Approximation with Positive Linear Operators and Linear Combinations
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...
| Main Authors: | , |
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| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Edition: | 1st ed. 2017. |
| Series: | Developments in Mathematics,
50 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-58795-0 |
Table of Contents:
- 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 Pǎltǎanea Basis
- Bibliography
- Index. .