I. I. Sharapudinov, G. N. Muratova, “Same properties <nobr>$r$</nobr>-fold integration series on Fourier–Haar system”, Izv. Saratov Univ. Math. Mech. Inform., 2009, Volume 9, Issue 1,Pages <nobr>68

This article is cited in 15 papers

Mathematics

Same properties $r$-fold integration series on Fourier–Haar system

I. I. Sharapudinov^a, G. N. Muratova^b

^a Daghestan Scientific Centre of the Russian Academy of Sciences
^b Daghestan State Pedagogical University

Abstract: Approximation properties of series obtained by $r$-fold integration of Fourier–Haar series are research. It is shown that $r$-fold integrated Fourier–Haar series can be useful in the task of simultaneous approximation of differentiable function and its derivatives.

Key words: Haar function, integration Haar series, approximation properties.

UDC: 517.5

DOI: 10.18500/1816-9791-2009-9-1-68-76