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Field name	Details
Dewey Class	511.4
Title	Approximation with Positive Linear Operators and Linear Combinations ([EBook]) / by Vijay Gupta, Gancho Tachev.
Author	Gupta, Vijay
Added Personal Name	Tachev, Gancho author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details	XIII, 186 p. 2 illus. in color. : online resource.
Series	Developments in mathematics 1389-2177 ; ; 50
ISBN	9783319587950
Summary Note	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. ?.:
Contents note	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 Paltaanea Basis -- Bibliography -- Index.?.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-58795-0
Links to Related Works	Subject References: Approximation theory . Approximations and Expansions . Functional Analysis . Mathematics . Numerical Analysis . Authors: Gupta, Vijay . Tachev, Gancho . Corporate Authors: SpringerLink (Online service) . Series: Developments in mathematics . Classification: 511.4 .

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Approximation with Positive Linear Operators and Linear Combinations

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