Ostrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weight

dc.contributor.authorCerone, Pietro
dc.contributor.authorDragomir, Sever S.
dc.contributor.authorKikianty, Eder
dc.date.accessioned2017-11-24T07:41:12Z
dc.date.available2017-11-24T07:41:12Z
dc.date.issued2017
dc.description.abstractWe 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.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianam2017en_ZA
dc.description.urihttp://jmi.ele-math.comen_ZA
dc.identifier.citationCerone, 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.issn1846-579X (print)
dc.identifier.issn1848-9575 (online)
dc.identifier.other10.7153/jmi-2017-11-72
dc.identifier.urihttp://hdl.handle.net/2263/63333
dc.language.isoenen_ZA
dc.publisherElement 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.subjectOstrowski inequalityen_ZA
dc.subjectTrapezoid inequalityen_ZA
dc.subjectComplex exponential weighten_ZA
dc.subjectLaplace transformen_ZA
dc.subjectFourier transformen_ZA
dc.titleOstrowski and trapezoid type inequalities related to Pompeiu's mean value theorem with complex exponential weighten_ZA
dc.typeArticleen_ZA

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