In this paper, we shall offer two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions. Some natural applications to special means of real numbers are given. Finally, some error estimates for the t
Some inequalities for mappings whose derivatives are bounded and applications to special means of real numbers
✍ Scribed by U.S Kirmaci; M.E Özdemir
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 194 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
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.
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