Kirill A. Kirillov, “On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case”, J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 3,Pages <nobr>318

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On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case

Kirill A. Kirillov

Institute of Space and Information Technologies, Siberian Federal University, Kirenskogo, 26, Krasnoyarsk, 660074, Russia

Abstract: A lower estimate for number of nodes of cubature formulas possessing the Haar $d$-property ($d \geqslant 2$) is obtained in the two-dimensional case. Examples of minimal cubature formulas with Haar $d$-property for $d=2$ and $d=3$ are given.

Keywords: minimal cubature formulas, Haar functions, Haar polynomials, Haar $d$-property.

UDC: 517.518.87

Received: 26.02.2014
Received in revised form: 01.04.2014
Accepted: 20.05.2014

Language: English