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f-asymptotically lacunary ideal equivalence of double sequences
In this study, we present the notions of f -asymptotically I 2 -equivalence, strongly f -asymptotically I 2 -equivalence, f -asymptotically lacunary I 2 -equivalence, and strongly f -asymptotically lacunary I 2 -equivalence of double sequences and investigate some relationships between them. Also, w...
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| Published in: | Journal of inequalities and applications 2019-08, Vol.2019 (1), p.1-11, Article 224 |
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| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c377t-f1dd5180144bd167afda462bb23d7c3b4748ee633c0de254d0cd32da919a4f093 |
| container_end_page | 11 |
| container_issue | 1 |
| container_start_page | 1 |
| container_title | Journal of inequalities and applications |
| container_volume | 2019 |
| creator | Pancaroǧlu Akın, Nimet |
| description | In this study, we present the notions of
f
-asymptotically
I
2
-equivalence, strongly
f
-asymptotically
I
2
-equivalence,
f
-asymptotically lacunary
I
2
-equivalence, and strongly
f
-asymptotically lacunary
I
2
-equivalence of double sequences and investigate some relationships between them. Also, we examine some relationships between strongly
f
-asymptotically
I
2
-equivalence and asymptotically
I
2
-statistical equivalence and between strongly
f
-asymptotically lacunary
I
2
-equivalence and asymptotically lacunary
I
2
-statistical equivalence of double sequences. |
| doi_str_mv | 10.1186/s13660-019-2175-7 |
| format | article |
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f
-asymptotically
I
2
-equivalence, strongly
f
-asymptotically
I
2
-equivalence,
f
-asymptotically lacunary
I
2
-equivalence, and strongly
f
-asymptotically lacunary
I
2
-equivalence of double sequences and investigate some relationships between them. Also, we examine some relationships between strongly
f
-asymptotically
I
2
-equivalence and asymptotically
I
2
-statistical equivalence and between strongly
f
-asymptotically lacunary
I
2
-equivalence and asymptotically lacunary
I
2
-statistical equivalence of double sequences.</description><identifier>ISSN: 1029-242X</identifier><identifier>ISSN: 1025-5834</identifier><identifier>EISSN: 1029-242X</identifier><identifier>DOI: 10.1186/s13660-019-2175-7</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Applications of Mathematics ; Asymptotic properties ; Asymptotically equivalence ; Double sequence ; Equivalence ; I 2 $\mathcal{I}_{2}$ -equivalence ; Lacunary sequence ; Mathematics ; Mathematics and Statistics ; Modulus function</subject><ispartof>Journal of inequalities and applications, 2019-08, Vol.2019 (1), p.1-11, Article 224</ispartof><rights>The Author(s) 2019</rights><rights>Journal of Inequalities and Applications is a copyright of Springer, (2019). All Rights Reserved. © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c377t-f1dd5180144bd167afda462bb23d7c3b4748ee633c0de254d0cd32da919a4f093</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2277973672/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2277973672?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,74998</link.rule.ids></links><search><creatorcontrib>Pancaroǧlu Akın, Nimet</creatorcontrib><title>f-asymptotically lacunary ideal equivalence of double sequences</title><title>Journal of inequalities and applications</title><addtitle>J Inequal Appl</addtitle><description>In this study, we present the notions of
f
-asymptotically
I
2
-equivalence, strongly
f
-asymptotically
I
2
-equivalence,
f
-asymptotically lacunary
I
2
-equivalence, and strongly
f
-asymptotically lacunary
I
2
-equivalence of double sequences and investigate some relationships between them. Also, we examine some relationships between strongly
f
-asymptotically
I
2
-equivalence and asymptotically
I
2
-statistical equivalence and between strongly
f
-asymptotically lacunary
I
2
-equivalence and asymptotically lacunary
I
2
-statistical equivalence of double sequences.</description><subject>Analysis</subject><subject>Applications of Mathematics</subject><subject>Asymptotic properties</subject><subject>Asymptotically equivalence</subject><subject>Double sequence</subject><subject>Equivalence</subject><subject>I 2 $\mathcal{I}_{2}$ -equivalence</subject><subject>Lacunary sequence</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Modulus function</subject><issn>1029-242X</issn><issn>1025-5834</issn><issn>1029-242X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1UE1LxDAQLaLguvoDvBU8VzNJ2iQnkcWPhQUvCt5Cmo-lS7ZZk1bYf2_WinrxNDOP997MvKK4BHQNwJubBKRpUIVAVBhYXbGjYgYI54nit-M__WlxltIGIQyE01lx6yqV9tvdEIZOK-_3pVd67FXcl52xypf2few-lLe9tmVwpQlj622ZMnyA0nlx4pRP9uK7zovXh_uXxVO1en5cLu5WlSaMDZUDY2rgCChtDTRMOaNog9sWE8M0aSmj3NqGEI2MxTU1SBuCjRIgFHVIkHmxnHxNUBu5i902nyiD6uQXEOJaqphf8FYKTYh1gGjtOLUGCwEUuMG8xrxBQLLX1eS1iyG_kQa5CWPs8_kSY8YEIw3DmQUTS8eQUrTuZysgechcTpnLnLk8ZC5Z1uBJkzK3X9v46_y_6BPbHIMx</recordid><startdate>20190822</startdate><enddate>20190822</enddate><creator>Pancaroǧlu Akın, Nimet</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>DOA</scope></search><sort><creationdate>20190822</creationdate><title>f-asymptotically lacunary ideal equivalence of double sequences</title><author>Pancaroǧlu Akın, Nimet</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c377t-f1dd5180144bd167afda462bb23d7c3b4748ee633c0de254d0cd32da919a4f093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Analysis</topic><topic>Applications of Mathematics</topic><topic>Asymptotic properties</topic><topic>Asymptotically equivalence</topic><topic>Double sequence</topic><topic>Equivalence</topic><topic>I 2 $\mathcal{I}_{2}$ -equivalence</topic><topic>Lacunary sequence</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Modulus function</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pancaroǧlu Akın, Nimet</creatorcontrib><collection>SpringerOpen</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Database (1962 - 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f
-asymptotically
I
2
-equivalence, strongly
f
-asymptotically
I
2
-equivalence,
f
-asymptotically lacunary
I
2
-equivalence, and strongly
f
-asymptotically lacunary
I
2
-equivalence of double sequences and investigate some relationships between them. Also, we examine some relationships between strongly
f
-asymptotically
I
2
-equivalence and asymptotically
I
2
-statistical equivalence and between strongly
f
-asymptotically lacunary
I
2
-equivalence and asymptotically lacunary
I
2
-statistical equivalence of double sequences.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1186/s13660-019-2175-7</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1029-242X |
| ispartof | Journal of inequalities and applications, 2019-08, Vol.2019 (1), p.1-11, Article 224 |
| issn | 1029-242X 1025-5834 1029-242X |
| language | eng |
| recordid | cdi_doaj_primary_oai_doaj_org_article_9c33ef1045f84ed2991418d285286013 |
| source | Publicly Available Content Database (Proquest) (PQ_SDU_P3); Springer Nature - SpringerLink Journals - Fully Open Access |
| subjects | Analysis Applications of Mathematics Asymptotic properties Asymptotically equivalence Double sequence Equivalence I 2 $\mathcal{I}_{2}$ -equivalence Lacunary sequence Mathematics Mathematics and Statistics Modulus function |
| title | f-asymptotically lacunary ideal equivalence of double sequences |
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