M. V. Nevskij, “On a certain relation for the minimal norm of an interpolational projection”, Model. Anal. Inform. Sist., 2009, Volume 16, Number 1,Pages <nobr>24

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On a certain relation for the minimal norm of an interpolational projection

M. V. Nevskij

P. G. Demidov Yaroslavl State University

Abstract: We analyse some relations for the minimal $C$-norm of a projection dealing with the linear interpolation on the cube $[0,1]^n$ and a certain geometrical characteristic of $Q_n$.

Keywords: functions of $n$ variables, linear interpolation, projection, minimal norm.

UDC: 517.51+514.17

Received: 10.01.2009