0447.30020MaRDI QIDQ1146294
Richard S. Varga, A. Sharma, Alfred S. jun. Cavaretta
Publication date: 1980
Published in: Results in Mathematics (Search for Journal in Brave)
Approximation in the complex plane (30E10) Moment problems and interpolation problems in the complex plane (30E05)
Related Items (25)
On a special interpolation problem and overconvergence ⋮ Converse results in the Walsh theory of overconvergence ⋮ Lacunary Pál-type interpolation and over-convergence ⋮ An optimal recovery view of Walsh's equiconvergence theorem ⋮ Walsh equiconvergence theorems in the quaternionic setting ⋮ Converse results on equiconvergence of interpolating polynomials ⋮ Equiconvergence in rational approximation of meromorphic functions ⋮ Rivlin's theorem on Walsh equiconvergence ⋮ Optimal recovery of interpolation operators in Hardy spaces ⋮ \((0,m)\) Pál-type interpolation on the Möbius transform of roots of unity ⋮ \((0,m)\) Pál-type interpolation: interchanging value- and derivative-nodes ⋮ More quantitive results on Walsh equiconvergence: I. Lagrange case ⋮ Some remarks on a theorem of Saff and Varga ⋮ On the overconvergence of complex interpolating polynomials ⋮ Asymptotic distribution of the zeros of certain Lagrange interpolants ⋮ Extensions of certain results in Walsh-type equiconvergence ⋮ Extensions of a theorem of J. L. Walsh ⋮ Extensions of Walsh's equiconvergence theorem for Jordan domains with analytic boundary curve ⋮ Equiconvergence of some complex interpolatory polynomials ⋮ On Walsh equiconvergence ⋮ Hermite-Birkhoff interpolation on roots of unity and Walsh equiconvergence ⋮ Convergence of Hermite interpolants on the circle using two derivatives ⋮ A note on certain next-to-interpolatory rational functions ⋮ An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials ⋮ Quantitative results in the theory of overconvergence of complex interpolating polynomials
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