Minimization and Best Approximation(II)

Citation:

Shi Yingguang.Minimization and Best Approximation(II)[J].Chinese Annals of Mathematics B,1982,3(3):309~318
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Authors:

Shi Yingguang;
Abstract: This paper similar to the previous work^[6] is to discuss independently the problem of minimization of a functional $\Psi(P)=\int_X {F(x,P(x))dx}$in a subset of the space L(X).We have likewise established the concerned theorems of existence,characterization and uniqueness.The results herein may effectively be applied to a number of problems of approximation,especially to those of simultaneous approximation.

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