Norm of Hilbert operator on sequence spaces

In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2020-04, Vol.2020 (1), p.1-13, Article 117
Main Author: Roopaei, Hadi
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Cesàro matrix
Copson matrix
Difference sequence space
Hilbert matrix
Inclusions
Mathematics
Mathematics and Statistics
Norm
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c429t-3c3f0a0fc840ce7533fc04015cedfad70a41744d2078afb0f95f44314b5ac8b73
cites cdi_FETCH-LOGICAL-c429t-3c3f0a0fc840ce7533fc04015cedfad70a41744d2078afb0f95f44314b5ac8b73
container_end_page 13
container_issue 1
container_start_page 1
container_title Journal of inequalities and applications
container_volume 2020
creator Roopaei, Hadi
description In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.
doi_str_mv 10.1186/s13660-020-02380-2
format article
fullrecord <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_141865ad3ac04165a2d4bfc28224b097</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_141865ad3ac04165a2d4bfc28224b097</doaj_id><sourcerecordid>2396092777</sourcerecordid><originalsourceid>FETCH-LOGICAL-c429t-3c3f0a0fc840ce7533fc04015cedfad70a41744d2078afb0f95f44314b5ac8b73</originalsourceid><addsrcrecordid>eNp9UE1LxDAQDaLguvoHPBU8SnUySZv0KIu6C6IXBW8hTZOly25Tk-7Bf2-6FfXkYZhheB8zj5BLCjeUyvI2UlaWkAOOxSTkeERmFLDKkeP78Z_5lJzFuAFAyiSfketnH3aZd9my3dY2DJnvbdCDD5nvsmg_9rYzNou9NjaekxOnt9FefPc5eXu4f10s86eXx9Xi7ik3HKshZ4Y50OCM5GCsKBhzBjjQwtjG6UaA5lRw3iAIqV0Nrioc54zyutBG1oLNyWrSbbzeqD60Ox0-ldetOix8WCsdhtZsraI8fV_ohulkQdOEDa-dQYnIa6hGratJqw8-PRMHtfH70KXzFbKqhAqFGFE4oUzwMQbrflwpqDFgNQWsUsDqEHBizwmbSDGBu7UNv9L_sL4ADpF7rg</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2396092777</pqid></control><display><type>article</type><title>Norm of Hilbert operator on sequence spaces</title><source>Publicly Available Content Database</source><source>Springer Nature - SpringerLink Journals - Fully Open Access</source><creator>Roopaei, Hadi</creator><creatorcontrib>Roopaei, Hadi</creatorcontrib><description>In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.</description><identifier>ISSN: 1029-242X</identifier><identifier>ISSN: 1025-5834</identifier><identifier>EISSN: 1029-242X</identifier><identifier>DOI: 10.1186/s13660-020-02380-2</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Applications of Mathematics ; Cesàro matrix ; Copson matrix ; Difference sequence space ; Hilbert matrix ; Inclusions ; Mathematics ; Mathematics and Statistics ; Norm</subject><ispartof>Journal of inequalities and applications, 2020-04, Vol.2020 (1), p.1-13, Article 117</ispartof><rights>The Author(s) 2020</rights><rights>The Author(s) 2020. 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><citedby>FETCH-LOGICAL-c429t-3c3f0a0fc840ce7533fc04015cedfad70a41744d2078afb0f95f44314b5ac8b73</citedby><cites>FETCH-LOGICAL-c429t-3c3f0a0fc840ce7533fc04015cedfad70a41744d2078afb0f95f44314b5ac8b73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2396092777/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2396092777?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,25731,27901,27902,36989,44566,74869</link.rule.ids></links><search><creatorcontrib>Roopaei, Hadi</creatorcontrib><title>Norm of Hilbert operator on sequence spaces</title><title>Journal of inequalities and applications</title><addtitle>J Inequal Appl</addtitle><description>In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.</description><subject>Analysis</subject><subject>Applications of Mathematics</subject><subject>Cesàro matrix</subject><subject>Copson matrix</subject><subject>Difference sequence space</subject><subject>Hilbert matrix</subject><subject>Inclusions</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Norm</subject><issn>1029-242X</issn><issn>1025-5834</issn><issn>1029-242X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp9UE1LxDAQDaLguvoHPBU8SnUySZv0KIu6C6IXBW8hTZOly25Tk-7Bf2-6FfXkYZhheB8zj5BLCjeUyvI2UlaWkAOOxSTkeERmFLDKkeP78Z_5lJzFuAFAyiSfketnH3aZd9my3dY2DJnvbdCDD5nvsmg_9rYzNou9NjaekxOnt9FefPc5eXu4f10s86eXx9Xi7ik3HKshZ4Y50OCM5GCsKBhzBjjQwtjG6UaA5lRw3iAIqV0Nrioc54zyutBG1oLNyWrSbbzeqD60Ox0-ldetOix8WCsdhtZsraI8fV_ohulkQdOEDa-dQYnIa6hGratJqw8-PRMHtfH70KXzFbKqhAqFGFE4oUzwMQbrflwpqDFgNQWsUsDqEHBizwmbSDGBu7UNv9L_sL4ADpF7rg</recordid><startdate>20200429</startdate><enddate>20200429</enddate><creator>Roopaei, Hadi</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>PRINS</scope><scope>PTHSS</scope><scope>DOA</scope></search><sort><creationdate>20200429</creationdate><title>Norm of Hilbert operator on sequence spaces</title><author>Roopaei, Hadi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c429t-3c3f0a0fc840ce7533fc04015cedfad70a41744d2078afb0f95f44314b5ac8b73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analysis</topic><topic>Applications of Mathematics</topic><topic>Cesàro matrix</topic><topic>Copson matrix</topic><topic>Difference sequence space</topic><topic>Hilbert matrix</topic><topic>Inclusions</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Norm</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Roopaei, Hadi</creatorcontrib><collection>Springer Open Access</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest advanced technologies &amp; aerospace journals</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Journal of inequalities and applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Roopaei, Hadi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Norm of Hilbert operator on sequence spaces</atitle><jtitle>Journal of inequalities and applications</jtitle><stitle>J Inequal Appl</stitle><date>2020-04-29</date><risdate>2020</risdate><volume>2020</volume><issue>1</issue><spage>1</spage><epage>13</epage><pages>1-13</pages><artnum>117</artnum><issn>1029-242X</issn><issn>1025-5834</issn><eissn>1029-242X</eissn><abstract>In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1186/s13660-020-02380-2</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1029-242X
ispartof Journal of inequalities and applications, 2020-04, Vol.2020 (1), p.1-13, Article 117
issn 1029-242X
1025-5834
1029-242X
language eng
recordid cdi_doaj_primary_oai_doaj_org_article_141865ad3ac04165a2d4bfc28224b097
source Publicly Available Content Database; Springer Nature - SpringerLink Journals - Fully Open Access
subjects Analysis
Applications of Mathematics
Cesàro matrix
Copson matrix
Difference sequence space
Hilbert matrix
Inclusions
Mathematics
Mathematics and Statistics
Norm
title Norm of Hilbert operator on sequence spaces
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-06T15%3A17%3A15IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_doaj_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Norm%20of%20Hilbert%20operator%20on%20sequence%20spaces&rft.jtitle=Journal%20of%20inequalities%20and%20applications&rft.au=Roopaei,%20Hadi&rft.date=2020-04-29&rft.volume=2020&rft.issue=1&rft.spage=1&rft.epage=13&rft.pages=1-13&rft.artnum=117&rft.issn=1029-242X&rft.eissn=1029-242X&rft_id=info:doi/10.1186/s13660-020-02380-2&rft_dat=%3Cproquest_doaj_%3E2396092777%3C/proquest_doaj_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c429t-3c3f0a0fc840ce7533fc04015cedfad70a41744d2078afb0f95f44314b5ac8b73%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2396092777&rft_id=info:pmid/&rfr_iscdi=true