On ı-asymptotically lacunary statistical equivalent sequences

Savaş, Ekrem

On ı-asymptotically lacunary statistical equivalent sequences

dc.authorid	TR10766	en_US
dc.contributor.author	Savaş, Ekrem
dc.date.accessioned	2015-09-10T08:55:57Z
dc.date.available	2015-09-10T08:55:57Z
dc.date.issued	2013	en_US
dc.department	İstanbul Ticaret Üniversitesi	en_US
dc.description.abstract	This paper presents the following definition, which is a natural combination of the definitions for asymptotically equivalent, I-statistically limit and I-lacunary statistical convergence. Let theta be a lacunary sequence; the two nonnegative sequences x = (x(k)) and y = (y(k)) are said to be I-asymptotically lacunary statistical equivalent of multiple L provided that for every epsilon > 0, and delta > 0, {r is an element of N : 1/h(r)vertical bar{k is an element of l(r) : vertical bar x(k)/y(k) - L vertical bar >=epsilon}vertical bar >=delta}is an element of I (denoted by x (S theta L(I))similar to y) and simply I-asymptotically lacunary statistical equivalent if L = 1.	en_US
dc.identifier.endpage	272	en_US
dc.identifier.issn	1305-7820
dc.identifier.issue	2
dc.identifier.scopus	2-s2.0-84887506461	en_US
dc.identifier.scopusquality	N/A	en_US
dc.identifier.startpage	267	en_US
dc.identifier.uri	https://hdl.handle.net/11467/1151
dc.identifier.uri	http://dx.doi.org/10.1186/1687-1847-2013-111
dc.identifier.volume	4	en_US
dc.identifier.wos	WOS:000319434900001	en_US
dc.identifier.wosquality	Q2	en_US
dc.indekslendigikaynak	Web of Science	en_US
dc.indekslendigikaynak	Scopus	en_US
dc.language.iso	en	en_US
dc.publisher	Springer International Publishing AG	en_US
dc.relation.ispartof	Thai Journal of Mathematics	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Asymptotical Equivalent	en_US
dc.subject	Ideal Convergence
dc.subject	Lacunary Sequence
dc.subject	Statistical Convergence
dc.title	On ı-asymptotically lacunary statistical equivalent sequences	en_US
dc.type	Article	en_US