{"id":"https://openalex.org/W2801937814","doi":null,"title":"Operat\u00f6rlerin Pozitif Lineer D\u00f6n\u00fc\u015f\u00fcmleri i\u00e7in Baz\u0131 E\u015fitsizlikler","display_name":"Operat\u00f6rlerin Pozitif Lineer D\u00f6n\u00fc\u015f\u00fcmleri i\u00e7in Baz\u0131 E\u015fitsizlikler","publication_year":2017,"publication_date":"2017-10-04","ids":{"openalex":"https://openalex.org/W2801937814","mag":"2801937814"},"language":"tr","primary_location":{"id":"pmh:oai:dergipark.org.tr:article/341624","doi":null,"is_oa":false,"landing_page_url":"https://dergipark.org.tr/en/pub/adyujsci/article/341624","pdf_url":null,"source":{"id":"https://openalex.org/S4210214199","display_name":"Ad\u0131yaman \u00fcniversitesi fen bilimleri dergisi","issn_l":"2146-586X","issn":["2146-586X","2147-1630"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["tr-dizin"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"parent_works":[],"lineage":["https://openalex.org/W2801937814"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038769226","display_name":"\u0130brahim Halil G\u00fcm\u00fc\u015f","orcid":"https://orcid.org/0000-0002-3071-1159","observed_orcids":["https://orcid.org/0000-0002-3071-1159"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G\u00dcM\u00dc\u015e, \u0130brahim Halil","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5049467135","display_name":"Xiaohui Fu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"FU, Xiaohui","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/positive-linear-operators","display_name":"positive linear operators","score":0.7940000295639038},{"id":"https://openalex.org/keywords/operator-inequalities","display_name":"operator inequalities","score":0.6859999895095825},{"id":"https://openalex.org/keywords/operator-means","display_name":"operator means","score":0.3479999899864197}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5260493755340576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.493475079536438},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.46351325511932373},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4241427183151245},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.17152035236358643},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.15468984842300415},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.041321128606796265},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:dergipark.org.tr:article/341624","doi":null,"is_oa":false,"landing_page_url":"https://dergipark.org.tr/en/pub/adyujsci/article/341624","pdf_url":null,"source":{"id":"https://openalex.org/S4210214199","display_name":"Ad\u0131yaman \u00fcniversitesi fen bilimleri dergisi","issn_l":"2146-586X","issn":["2146-586X","2147-1630"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["tr-dizin"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dergipark.gov.tr:article/341624","doi":null,"is_oa":false,"landing_page_url":"http://dergipark.gov.tr/adyusci/issue/33835/341624","pdf_url":null,"source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\\n Volume: 7, Issue: 2\\n 133-140\\n \\n","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2943709474","https://openalex.org/W2577982954","https://openalex.org/W1498998360","https://openalex.org/W1972230426","https://openalex.org/W1967463281","https://openalex.org/W2962813054","https://openalex.org/W429344588","https://openalex.org/W2105906966","https://openalex.org/W2035958560","https://openalex.org/W2746295383"],"abstract_inverted_index":{"Lin\u2019in[3]":[0],"teki":[1],"\u00e7al\u0131\u015fmas\u0131ndan":[2],"ilhamalarak,":[3],"Mond":[4],"ve":[5,28,50],"Pecaric\u2019in":[6],"[1]":[7],"deki":[8],"\u00e7al\u0131\u015fmas\u0131nda":[9],"verilen":[10],"baz\u0131":[11],"operat\u00f6re\u015fitsizliklerinin":[12],"genelle\u015ftirilmesi":[13],"\u015fu":[14],"\u015fekilde":[15],"yap\u0131ld\u0131:":[16],"A,":[17,37],"Hilbertuzay\u0131":[18],"\u00fczerinde":[19,40],"0<m\u2264A\u2264M":[20,41],"\u015fart\u0131n\u0131sa\u011flayan":[21],"bir":[22,44],"pozitif":[23,32,45,55],"operat\u00f6r":[24,46],"olmak":[25,47],"\u00fczere,":[26,48],"2<p<\u221e":[27],"hernormalize":[29],"edilmi\u015f":[30,53],"\u03a6":[31,54],"lineerd\u00f6n\u00fc\u015f\u00fcm\u00fc":[33],"i\u00e7in\u03a6^{p}(A\u00b2)\u2264((((M\u00b2+m\u00b2)^{p})/(4M^{p}m^{p})))\u00b2\u03a6(A)^{2p}.e\u015fitsizli\u011fi":[34],"ge\u00e7erlidir.":[35],"Yine":[36],"Hilbert":[38],"uzay\u0131":[39],"\u015fart\u0131n\u0131":[42],"sa\u011flayan":[43],"1\u2264p<\u221e":[49],"her":[51],"normalize":[52],"lineer":[56],"d\u00f6n\u00fc\u015f\u00fcm\u00fc":[57],"i\u00e7in\u03a6^{p}(A\u207b\u00b2)\u2264((1/(4(Mm)^{p}))(M+m+(((M-m)\u00b2)/(4(M+m))))^{2p})\u00b2\u03a6(A)^{-2p}e\u015fitsizli\u011fige\u00e7erlidir.":[58]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2025-10-10T00:00:00"}