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

Cerone, Pietro; Dragomir, Sever Silvestru; Kikianty, Eder

doi:10.26181/22589878.v1

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

journal contribution

posted on 2023-04-12, 00:24 authored by Pietro CeronePietro Cerone, Sever Silvestru Dragomir, Eder Kikianty

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.

History

Publication Date

2017-12-01

Journal

Journal of Mathematical Inequalities

Volume

11

Issue

4

Pagination

18p. (p. 947-964)

Publisher

Element d.o.o.

ISSN

1846-579X

Rights Statement

© The Authors 2017. 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. made available under the CC-BY-NC-ND 4.0 license: https://creativecommons.org/licenses/by-nc-nd/4.0/