{"id":"https://openalex.org/W2048041816","doi":"https://doi.org/10.1090/s0025-5718-05-01795-3","title":"Hermite and Hermite\u2013Fej\u00e9r interpolation for Stieltjes polynomials","display_name":"Hermite and Hermite\u2013Fej\u00e9r interpolation for Stieltjes polynomials","publication_year":2005,"publication_date":"2005-11-03","ids":{"openalex":"https://openalex.org/W2048041816","doi":"https://doi.org/10.1090/s0025-5718-05-01795-3","mag":"2048041816"},"language":"lv","primary_location":{"id":"doi:10.1090/s0025-5718-05-01795-3","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-05-01795-3","pdf_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01795-3/S0025-5718-05-01795-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01795-3/S0025-5718-05-01795-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038550525","display_name":"Hyung\u2010Jo Jung","orcid":"https://orcid.org/0000-0002-3776-2960"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"H. Jung","raw_affiliation_strings":["Division of Applied Mathmatics, KAIST, 373-1 Gusongdong, Yusongku, Taejon 305-701, Korea"],"affiliations":[{"raw_affiliation_string":"Division of Applied Mathmatics, KAIST, 373-1 Gusongdong, Yusongku, Taejon 305-701, Korea","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038550525"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":null,"apc_paid":null,"fwci":0.9347,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71698291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"75","issue":"254","first_page":"743","last_page":"766"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9998999834060669,"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":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/algorithm","display_name":"Algorithm","score":0.5241932272911072},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3948511481285095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25438976287841797}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5241932272911072},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3948511481285095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25438976287841797}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-05-01795-3","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-05-01795-3","pdf_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01795-3/S0025-5718-05-01795-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.96.6585","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.96.6585","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2006-75-254/S0025-5718-05-01795-3/S0025-5718-05-01795-3.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-05-01795-3","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-05-01795-3","pdf_url":"https://www.ams.org/mcom/2006-75-254/S0025-5718-05-01795-3/S0025-5718-05-01795-3.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2048041816.pdf","grobid_xml":"https://content.openalex.org/works/W2048041816.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W170199059","https://openalex.org/W188408891","https://openalex.org/W1488909131","https://openalex.org/W1581686711","https://openalex.org/W1650035168","https://openalex.org/W1963906908","https://openalex.org/W1966016292","https://openalex.org/W1967970890","https://openalex.org/W1969598910","https://openalex.org/W1974860839","https://openalex.org/W1984639255","https://openalex.org/W1999348006","https://openalex.org/W2019254344","https://openalex.org/W2022937469","https://openalex.org/W2023900389","https://openalex.org/W2024128244","https://openalex.org/W2033735550","https://openalex.org/W2050191834","https://openalex.org/W2053007329","https://openalex.org/W2069855779","https://openalex.org/W2155263269","https://openalex.org/W2317768418","https://openalex.org/W2351241151","https://openalex.org/W3038165843","https://openalex.org/W3108692280","https://openalex.org/W4233080067","https://openalex.org/W4234869964","https://openalex.org/W4240429068","https://openalex.org/W4254005182","https://openalex.org/W4255427555","https://openalex.org/W6981988733"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W4313731559"],"abstract_inverted_index":{"Let":[0],"<inline-formula":[1,81,121,160,206],"content-type=\"math/mathml\">":[2,82,122,161,207,242],"<mml:math":[3,83,123,162,208,243],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[4,84,124,163,209,244],"alttext=\"w":[5,125,210],"Subscript":[6,87,126,166,211,249,256,264,276],"lamda":[7,21,91,127,172,212,257,268,282],"Baseline":[8,128,213,254,258,270,284],"left-parenthesis":[9,14,90,129,171,214,259,267,271,281,285],"x":[10,17,130,215,260,272,286,288,292],"right-parenthesis":[11,19,261,269,273,283,287],"colon":[12],"equals":[13,300,331],"1":[15,23,169,251,253,279,315,334],"minus":[16,22],"squared":[18],"Superscript":[20,89,170,252,266,280,289],"slash":[24],"2\">":[25],"<mml:semantics>":[26,93,132,174,217,338],"<mml:mrow>":[27,133,218],"<mml:msub>":[28,134,219,363],"<mml:mi>w</mml:mi>":[29,135,220,364],"<mml:mrow":[30,56,65,97,136,177,183,221,354,365,380],"class=\"MJX-TeXAtom-ORD\">":[31,57,66,98,137,178,184,222,355,366,381],"<mml:mi>":[32,58,101,138,187,223,367,384],"\u03bb":[33,59,102,139,188,224,368],"</mml:mi>":[34,60,103,140,189,225,369],"</mml:mrow>":[35,68,70,72,106,141,148,182,192,226,233,360,370],"</mml:msub>":[36,142,227,371],"<mml:mo":[37,40,43,54,99,104,143,146,185,190,228,231,372,375,382],"stretchy=\"false\">(</mml:mo>":[38,44,100,144,186,229,373,383],"<mml:mi>x</mml:mi>":[39,50,145,230,374],"stretchy=\"false\">)</mml:mo>":[41,55,105,147,191,232,376],"<mml:mo>:=</mml:mo>":[42],"<mml:mn>1</mml:mn>":[45,64,181,359,361],"<mml:mo>":[46,61,351,356],"\u2212":[47,62,357],"</mml:mo>":[48,63,353,358],"<mml:msup>":[49,53],"<mml:mn>2</mml:mn>":[51,69],"</mml:msup>":[52,71],"<mml:mo>/</mml:mo>":[67],"<mml:annotation":[73,108,149,194,234],"encoding=\"application/x-tex\">w_{\\lambda":[74,150,235],"}(x):=(1-x^2)^{\\lambda":[75],"-1/2}</mml:annotation>":[76],"</mml:semantics>":[77,111,152,197,237],"</mml:math>":[78,112,153,198,238],"</inline-formula>":[79,113,154,199,239],"and":[80],"alttext=\"upper":[85,164],"P":[86,263],"n":[88,167,265,277,313,332],"right-parenthesis\">":[92,131,173,216],"<mml:msubsup>":[94,175,350,377],"<mml:mi>P</mml:mi>":[95,378],"<mml:mi>n</mml:mi>":[96,179,379],"</mml:msubsup>":[107,193,362],"encoding=\"application/x-tex\">P_n^{(\\lambda":[109],")}</mml:annotation>":[110,196],"be":[114],"the":[115,200],"ultraspherical":[116],"polynomials":[117,202],"with":[118,203],"respect":[119,204],"to":[120,205],"}(x)</mml:annotation>":[151,236],".":[155],"Then":[156],"we":[157],"denote":[158],"by":[159],"E":[165,275],"plus":[168,278,314,333],"<mml:mi>E</mml:mi>":[176],"<mml:mo>+</mml:mo>":[180],"encoding=\"application/x-tex\">E_{n+1}^{(\\lambda":[195],"Stieltjes":[201],"satisfying":[240],"<disp-formula":[241],"alttext=\"StartLayout":[245],"1st":[246,296,298,319],"Row":[247,297,318],"integral":[248],"negative":[250],"w":[255],"upper":[262,274],"m":[290,306,311,327,330],"d":[291],"StartLayout":[293],"Enlarged":[294],"left-brace":[295],"Column":[299,304,320,325],"0":[301,309,322],"comma":[302,316,323],"2nd":[303,317,324],"a":[305,326],"p":[307,328],"semicolon":[308,329],"less-than-or-equal-to":[310],"greater-than":[312],"not-equals":[321],"period":[335],"EndLayout":[336],"EndLayout\">":[337],"<mml:mtable":[339],"columnalign=\"right":[340],"center":[341],"left\"":[342],"rowspacing=\"3pt\"":[343],"columnspacing=\"0":[344],"thickmathspace\"":[345],"side=\"left\"":[346],"displaystyle=\"true\">":[347],"<mml:mtr>":[348],"<mml:mtd>":[349],"\u222b":[352]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}