## Approximation theory and functional analysisThis volume surveys the fields of approximation theory and functional analysis. Compiled in honor of G.G. Lorenz, "The Father of Modern Approximation Theory", it consists of invited papers representing the most up-to-date research by leading mathmaticians in these fields. The editor has emphasized the survey character of major contributions to make this book of interest to a wider audience of graduate students and research mathematicians. |

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### Contents

Publications of George G Lorentz | 5 |

Doctoral Students of George G Lorentz | 13 |

On BernsteinDurrmeyer Polynomials with Jacobi Weights | 25 |

Copyright | |

11 other sections not shown

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Academic Press algorithm Amer Approx Approximation Theory Banach space basic sequence basis Bernstein polynomials Bezier curve Birkhoff interpolation bivariate Hermite interpolation bivariate interpolation bounded box spline cardinal series cardinal spline Chui coalescence coefficients College Station converges Cr(I curvature plot decomposition defined denote Department of Mathematics E,Vs embeds equivalent estimate example exists finite follows formula Fourier Functional Analysis G. G. Lorentz given Hermite interpolation incidence matrix inequality integer interpolation problem interpolation scheme interpolation space isomorphic Lagrange interpolation Lemma limsup linear Lorentz spaces lower set Math method Micchelli minimal monotone curvature multivariate interpolation norm obtained Ondelettes orthogonal orthonormal partial derivatives points Polya condition preprint proof Proposition proved regular with respect result Riemenschneider set of nodes shift singular solvable subspace tensor product Texas A&M University Theorem THEORY AND FUNCTIONAL two-scale unique univariate wavelet transform weakly null zeros