Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight
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| dc.contributor.author | Cerone, Pietro
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| dc.contributor.author | Dragomir, Sever S.
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| dc.contributor.author | Kikianty, Eder
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| dc.date.accessioned | 2017-11-24T07:41:12Z | |
| dc.date.available | 2017-11-24T07:41:12Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We present some inequalities of Ostrowski and trapezoid type with complex exponential weight, for complex-valued absolutely continuous functions. These inequalities are related to Pompeiu’s mean value theorem. Special cases of these inequalities are applied to obtain (i) some approximation results for the finite Fourier and Laplace transforms; (ii) refinements of the Ostrowski and trapezoid inequalities; and (iii) new Ostrowski and trapezoid type inequalities. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | am2017 | en_ZA |
| dc.description.uri | http://jmi.ele-math.com | en_ZA |
| dc.identifier.citation | Cerone, P., Dragomir, S.S. & Kikianty, E. 2017, 'Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight', Journal of Mathematical Inequalities, vol 11, no. 4, pp. 947-964. | en_ZA |
| dc.identifier.issn | 1846-579X (print) | |
| dc.identifier.issn | 1848-9575 (online) | |
| dc.identifier.other | 10.7153/jmi-2017-11-72 | |
| dc.identifier.uri | http://hdl.handle.net/2263/63333 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Element d.o.o. | en_ZA |
| dc.rights | © Element, Zagreb. Article is published under the terms of the Creative Commons Attribution Non Commercial License which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes. | en_ZA |
| dc.subject | Ostrowski inequality | en_ZA |
| dc.subject | Trapezoid inequality | en_ZA |
| dc.subject | Complex exponential weight | en_ZA |
| dc.subject | Laplace transform | en_ZA |
| dc.subject | Fourier transform | en_ZA |
| dc.title | Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight | en_ZA |
| dc.type | Article | en_ZA |
