A Note on the Degree of Polynomial Approximation*
نویسنده
چکیده
Let C be a rectifiable Jordan curve of the finite z plane. We shall say that a function f(z) belongs to the class Lip (C, j , a) if ƒ (z) is regular in the limited region bounded by C (which we shall call the interior of C), if f{z) is continuous in the corresponding closed region, and if the jth. derivative of f(z) is also continuous in this closed region and satisfies a Lipschitz condition with exponent a on C:
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