Some integral inequalities for functions with \((n - 1)\)st derivatives of bounded variation (Q2460561)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some integral inequalities for functions with \((n - 1)\)st derivatives of bounded variation |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some integral inequalities for functions with \((n - 1)\)st derivatives of bounded variation |
scientific article |
Statements
Some integral inequalities for functions with \((n - 1)\)st derivatives of bounded variation (English)
0 references
12 November 2007
0 references
This paper contains a unified approach of error estimates for certain quadrature formulas (including the mid point, trapezoid and Simpson formulas). The main tool is the standard one, a combination of integration by parts with the boundedness property of Stieltjes integral.
0 references
bounded variation
0 references
Bernoulli polynomial
0 references
quadrature formula
0 references
Appell type polynomial
0 references
Ostrowski's inequality
0 references
trapezoidal inequality
0 references
0 references
