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Title: | Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula | Authors: | Dragomir, S.S. Agarwal, R.P. |
Keywords: | Convex functions Hermite-Hadamard inequality Integral inequalities Numerical integration Special means Trapezoidal formula |
Issue Date: | Sep-1998 | Citation: | Dragomir, S.S.,Agarwal, R.P. (1998-09). Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. Applied Mathematics Letters 11 (5) : 91-95. ScholarBank@NUS Repository. | Abstract: | 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 trapezoidal formula are also addressed. © 1998 Elsevier Science Ltd. All rights reserved. | Source Title: | Applied Mathematics Letters | URI: | http://scholarbank.nus.edu.sg/handle/10635/104408 | ISSN: | 08939659 |
Appears in Collections: | Staff Publications |
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