Approximation with Positive Linear Operators and Linear Combinations

Nonfiction, Science & Nature, Mathematics, Number Systems, Mathematical Analysis
Cover of the book Approximation with Positive Linear Operators and Linear Combinations by Vijay Gupta, Gancho Tachev, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Vijay Gupta, Gancho Tachev ISBN: 9783319587950
Publisher: Springer International Publishing Publication: June 27, 2017
Imprint: Springer Language: English
Author: Vijay Gupta, Gancho Tachev
ISBN: 9783319587950
Publisher: Springer International Publishing
Publication: June 27, 2017
Imprint: Springer
Language: English

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 chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of  real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development. 

 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of  real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development. 

 

More books from Springer International Publishing

Cover of the book The Roles of Accelerated Pavement Testing in Pavement Sustainability by Vijay Gupta, Gancho Tachev
Cover of the book Reflections on Programming Systems by Vijay Gupta, Gancho Tachev
Cover of the book Ionic Polymer Metal Composites for Sensors and Actuators by Vijay Gupta, Gancho Tachev
Cover of the book Introduction to Insurance Mathematics by Vijay Gupta, Gancho Tachev
Cover of the book Holistic Simulation of Geotechnical Installation Processes by Vijay Gupta, Gancho Tachev
Cover of the book Social Cohesion in the Western World by Vijay Gupta, Gancho Tachev
Cover of the book Asymptotics of Elliptic and Parabolic PDEs by Vijay Gupta, Gancho Tachev
Cover of the book Data Analytics for Renewable Energy Integration by Vijay Gupta, Gancho Tachev
Cover of the book Mars One by Vijay Gupta, Gancho Tachev
Cover of the book Research and Practice on the Theory of Inventive Problem Solving (TRIZ) by Vijay Gupta, Gancho Tachev
Cover of the book Many-Electron Approaches in Physics, Chemistry and Mathematics by Vijay Gupta, Gancho Tachev
Cover of the book Aesthetic and Functional Labiaplasty by Vijay Gupta, Gancho Tachev
Cover of the book Price Management by Vijay Gupta, Gancho Tachev
Cover of the book Atlas of Sellar and Parasellar Lesions by Vijay Gupta, Gancho Tachev
Cover of the book Extended Cognition and the Dynamics of Algorithmic Skills by Vijay Gupta, Gancho Tachev
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy