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

Autor:	Sever S Dragomir, Eder Kikianty, Pietro Cerone
Rok vydání:	2017
Předmět:	symbols.namesake Pure mathematics Fourier transform Laplace transform Mean value theorem (divided differences) Mathematical analysis Euler's formula symbols Type (model theory) Analysis Uncategorized Mathematics
Zdroj:	Journal of Mathematical Inequalities. :947-964
ISSN:	1846-579X
DOI:	10.7153/jmi-2017-11-72
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80b78b37e4f5ab0ba62020cb264f0dba https://doi.org/10.7153/jmi-2017-11-72 Zobrazit plný text záznamu