{"id":"https://openalex.org/W2092642200","doi":"https://doi.org/10.1155/ijmms/2006/62548","title":"Subordination by convex functions","display_name":"Subordination by convex functions","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2092642200","doi":"https://doi.org/10.1155/ijmms/2006/62548","mag":"2092642200"},"language":"en","primary_location":{"id":"doi:10.1155/ijmms/2006/62548","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/62548","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/062548.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2006/062548.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103063501","display_name":"Rosihan M. Ali","orcid":"https://orcid.org/0000-0002-6000-0200"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Rosihan M. Ali","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800","institution_ids":["https://openalex.org/I139322472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053787757","display_name":"V. Ravichandran","orcid":"https://orcid.org/0000-0002-3632-7529"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"V. Ravichandran","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800","institution_ids":["https://openalex.org/I139322472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055167246","display_name":"N. Seenivasagan","orcid":null},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"N. Seenivasagan","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), Penang 11800","institution_ids":["https://openalex.org/I139322472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.6474,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82381002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2006","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11822","display_name":"Analytic and geometric function theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9388999938964844,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subordination","display_name":"Subordination (linguistics)","score":0.8916546106338501},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8821609616279602},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5428670644760132},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5183095335960388},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.47095805406570435},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44519904255867004},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.41055065393447876},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16969862580299377},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1684289276599884},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.08730211853981018}],"concepts":[{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.8916546106338501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8821609616279602},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5428670644760132},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5183095335960388},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.47095805406570435},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44519904255867004},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.41055065393447876},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16969862580299377},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1684289276599884},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.08730211853981018},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/ijmms/2006/62548","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/62548","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/062548.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.521.9090","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.521.9090","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume2006/62548.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.602.1116","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.602.1116","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.emis.de/journals/HOA/IJMMS/Volume2006/062548.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:hin:jijmms:062548","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2006/062548.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:36ef60a695114462a89c16faeebdc8a9","is_oa":true,"landing_page_url":"https://doaj.org/article/36ef60a695114462a89c16faeebdc8a9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/ijmms/2006/62548","is_oa":true,"landing_page_url":"https://doi.org/10.1155/ijmms/2006/62548","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2006/062548.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2092642200.pdf","grobid_xml":"https://content.openalex.org/works/W2092642200.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W24521868","https://openalex.org/W2017520442","https://openalex.org/W2042036001","https://openalex.org/W2073026983","https://openalex.org/W2079792778","https://openalex.org/W2085013072","https://openalex.org/W2137367697","https://openalex.org/W2189554300","https://openalex.org/W4212909964","https://openalex.org/W4245317596","https://openalex.org/W4252973906"],"related_works":["https://openalex.org/W2007576447","https://openalex.org/W2137493863","https://openalex.org/W2611101415","https://openalex.org/W2964006714","https://openalex.org/W2356261519","https://openalex.org/W1916044092","https://openalex.org/W4295951407","https://openalex.org/W2379359887","https://openalex.org/W2185500298","https://openalex.org/W3199288759"],"abstract_inverted_index":{"For":[0,30],"a":[1,38,47],"fixed":[2],"analytic":[3,26],"function":[4],"defined":[5],"on":[6],"the":[7,22,44],"open":[8],"unit":[9],"disk":[10],"and":[11],"\u03b3":[12,19,36],"&lt;":[13],"1,":[14],"let":[15],"T":[16,33],"g":[17,34],"(":[18,35],")":[20],"denote":[21],"class":[23],"of":[24],"all":[25],"functions":[27,31],"satisfying":[28],".":[29],"in":[32],"),":[37],"subordination":[39],"result":[40,52],"is":[41],"derived":[42],"involving":[43],"convolution":[45],"with":[46],"normalized":[48],"convex":[49],"function.":[50],"Our":[51],"includes":[53],"as":[54],"special":[55],"cases":[56],"several":[57],"earlier":[58],"works.":[59]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
