{"id":"https://openalex.org/W4400071774","doi":"https://doi.org/10.1109/access.2024.3420108","title":"Hermite-Hadamard Type Inequalities and Convex Functions in Signal Processing","display_name":"Hermite-Hadamard Type Inequalities and Convex Functions in Signal Processing","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400071774","doi":"https://doi.org/10.1109/access.2024.3420108"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3420108","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3420108","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3420108","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111240640","display_name":"Wenfeng Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154361","display_name":"Shanghai Jian Qiao University","ror":"https://ror.org/04xdqtw10","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154361"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenfeng Sun","raw_affiliation_strings":["Educational Technology Center, Shanghai Jianqiao University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Educational Technology Center, Shanghai Jianqiao University, Shanghai, China","institution_ids":["https://openalex.org/I4210154361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060690411","display_name":"Xiaowei He","orcid":"https://orcid.org/0000-0003-2126-178X"},"institutions":[{"id":"https://openalex.org/I4210154361","display_name":"Shanghai Jian Qiao University","ror":"https://ror.org/04xdqtw10","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154361"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaowei He","raw_affiliation_strings":["Educational Technology Center, Shanghai Jianqiao University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Educational Technology Center, Shanghai Jianqiao University, Shanghai, China","institution_ids":["https://openalex.org/I4210154361"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111240640"],"corresponding_institution_ids":["https://openalex.org/I4210154361"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":4.1282,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.93890139,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"12","issue":null,"first_page":"92906","last_page":"92918"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9983000159263611,"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":0.9983000159263611,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/hadamard-transform","display_name":"Hadamard transform","score":0.6992295384407043},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5673151612281799},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5574724078178406},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5506986975669861},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4978828430175781},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.48280084133148193},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.47607558965682983},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.47433584928512573},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.44125139713287354},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4373871982097626},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.413730651140213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3355232775211334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32956427335739136},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1474991738796234},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.12941721081733704}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6992295384407043},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5673151612281799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5574724078178406},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5506986975669861},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4978828430175781},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.48280084133148193},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.47607558965682983},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.47433584928512573},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.44125139713287354},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4373871982097626},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.413730651140213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3355232775211334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32956427335739136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1474991738796234},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.12941721081733704},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3420108","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3420108","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a20ba3cb1f1948afb432c04e19104a2f","is_oa":true,"landing_page_url":"https://doaj.org/article/a20ba3cb1f1948afb432c04e19104a2f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 92906-92918 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3420108","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3420108","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1565994978","https://openalex.org/W1916846197","https://openalex.org/W2036153559","https://openalex.org/W2109744589","https://openalex.org/W2138019908","https://openalex.org/W2151939631","https://openalex.org/W2513497136","https://openalex.org/W2912998819","https://openalex.org/W2979598251","https://openalex.org/W3007966282","https://openalex.org/W3014031184","https://openalex.org/W3029058286","https://openalex.org/W3035395731","https://openalex.org/W3040789250","https://openalex.org/W3045651807","https://openalex.org/W3089895623","https://openalex.org/W3092222175","https://openalex.org/W3109120660","https://openalex.org/W3162910720","https://openalex.org/W3210132371","https://openalex.org/W4210330073","https://openalex.org/W4308821485","https://openalex.org/W4319163766","https://openalex.org/W4375854061","https://openalex.org/W4375854239","https://openalex.org/W4389041267"],"related_works":["https://openalex.org/W4396753818","https://openalex.org/W4294618985","https://openalex.org/W2518252082","https://openalex.org/W2364547801","https://openalex.org/W2788930696","https://openalex.org/W4301016436","https://openalex.org/W4293867722","https://openalex.org/W4297791001","https://openalex.org/W4206205240","https://openalex.org/W2277657541"],"abstract_inverted_index":{"This":[0],"article":[1],"explores":[2],"the":[3,13,33,49,53,60,66,79,82,105,143,149,160,173,182,194],"integration":[4],"of":[5,15,86,107,151,185,196],"HermiteHadamard":[6,67],"Type":[7,68,109,187],"Inequalities":[8,110,188],"and":[9,22,36,56,75,84,92,111,121,132,138,145,166,180,189],"convex":[10,87,112,190],"functions":[11,113,191],"within":[12,94],"domain":[14],"signal":[16,95,115,129,198],"processing,":[17],"elucidating":[18,89],"their":[19,71,90,126],"theoretical":[20,63],"underpinnings":[21],"practical":[23],"implications.":[24],"Beginning":[25],"with":[26],"a":[27,99],"comprehensive":[28],"background,":[29],"we":[30,103,124,169],"focus":[31,100],"on":[32,101],"historical":[34],"context":[35],"foundational":[37],"concepts":[38],"that":[39],"underlie":[40],"these":[41,152],"mathematical":[42,72,153],"constructs.":[43],"Our":[44],"discussion":[45],"progresses":[46],"to":[47],"articulate":[48],"problem":[50],"formulation,":[51],"delineating":[52],"specific":[54],"challenges":[55,144],"objectives":[57],"addressed":[58],"in":[59,114,128,148,155,192],"study.":[61],"The":[62],"framework":[64],"elucidates":[65],"Inequalities,":[69],"highlighting":[70],"formulations,":[73],"properties,":[74],"fundamental":[76],"proofs.":[77],"Concurrently,":[78],"discourse":[80],"unfolds":[81],"theory":[83],"properties":[85],"functions,":[88],"significance":[91],"applications":[93],"processing":[96,116,199],"paradigms.":[97],"With":[98],"applications,":[102],"illustrate":[104],"utility":[106],"Hermite-Hadamard":[108,186],"tasks.":[117],"Through":[118],"empirical":[119],"studies":[120],"case":[122],"examples,":[123],"demonstrate":[125],"efficacy":[127],"denoising,":[130],"compression,":[131],"feature":[133],"extraction,":[134],"showcasing":[135],"tangible":[136],"results":[137],"comparative":[139],"analyses.":[140],"We":[141],"discuss":[142],"limitations":[146],"inherent":[147],"application":[150],"constructs":[154],"real-world":[156],"scenarios,":[157],"thereby":[158],"paving":[159],"way":[161],"for":[162],"future":[163],"research":[164],"directions":[165],"advancements.":[167],"Finally,":[168],"conclude":[170],"by":[171],"summarizing":[172],"key":[174],"insights":[175],"gleaned":[176],"from":[177],"our":[178],"exploration":[179],"underscore":[181],"profound":[183],"implications":[184],"shaping":[193],"landscape":[195],"contemporary":[197],"methodologies.":[200]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}