{"id":"https://openalex.org/W4395000245","doi":"https://doi.org/10.20310/2686-9667-2024-29-145-98-120","title":"A new method of estimation of moduli of initial Taylor coefficients on the class of bounded non-vanishing functions","display_name":"A new method of estimation of moduli of initial Taylor coefficients on the class of bounded non-vanishing functions","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4395000245","doi":"https://doi.org/10.20310/2686-9667-2024-29-145-98-120"},"language":"en","primary_location":{"id":"doi:10.20310/2686-9667-2024-29-145-98-120","doi":"https://doi.org/10.20310/2686-9667-2024-29-145-98-120","is_oa":false,"landing_page_url":"https://doi.org/10.20310/2686-9667-2024-29-145-98-120","pdf_url":null,"source":{"id":"https://openalex.org/S4210235639","display_name":"Russian Universities Reports Mathematics","issn_l":"2686-9667","issn":["2686-9667","2782-3342"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1","russia-white-list-3"],"host_organization":"https://openalex.org/I108321963","host_organization_name":"Tambov State University","host_organization_lineage":["https://openalex.org/I108321963"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Russian Universities Reports. Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"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/A5085535842","display_name":"\u0414\u0435\u043d\u0438\u0441 \u0421\u0442\u0443\u043f\u0438\u043d","orcid":"https://orcid.org/0000-0002-9183-9543","observed_orcids":["https://orcid.org/0000-0002-9183-9543"]},"institutions":[{"id":"https://openalex.org/I2799967260","display_name":"Tver State University","ror":"https://ror.org/03c8qq315","country_code":"RU","type":"education","lineage":["https://openalex.org/I2799967260"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Denis L. Stupin","raw_affiliation_strings":["Tver State University"],"raw_orcid":"https://orcid.org/0000-0002-9183-9543","affiliations":[{"raw_affiliation_string":"Tver State University","institution_ids":["https://openalex.org/I2799967260"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085535842"],"corresponding_institution_ids":["https://openalex.org/I2799967260"],"apc_list":null,"apc_paid":null,"fwci":1.4487,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78055976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":null,"issue":"145","first_page":"98","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9990000128746033,"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":0.9990000128746033,"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":0.00039999998989515007,"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":9.999999747378752e-05,"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/taylor-coefficients","display_name":"Taylor coefficients","score":0.878000020980835},{"id":"https://openalex.org/keywords/sharp-coefficient-estimates","display_name":"sharp coefficient estimates","score":0.8799999952316284},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"constrained optimization","score":0.5099999904632568},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.9520000219345093},{"id":"https://openalex.org/keywords/extremal-functions","display_name":"extremal functions","score":0.7990000247955322},{"id":"https://openalex.org/keywords/analytic-functions-in-the-unit-disk","display_name":"analytic functions in the unit disk","score":0.6179999709129333}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8266863822937012},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.711466908454895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6707519292831421},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.6566111445426941},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.5792421102523804},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.5562446713447571},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4829349219799042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45093050599098206},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38220450282096863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.175115168094635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12373098731040955},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0958758294582367},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08222803473472595},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.20310/2686-9667-2024-29-145-98-120","doi":"https://doi.org/10.20310/2686-9667-2024-29-145-98-120","is_oa":false,"landing_page_url":"https://doi.org/10.20310/2686-9667-2024-29-145-98-120","pdf_url":null,"source":{"id":"https://openalex.org/S4210235639","display_name":"Russian Universities Reports Mathematics","issn_l":"2686-9667","issn":["2686-9667","2782-3342"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1","russia-white-list-3"],"host_organization":"https://openalex.org/I108321963","host_organization_name":"Tambov State University","host_organization_lineage":["https://openalex.org/I108321963"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Russian Universities Reports. Mathematics","raw_type":"journal-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":16,"referenced_works":["https://openalex.org/W107291266","https://openalex.org/W1654068566","https://openalex.org/W1973856482","https://openalex.org/W1980444495","https://openalex.org/W1988571822","https://openalex.org/W1994199912","https://openalex.org/W2002640667","https://openalex.org/W2003583538","https://openalex.org/W2029022667","https://openalex.org/W2108538051","https://openalex.org/W2114013702","https://openalex.org/W2367519446","https://openalex.org/W2767178195","https://openalex.org/W4323664427","https://openalex.org/W4387681019","https://openalex.org/W6997596479"],"related_works":["https://openalex.org/W1654068566","https://openalex.org/W4402068907","https://openalex.org/W4313816502","https://openalex.org/W4387681019","https://openalex.org/W2360591462","https://openalex.org/W4416571335","https://openalex.org/W4409411321","https://openalex.org/W4379881813","https://openalex.org/W2012439429","https://openalex.org/W1535191787"],"abstract_inverted_index":{"The":[0,148,163,186,231,256],"task":[1],"of":[2,7,10,19,29,36,49,54,59,65,78,84,105,118,121,135,141,151,166,188,216,219,240,243,276,278,281,283],"obtaining":[3],"the":[4,8,11,16,27,34,47,51,66,74,85,102,106,115,119,122,127,137,142,167,178,183,189,197,217,220,226,241,248,264,279,288],"sharp":[5,116,214],"estimate":[6,215],"modulus":[9,120],"n-th":[12,123],"Taylor":[13,124,223,245,285],"coefficient":[14,125],"on":[15,101,126,203,209,225,247,287],"class":[17,35,128,227,249,289],"B":[18,129,228,250,290],"bounded":[20,38],"non-vanishing":[21],"functions":[22,89],"has":[23,43,97],"been":[24,44,91,98],"reduced":[25,45],"to":[26,46,72],"problem":[28,48],"estimating":[30,117],"a":[31,55,112,155,159,170,174,213],"functional":[32],"over":[33],"normalized":[37],"functions,":[39],"which":[40],"in":[41],"turn":[42],"finding":[50,79,136,173],"constrained":[52,80,139],"maximum":[53,140,176],"non-negative":[56],"objective":[57,88,107,143],"function":[58,108,144],"2n-3":[60],"real":[61],"arguments":[62],"with":[63,109,158,177,236],"constraints":[64],"inequality":[67],"type,":[68],"that":[69],"allows":[70],"us":[71],"apply":[73],"standard":[75],"numerical":[76,190],"methods":[77],"extrema.":[81],"Analytical":[82],"expressions":[83],"first":[86,149,221],"six":[87,222],"have":[90],"obtained":[92,181,232],"and":[93,195,251,263],"their":[94],"Lipschitz":[95,103],"continuity":[96,104],"proved.":[99],"Based":[100,202],"number":[110],"n,":[111],"method":[113,171],"for":[114,172,200,258,269],"is":[130,145,229,267,291],"rigorously":[131],"proven.":[132],"An":[133],"algorithm":[134,153,168],"global":[138],"being":[146],"discussed.":[147],"step":[150,165],"this":[152],"involves":[154],"brute-force":[156],"search":[157],"relatively":[160],"large":[161],"step.":[162,185],"second":[164],"uses":[169],"local":[175],"initial":[179,244,284],"points":[180],"at":[182],"previous":[184],"results":[187,233],"calculations":[191],"are":[192,234,261],"presented":[193],"graphically":[194],"confirm":[196],"Krzyz":[198,265],"conjecture":[199],"n=1,\u2026,6.":[201],"these":[204],"calculations,":[205],"as":[206,208],"well":[207],"so-called":[210],"asymptotic":[211],"estimates,":[212],"moduli":[218,242,282],"coefficients":[224,246,286],"derived.":[230],"compared":[235],"previously":[237],"known":[238],"estimates":[239],"its":[252],"subclasses":[253,260],"B_t,":[254],"t\u22650.":[255],"extremals":[257],"B_t":[259,270],"discussed":[262],"hypothesis":[266],"updated":[268],"subclasses.":[271],"A":[272],"brief":[273],"historical":[274],"overview":[275],"research":[277],"estimations":[280],"provided.":[292]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-04-23T00:00:00"}