Approximation Theory Using Positive Linear Operators.pdf

Approximation Theory Using Positive Linear Operators PDF

Radu Paltanea

This work treats quantitative aspects of the approximation of functions using positive linear operators. The theory of these operators has been an important area of research in the last few decades, particularly as it affects computer-aided geometric design. In this book, the crucial role of the second order moduli of continuity in the study of such operators is emphasized. New and efficient methods, applicable to general operators and to diverse concrete moduli, are presented. The advantages of these methods consist in obtaining improved and even optimal estimates, as well as in broadening the applicability of the results. Additional Topics and Features:*Examination of the multivariate approximation case *Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators *Many general estimates, leaving room for future applications (e.g. the B-spline case) *Extensions to approximation operators acting on spaces of vector functions *Historical perspective in the form of previous significant results This monograph will be of interest to those working in the field of approximation or functional analysis. Requiring only familiarity with the basics of approximation theory, the book may serve as a good supplementary text for courses in approximation theory, or as a reference text on the subject.

Degree of Lp-approximation by certain positive … JOURNAL OF APPROXIMATION THEORY 23, 354-363 (1978) Degree ofLp-Approximation by Certain Positive Convolution Operators BRUCE WOOD Mathematics Department, University of Arizona, Tucson, Arizona 85721 Communicated by Oved Shisha Received December 21, 1976 The degree of Z-n-approximation for a class of positive convolution operators is investigated.

9780817643508 ISBN
Approximation Theory Using Positive Linear Operators.pdf


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Sofya Voigtuh

18.08.2012 · We present some direct and inverse results for the approximation by the genuine Bernstein–Durrmeyer operators U n . We also consider iterates of U n and discuss some convergence results towards the corresponding semigroup. Using the eigenstructure of the operators U n we give new proofs of some known qualitative results and obtain new …

Mattio Müllers - Buy Approximation Theory Using Positive Linear Operators book online at best prices in India on Read Approximation Theory Using Positive Linear Operators book reviews & author details and more at Free delivery on qualified orders. Approximation Theory Using Positive Linear …

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Approximation Theory Using Positive Linear …

Jason Leghmann

Evaluation of the Approximation Order by Positive Linear ... In Approximation Theory positive linear operators play an important role; a fact demonstrated by the vast literature available on this topic. One simple and old example - its exact year of origin is not recorded - is the piecewise linear operator. It has been used in approximately computing the value of a loga-rithm. The method was to

Jessica Kolhmann

(PDF) APPROXIMATION THEORY - ResearchGate 8) Radu Paltanea, Approximation Theory Using Positive Linear Operators, Birkhauser Springer-2004. 9) Intelligent Systems: Approximation by Artificial Neural Networks, George A. Anastas- siou