Approximation Theory Using Positive Linear Operators - Softcover

Paltanea, Radu

Softcover

ISBN 10: 0817643508 ISBN 13: 9780817643508

Publisher: Birkhäuser, 2004

Synopsis

Offers an 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

About this title

From the Back Cover:

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.

Review:

From the reviews:

“This monograph will be of interest to those working in the field of approximation, and it may serve as a good supplementary text for courses in approximation theory, or as a reference text on the subject.”(ZENTRALBLATT MATH)

About this edition

• Publisher: Birkhäuser
• Publication date: 2004
• ISBN 10: 0817643508
• ISBN 13: 9780817643508
• Binding: Paperback
• Number of pages: 212