SIMULTANEOUS APPROXIMATION OF CERTAIN FUNCTIONS BY POLONOMIALS AND THEIR DERIVATIVES.
AERONAUTICAL CHART AND INFORMATION CENTER ST LOUIS MO LINGUISTIC SECTION
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The extreme problems connected with simultaneous approximation of two functions are investigated. One of the functions is approximated by polynomials P sub n, and the second one by the derivatives of these polynomials or in a wider sense by polynomials NP sub n, where N is a certain linear operator. Of special interest is the characteristic properties of the extreme polynomials, problems of their uniqueness, and the determination of the connection between the approximate problems and some other problems that are reciprocal to them. Author
- Numerical Mathematics