Convergence Estimates in Approximation Theory

• Κύριοι συγγραφείς: Gupta, Vijay (Συγγραφέας), Agarwal, Ravi P. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Approximation theory.; Operator theory.; Partial differential equations.; Approximations and Expansions.; Operator Theory.; Analysis.; Partial Differential Equations.

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. This book focuses on the convergence of linear positive operators in real and complex domains. The theor...

Πίνακας περιεχομένων:

• 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.