{"id":"W2003562344","doi":"10.1016/j.jat.2015.03.002","title":"Norm and smoothness of a function related to the coefficients of its expansion","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Smoothness; Norm (philosophy); Hausdorff space; Pure mathematics; Mathematical analysis","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":[0.003463603,0.0001037324,0.0003013919,0.0001878648,0.00003861068,0.00001686958,0.0001463771,0.00007671517,0.00006429178],"category_scores_gemma":[0.002459917,0.00006114072,0.00007681736,0.0003140366,0.00005902717,0.0002344501,0.00003443108,0.0001361985,0.000007284203],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003293316,"about_ca_system_score_gemma":0.00005813172,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.406152e-7,"about_ca_topic_score_gemma":5.451811e-7,"domain_scores_codex":[0.9981142,0.0002340454,0.0009570963,0.00008058087,0.0005287651,0.00008530216],"domain_scores_gemma":[0.9973795,0.0003963365,0.0009942404,0.0001728965,0.0009671954,0.00008983034],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000457491,0.000341451,0.0000176826,0.0003266704,0.00005415495,3.282252e-7,0.01043799,0.0001165464,0.003849759,0.9730061,0.001036153,0.01035562],"study_design_scores_gemma":[0.001254441,0.0006786373,0.0002186409,0.0004507436,0.0001280113,0.00004330333,0.007279739,0.01250861,0.02995554,0.9469387,0.0004253638,0.0001182783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6960234,0.0001002045,0.3005341,0.0003999291,0.0001826892,0.0003915964,0.000003467664,0.00001173941,0.002352867],"genre_scores_gemma":[0.9883105,0.000008593488,0.01128838,0.00005883956,0.00002827297,0.000006580799,0.000002038217,0.00001337416,0.0002834824],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2922871,"threshold_uncertainty_score":0.2944928,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04430698419694516,"score_gpt":0.3052002260577999,"score_spread":0.2608932418608547,"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."}}