Approximation with Positive Linear Operators and Linear Combinations

• Main Authors: Gupta, Vijay (Author), Tachev, Gancho (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Developments in Mathematics, 50
• Subjects: Mathematics.; Approximation theory.; Functional analysis.; Numerical analysis.; Approximations and Expansions.; Numerical Analysis.; Functional Analysis.

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...

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. .