The Beesack–Darst–Pollard inequalities and approximations of the Riemann–Stieltjes integral

✍ Scribed by N.S. Barnett; S.S. Dragomir

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 410 KB
• Volume: 22
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2008.02.005

✦ Synopsis

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.