Convergence Estimates in Approximation Theory

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)

• 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.