Approximation Theory Using Positive Linear Operators [electronic resource] /

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.

Bibliographic Details

Main Authors:	Păltănea, Radu. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Boston, MA : Birkhäuser Boston, 2004
Subjects:	Mathematics., Algebra., Field theory (Physics)., Approximation theory., Functional analysis., Integral transforms., Operational calculus., Operator theory., Applied mathematics., Engineering mathematics., Approximations and Expansions., Field Theory and Polynomials., Functional Analysis., Integral Transforms, Operational Calculus., Operator Theory., Applications of Mathematics.,
Online Access:	http://dx.doi.org/10.1007/978-1-4612-2058-9
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