## On numerical approximation: proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 21-23, 1958 |

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Page 99

While the use of

functions of one variable is well established, the claims made for

in ...

While the use of

**orthogonal polynomial**systems to obtain integration formulas forfunctions of one variable is well established, the claims made for

**orthogonal****polynomials**of several variables are misleading. The actual formulas calculatedin ...

Page 112

The use of

although perhaps for a fixed degree the work of Radon might be extended to En .

Virtually no formulas have been calculated for various weight functions.

The use of

**orthogonal polynomials**may expand most rapidly for planar regionsalthough perhaps for a fixed degree the work of Radon might be extended to En .

Virtually no formulas have been calculated for various weight functions.

Page 445

New York, 19 30 G.G. Lorentz, Bernstein polynomials. Toronto, 1953 G. Pdlya

and G. Szego, Aufgaben und Lehrsatze aus der Analysis, I, II. Berlin, 1925 G.

Szego,

New York, 19 30 G.G. Lorentz, Bernstein polynomials. Toronto, 1953 G. Pdlya

and G. Szego, Aufgaben und Lehrsatze aus der Analysis, I, II. Berlin, 1925 G.

Szego,

**Orthogonal polynomials**, 19 39 C.J. de la Valie"e Poussin, Lecons sur 1' ...### What people are saying - Write a review

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### Contents

On Trends and Problems in Numerical Approximation | 3 |

Linear Spaces and Approximation Theory | 11 |

Operational Methods in Numerical Analysis Based on Rational | 25 |

Copyright | |

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Akad Amer analytic functions apply approximate f assume asymptotic Bernstein Bernstein polynomials best approximation coefficients computation confluent forms confluent limits consider constant continuous functions convergent convex corresponding defined denote differential equation divided difference Dokl E. T. Whittaker element error bound example exists finite func function F Gaussian given function Hilbert space implies inequality interpolation formulas interval kernel Lemma linear combination linear functionals linear space linearly independent lower bound Math method minimizing minimum error Nauk SSSR N.S. norm Numerical Analysis obtained operator optimal orthogonal orthogonal polynomials periodic functions Pn(x points polynomial approximation polynomial of degree problem proof quadratic quadratic form reference representation Russian satisfied scheme sequence solution subspace Taylor series Theorem theory tion transformation trapezoidal rule unique values variables variation diminishing zeros