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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...

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Bibliographic Details
Main Authors: Gupta, Vijay, Tachev, Gancho (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Developments in Mathematics
Subjects:
Functional Analysis
Approximations And Expansions
Numerical Analysis
Approximation Theory
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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. 

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