Convergence Estimates in Approximation Theory

Häftad, Engelska, 2016

Av Vijay Gupta, Ravi P. Agarwal

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The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. In this volume, authors Gupta and Agarwal explore new and more efficient methods of applying this research to studies in Optimization and Analysis.

Produktinformation

Utgivningsdatum2016-08-27
Mått155 x 235 x 21 mm
Vikt569 g
FormatHäftad
SpråkEngelska
Antal sidor361
FörlagSpringer International Publishing AG
ISBN9783319350134

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Beräkning och matematisk analys inom Naturvetenskap och teknik

1. Preliminaries.- 2. Approximation by Certain Operators.- 3. Complete Asymptotic Expansion.- 4. Linear and Iterative Combinations.- 5. Better Approximation.- 6. Complex Operators in Compact Disks.- 7. Rate of Convergence for Functions of BV.- 8. Convergence for BV/Bounded Functions on Bezier Variants.- 9. Some More Results on Rate of Convergence.- 10. Rate of Convergence in Simultaneous Approximation.- 11. Future Scope and Open Problems.

From the book reviews: "Within the field of approximation theory, the book deals with convergence results mainly for linear positive operators, an area of intensive research in the last few decades. It turns out to be a very useful tool for beginners and all those researchers interested in the aforesaid mathematical subject." (Daniel Cardenas-Morales, zbMATH, Vol. 1295, 2014) "This monograph should be accessible to anyone familiar with the fundamentals of approximation theory, measure theory and functional analysis. The exposition is essentially self-contained. From this point of view, the book is of great interest to mathematicians and computer scientists working in the field of approximation theory and in related application areas." (Octavian Agratini, Mathematical Reviews, August, 2014)