{"id":"W1981794418","doi":"10.1007/bf02788082","title":"Remainder estimates for the approximation numbers of weighted Hardy operators acting onL 2","year":2001,"lang":"en","type":"article","venue":"Journal d Analyse Mathématique","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Remainder; Combinatorics; Hardy space; Pi; Arithmetic; Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002533228,0.0002552037,0.0006092628,0.0003182596,0.0005279087,0.0001762877,0.000525155,0.0001311801,0.0003484247],"category_scores_gemma":[0.002475861,0.0001605081,0.0004618143,0.0007769877,0.00009904386,0.0004566184,0.00007832448,0.000588328,0.00001130211],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002176744,"about_ca_system_score_gemma":0.0001867277,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002434603,"about_ca_topic_score_gemma":0.0000453956,"domain_scores_codex":[0.9973501,0.0002045286,0.00106135,0.0002383922,0.0006962293,0.0004494202],"domain_scores_gemma":[0.9954494,0.002255143,0.0009161761,0.0004719616,0.0007585517,0.0001488168],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.002813067,0.005129301,0.06372595,0.004982552,0.03316611,0.0006294479,0.05111268,0.04317212,0.08119922,0.5521653,0.05275819,0.1091461],"study_design_scores_gemma":[0.001773995,0.0001456264,0.0007537764,0.0004029087,0.001404623,0.0006127855,0.009668289,0.5604013,0.01585786,0.4063379,0.002046028,0.0005949215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1664302,0.0002614336,0.8301485,0.001357208,0.00006931563,0.0005400701,0.000006154494,0.00005108663,0.001135981],"genre_scores_gemma":[0.8323037,0.000373293,0.166234,0.00008161396,0.0002176817,0.00006385793,0.000008434796,0.00006953892,0.0006478424],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6658735,"threshold_uncertainty_score":0.6545331,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06624527996196071,"score_gpt":0.3884827670261647,"score_spread":0.322237487064204,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}