Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces
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Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2008) Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces. Bulletin of the Korean Mathematical Society, 45 (4). pp. 763-780. ISSN 1015-8634
Abstract
An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces. Several particular cases are provided which recapture some earlier results, along with the results for trapezoidal type inequalities and the classical Ostrowski inequality. Some inequalities are obtained by applying these results for semi-inner products; and some of these inequalities are proven to be sharp.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/3759 |
| Official URL | http://www.kms.or.kr/eng/Contents/journal_02.asp?l... |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0101 Pure Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |
| Keywords | ResPubID15155, Ostrowski type inequality, absolutely continuous function, semiinner product |
| Citations in Scopus | 4 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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