The Rate of Convergence for Linear Shape-Preserving Algorithms

• Autorzy: Dmitry Boytsov , Sergei Sidorov
• Języki publikacji: EN

Abstrakty

EN

We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape-preserving operators.

Słowa kluczowe

EN

shape-preserving approximation; Korovkin-type results; degree of approximation

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-09-03

zaakceptowano

2015-11-18

online

2015-11-30

Twórcy

autor

Dmitry Boytsov

• Saratov State University, 83, Astrakhanskaya Str., 410012 Saratov, Russia

autor

Sergei Sidorov

• Saratov State University, 83, Astrakhanskaya Str., 410012 Saratov, Russia

Bibliografia

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Identyfikatory

DOI

10.1515/conop-2015-0008