A theorem on mappings with bounded derivatives with applications to quadrature rules and means
APPLIED MATHEMATICS AND COMPUTATION, vol.138, pp.425-434, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 138
- Publication Date: 2003
- Doi Number: 10.1016/s0096-3003(02)00146-7
- Journal Name: APPLIED MATHEMATICS AND COMPUTATION
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.425-434
- Bursa Uludag University Affiliated: Yes
Abstract
In this paper, we establish a new inequality of Theorem 2 [Appl. Math. Lett. 13 (2000) 19] (Dragomir's integral inequality) for functions whose derivatives are bounded. This has immediate applications in numerical integration where new estimates are obtained for the remainder term of the trapezoid, mid-point. Some natural applications to special means of real numbers are given. For several recent results concerning Dragomir's integral inequality (see [Appl. Math. Lett. 13 (2000) 191] where further references are listed). (C) 2002 Elsevier Science Inc. All rights reserved.