Approximation with Positive Linear Operators and Linear Combinations (Developments in Mathematics, 50)

Gupta, Vijay; Tachev, Gancho

ISBN 10: 3319587943 ISBN 13: 9783319587943

Editorial: Springer, 2017

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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.

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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.

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T�tulo: Approximation with Positive Linear Operators...
Editorial: Springer
A�o de publicaci�n: 2017
Encuadernaci�n: Encuadernaci�n de tapa dura
Condici�n: New

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Approximation with Positive Linear Operators and Linear Combinations (eng)

Gupta, Vijay

Publicado por Springer, 2017

ISBN 10: 3319587943 ISBN 13: 9783319587943

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Approximation with Positive Linear Operators and Linear Combinations

Vijay Gupta|Gancho Tachev

Publicado por Springer International Publishing, 2017

ISBN 10: 3319587943 ISBN 13: 9783319587943

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Gebunden. Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Overviews approximation by linear combinations of positive linear operatorsEnriches understanding of fundamental and recent results from the past decadeServes as a reference for graduate courses and a basis for future st. N� de ref. del art�culo: 150267702

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Approximation with Positive Linear Operators and Linear Combinations

Vijay Gupta

Publicado por Springer, Palgrave Macmillan, 2017

ISBN 10: 3319587943 ISBN 13: 9783319587943

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Buch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 graduateand postgraduate courses as well as a basis for future study and development. N� de ref. del art�culo: 9783319587943

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Approximation with Positive Linear Operators and Linear Combinations

Gancho Tachev

Publicado por Springer International Publishing Jul 2017, 2017

ISBN 10: 3319587943 ISBN 13: 9783319587943

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Buch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 200 pp. Englisch. N� de ref. del art�culo: 9783319587943

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Approximation with Positive Linear Operators and Linear Combinations

Vijay Gupta

Publicado por Springer, Palgrave Macmillan Jul 2017, 2017

ISBN 10: 3319587943 ISBN 13: 9783319587943

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Buch. Condici�n: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 graduateand postgraduate courses as well as a basis for future study and development.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 200 pp. Englisch. N� de ref. del art�culo: 9783319587943

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