Bernstein Operators and Their Properties
Buch in deiner Nähe kaufen
Beschreibung
This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. Among all types of positive linear operators, they occupy a unique position because of their elegance and notable approximation properties.
This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter.
The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. Further, it requires only a basic grasp of analysis, making it a valuable and appealing resource for advanced graduate students and researchers alike.
This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. Among all types of positive linear operators, they occupy a unique position because of their elegance and notable approximation properties.
This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter.
The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. Further, it requires only a basic grasp of analysis, making it a valuable and appealing resource for advanced graduate students and researchers alike.
Covers a uniquely vast range of topics Presents the proofs of almost all the result Includes exercises at the end of each chapter
Autor*in
Jorge Bustamante
Themen in »Bernstein Operators and Their Properties«
Bernstein operators moduli of smoothness rate of approximation Bernstein inequality sub-additive majorants moments of operators semigroups of operators simultaneous approximation converse results Korovkin type theorems Voronovskaya type theorems approximation in Holder norms Besov spaces
Stimmen zu »Bernstein Operators and Their Properties«
“The book provides many useful historical details. Exercises are included at the end of each chapter. Detailed references are given when proofs are not included. This book is a valuable addition to the rich literature devoted to Bernstein operators. Useful for advanced graduate students and for researchers, it will stimulate further research in this area.” (loan Raşa, Mathematical Reviews, November, 2017)
()