This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight ch
Approximation with positive linear operators and linear combinations
β Scribed by Gupta, Vijay; Tachev, Gancho
- Publisher
- Springer
- Year
- 2017
- Tongue
- English
- Leaves
- 193
- Series
- Developments in Mathematics 50
- Edition
- Softcover reprint of the original 1st edition 2017
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content: 1. Moments and Linear Combinations of Positive Linear Operators.- 2. Direct Estimates for Approximation by Linear Combinations.- 3. Inverse Estimates and Saturation Results for Linear Combinations.- 4. Voronovskaja Type Estimates.- 5. Pointwise Estimates for Linear Combinations.- 6. Voronovskaja's Theorem in Terms of Weighted Modulus of Continuity.- 7. Direct Estimates for Some New Operators.- 8. Convergence for Operators Based on Paltaanea Basis.- Bibliography.- Index.
π SIMILAR VOLUMES
<p><p>This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several m
<p>This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several meth
<p><P>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 t
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Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be