Communications in Mathematical Analysis

Moments of Complex B-Splines

P. Massopust

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Abstract

A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based on this relationship, a formula for the computation of certain moments of multivariate complex B-splines is derived. In addition, an infinite-dimensional analogue of the Lauricella function $F_B$ is defined and a relation to the moments of multivariate complex B-splines is presented.

Article information

Source
Commun. Math. Anal., Volume 12, Number 2 (2012), 58-70.

Dates
First available in Project Euclid: 16 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.cma/1331929871

Mathematical Reviews number (MathSciNet)
MR2905131

Zentralblatt MATH identifier
1263.41004

Subjects
Primary: 41A15: Spline approximation 26A33: Fractional derivatives and integrals 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section) 33C65

Keywords
Complex B-spline Dirichlet average Weyl fractional derivative and integral operator $R$hypergeometric function moments Appell functions Lauricella functions

Citation

Massopust, P. Moments of Complex B-Splines. Commun. Math. Anal. 12 (2012), no. 2, 58--70. https://projecteuclid.org/euclid.cma/1331929871


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