In this paper we derive some Grüss and Ostrowski-Grüss type inequalities for functions in L p -spaces. As applications, we provide some new estimates for the error in some numerical integration rules. In particular, we deal with the mid-point and trapezoid quadrature rules.
Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
✍ Scribed by S.S Dragomir; S Wang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 187 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
In this paper, we present a new proof to the classical Ostrowski's inequality and apply it to the estimation of error bounds for some special means and for some numerical quadrature rules.
📜 SIMILAR VOLUMES
## In this paper, we shall introduce two new inequalities of Hermite-Hadamard type for convex functions with bounded derivatives. Some applications to special means of real numbers are also included. (~) 2004 Elsevier Ltd. All rights reserved.
The constant y in the strengthened Cauchy-Buniakowski-Schwarz (C.B.S.) inequality plays a crucial role in the convergence rate of multilevel iterative methods as well as in the efficiency of a posteriori error estimators, that is in the framework of finite element approximations of S.P.D. problems.