Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Khromov A. A. Approximation of Function and Its Derivative by the Modificated Steklov Operator. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 4, pp. 595-599. DOI: 10.18500/1816-9791-2014-14-4-595-599, EDN: TBDAKB

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
01.12.2014
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Russian
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UDC: 
517.51
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TBDAKB

Approximation of Function and Its Derivative by the Modificated Steklov Operator

Autors: 
Khromov Alexander Avgustovich, Saratov State University
Abstract: 

With the use of modification of Steklov operator are constructed families of integral operator which allow us to get uniform derivative on a closed.

References: 
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  2.  Хромов А. П., Хромова Г. В. Об одной модификации оператора Стеклова // Современные проблемы теории функций и их приложения : тез. докл. 15-й Сарат. зимн. шк. Саратов : Изд-во Сарат. ун-та, 2010. С. 181.
  3. Хромова Г. В. Об оценках погрешности приближенных решений уравнений первого рода // Докл. АН. 2001. T. 378, № 5. C. 605–609.
Received: 
27.06.2014
Accepted: 
22.10.2014
Published: 
01.12.2014