A. A. Khromov, “Approximating properties of the powers of the differentiation operator resolvent”, Izv. Saratov Univ. Math. Mech. Inform., 2009, Volume 9, Issue 3,Pages <nobr>75

This article is cited in 2 papers

Mathematics

Approximating properties of the powers of the differentiation operator resolvent

A. A. Khromov

Saratov State University, Chair of Differential Equations and Applied Mathematics

Abstract: The families of operators are constructed and their approximating properties are investigated in the problems of approximating the derivative of functions and the smooth solutions of integral equations.

Key words: approximation of functions and their derivatives, resolvent, integral equation, approximate solution.

UDC: 517.51

DOI: 10.18500/1816-9791-2009-9-3-75-78