Polynomial interpolation: Lagrange versus Newton
نویسندگان
چکیده
منابع مشابه
q-Identities from Lagrange and Newton Interpolation
Combining Newton and Lagrange interpolation, we give q-identities which generalize results of Van Hamme, Uchimura, Dilcher and Prodinger.
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Lagrange interpolation by polynomials in several variables is studied through a finite difference approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences. We prove that the finite difference admits an integral representation involving simplex spline functions. In particular, this provides a remainder formul...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1984
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1984-0744931-0