Adelaide Research & Scholarship
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https://hdl.handle.net/2440/32319
| Type: | Journal article |
| Title: | Hadamard and Dragomir-Agarwal inequalities, higher-order convexity and the Euler formula |
| Author: | Dedio, L. Pearce, Charles Edward Miller Peoario, J. |
| Citation: | Journal of the Korean Mathematical Society, 2001; 38 (6):1235-1243 |
| Publisher: | Korean Mathematical Society |
| Issue Date: | 2001 |
| ISSN: | 0304-9914 |
| School/Discipline: | School of Mathematical Sciences : Applied Mathematics |
| Abstract: | We obtain bounds relating to Euler's formula for the case of a function with higher--order convexity properties. These are used to derive estimates of the error involved in the use of the trapezoidal formula for integrating such a function. |
| Keywords: | Hadamard inequality, Euler formula, convex functions, integral inequalities, numerical integration |
| Published version: | http://www.mathnet.or.kr/mathnet/kms_content.php?no=361578 |
| Appears in Collections: | Mathematical Sciences publications |
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