An extension of trapezoid inequality to the complex integral

dc.contributor.author	Dragomir, Sever
dc.contributor.department	Other	tr_TR
dc.contributor.faculty	Other	tr_TR
dc.date.accessioned	2022-12-26T08:28:52Z
dc.date.available	2022-12-26T08:28:52Z
dc.date.issued	2021
dc.description.abstract	In this paper we extend the trapezoid inequality to the complex integral by providing upper bounds for the quantity \| ( v − u ) f ( u ) + ( w − v ) f ( w ) − ∫ γ f ( z ) d z \| under the assumptions that γ is a smooth path parametrized by z ( t ) , t ∈ [ a , b ] , u = z ( a ) , v = z ( x ) with x ∈ ( a , b ) and w = z ( b ) while f is holomorphic in G , an open domain and γ ∈ G . An application for circular paths is also given.	tr_TR
dc.description.index	Trdizin	tr_TR
dc.identifier.endpage	1130	tr_TR
dc.identifier.issn/e-issn	1303-5991
dc.identifier.issue	2	tr_TR
dc.identifier.startpage	1113	tr_TR
dc.identifier.uri	https://doi.org/10.31801/cfsuasmas.798863	tr_TR
dc.identifier.uri	http://hdl.handle.net/20.500.12575/86434
dc.identifier.volume	70	tr_TR
dc.language.iso	en	tr_TR
dc.publisher	Ankara Universitesi	tr_TR
dc.relation.isversionof	10.31801/cfsuasmas.798863	tr_TR
dc.relation.journal	Communications, Series A1:Mathematics and Statistics	tr_TR
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	tr_TR
dc.subject	Complex integral, continuous functions, holomorphic functions, trapezoid inequality	tr_TR
dc.title	An extension of trapezoid inequality to the complex integral	tr_TR
dc.type	Article	tr_TR

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