On Polynomial Interpolation to Analytic Functions with Singularities
نویسنده
چکیده
Méray has given f the following illustration to show that polynomials formed from a given function by interpolation do not necessarily converge to that function. Interpolate to the f unction ƒ (s) = 1/z by means of the polynomials pn(z) of respective degreest w = l, 2, 3, • • • , required to coincide with ƒ (z) in the (n + l)th roots of unity; this condition defines the polynomials pn(z) uniquely. Moreover, we have
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تاریخ انتشار 2007