The Beesack-Darst-Pollard inequalities and approximations of the Riemann-Stieltjes integral
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Barnett, Neil S and Dragomir, Sever S (2009) The Beesack-Darst-Pollard inequalities and approximations of the Riemann-Stieltjes integral. Appliedied Mathematics Letters, 22 (1). pp. 58-63. ISSN 0893-9659
Abstract
Utilising the Beesack version of the Darst–Pollard inequality, some error bounds for approximating the Riemann–Stieltjes integral are given. Some applications related to the trapezoid and mid-point quadrature rules are provided.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/4139 |
| Official URL | http://www.sciencedirect.com/science/article/pii/S... |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0101 Pure Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |
| Keywords | ResPubID17599. inequalities, Beesack’s inequalities, Darst’s inequalities, Pollard’s inequalities, Darst-Pollard inequality, Riemann integral, Stieltjes integral, trapezoidal rule, trapezoid rule, mid-point rule, midpoint rule, integrals |
| Citations in Scopus | 4 - View on Scopus |
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