Approximation of the Stieltjes integral and applications in numerical integration
Pietro Cerone; Sever Silvestru Dragomir
Applications of Mathematics (2006)
- Volume: 51, Issue: 1, page 37-47
- ISSN: 0862-7940
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topCerone, Pietro, and Dragomir, Sever Silvestru. "Approximation of the Stieltjes integral and applications in numerical integration." Applications of Mathematics 51.1 (2006): 37-47. <http://eudml.org/doc/33242>.
@article{Cerone2006,
abstract = {Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications to the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.},
author = {Cerone, Pietro, Dragomir, Sever Silvestru},
journal = {Applications of Mathematics},
keywords = {Stieltjes integral; quadrature rule; Fourier Sine transform; Fourier Cosine transform; quadrature rule; Fourier Sine transform; Fourier Cosine transform},
language = {eng},
number = {1},
pages = {37-47},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Approximation of the Stieltjes integral and applications in numerical integration},
url = {http://eudml.org/doc/33242},
volume = {51},
year = {2006},
}
TY - JOUR
AU - Cerone, Pietro
AU - Dragomir, Sever Silvestru
TI - Approximation of the Stieltjes integral and applications in numerical integration
JO - Applications of Mathematics
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 37
EP - 47
AB - Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications to the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.
LA - eng
KW - Stieltjes integral; quadrature rule; Fourier Sine transform; Fourier Cosine transform; quadrature rule; Fourier Sine transform; Fourier Cosine transform
UR - http://eudml.org/doc/33242
ER -
References
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