A Duality in Interpolation to Analytic Functions by Rational Functions
نویسندگان
چکیده
منابع مشابه
A Duality in Interpolation to Analytic Functions by Rational Functions.
omission and to say whether its correction will lead only to a new interpretation of the constants of our equations or to an actual change of their form. Another simplification is the neglect of polar and excited states: While there is reason to assume that their influence is small, its exact estimate is still lacking. Further inaccuracies were discussed in our preceding paper: The use of Bloch...
متن کاملOn Approximation to Analytic Functions by Rational Functions
Let f(z) be analytic in the interior of a rectifiable Jordan curve C and continuous in the corresponding closed region C. The relation between continuity properties of f(z) on C and degree of approximarion to f(z) by polynomials irn(z) in z of respective degrees n, n = 1, 2, • • • , has been extensively studied. In the present paper we study the relation between continuity properties of f(z) on...
متن کاملConvergence of Linear Barycentric Rational Interpolation for Analytic Functions
Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly conditioned, these interpolants fail to converge even in exact arithmetic in some cases. Linear barycentric rational interpolation with the weights presented by Floater and Hormann can be viewed as blended p...
متن کاملTriangular C Interpolation by Rational Functions
Two general local C triangular interpolation schemes by rational functions from C data are proposed for any nonnegative integer m. The schemes can have either 2m + 1 order algebraic precision if the required data are given on vertices and edges, or m + E[m/2] + 1 or m + 1 order algebraic precision if the data are given only at vertices. The orders of the interpolation error are estimated. Examp...
متن کاملOn Convergence of Interpolation to Analytic Functions
In the present paper, both the perfect convergence for the Lagrange interpolation of analytic functions on [ − 1, 1] and the perfect convergence for the trigono-metric interpolation of analytic functions on [ − p, p] with period 2p are discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1933
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.19.12.1049