# Splines in Numerical Integration

Mathematica Balkanica New Series (2010)

- Volume: 24, Issue: 3-4, page 351-358
- ISSN: 0205-3217

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topUdovičić, Zlatko. "Splines in Numerical Integration." Mathematica Balkanica New Series 24.3-4 (2010): 351-358. <http://eudml.org/doc/11356>.

@article{Udovičić2010,

abstract = {AMS Subj. Classiﬁcation: 65D07, 65D30.We gave a short review of several results which are related to the role of splines
(cardinal, centered or interpolating) in numerical integration. Results deal with the problem
of approximate computation of the integrals with spline as a weight function, but also with
the problem of approximate computation of the integrals without weight function. Besides, we
presented an algorithm for calculation of the coeﬃcients of the polynomials which correspond
to the cardinal B-spline of arbitrary order and described ﬁve methods for calculation of the
moments in the case when cardinal B-spline of order m,m ∈ N, is a weight function.},

author = {Udovičić, Zlatko},

journal = {Mathematica Balkanica New Series},

keywords = {Cardinal B-Spline; Coeﬃcients; Moments; Rectangular Rule; Interpolating Quadratic Spline; Hat Function; Cubic B-Spline; cardinal -spline; coefficients; moments; rectangular rule; interpolating quadratic spline; hat function; cubic -spline},

language = {eng},

number = {3-4},

pages = {351-358},

publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},

title = {Splines in Numerical Integration},

url = {http://eudml.org/doc/11356},

volume = {24},

year = {2010},

}

TY - JOUR

AU - Udovičić, Zlatko

TI - Splines in Numerical Integration

JO - Mathematica Balkanica New Series

PY - 2010

PB - Bulgarian Academy of Sciences - National Committee for Mathematics

VL - 24

IS - 3-4

SP - 351

EP - 358

AB - AMS Subj. Classiﬁcation: 65D07, 65D30.We gave a short review of several results which are related to the role of splines
(cardinal, centered or interpolating) in numerical integration. Results deal with the problem
of approximate computation of the integrals with spline as a weight function, but also with
the problem of approximate computation of the integrals without weight function. Besides, we
presented an algorithm for calculation of the coeﬃcients of the polynomials which correspond
to the cardinal B-spline of arbitrary order and described ﬁve methods for calculation of the
moments in the case when cardinal B-spline of order m,m ∈ N, is a weight function.

LA - eng

KW - Cardinal B-Spline; Coeﬃcients; Moments; Rectangular Rule; Interpolating Quadratic Spline; Hat Function; Cubic B-Spline; cardinal -spline; coefficients; moments; rectangular rule; interpolating quadratic spline; hat function; cubic -spline

UR - http://eudml.org/doc/11356

ER -

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