{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005968315,0.001390964,0.001073547,0.003450692,0.0006634899,0.002886509,0.001654879,0.002336279,0.002365669],"category_scores_gemma":[0.02632257,0.0004994536,0.0008192171,0.001404579,0.005546694,0.006381351,0.002476477,0.004491752,0.0005319313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009844332,"about_ca_system_score_gemma":0.0007315699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007202273,"about_ca_topic_score_gemma":0.0003905355,"domain_scores_codex":[0.9984838,0.0006685776,0.00007302833,0.0002537862,0.0003975447,0.0001231878],"domain_scores_gemma":[0.9808258,0.01146074,0.001699206,0.001388728,0.003148579,0.001476829],"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":[0.0003318341,0.0001268819,0.002261082,0.0002160872,0.00006035022,0.0001977191,0.0004047648,0.02335619,0.01666372,0.9377826,0.001423069,0.01717559],"study_design_scores_gemma":[0.00003339567,0.0001918205,0.003606195,0.00007487225,0.00006979999,0.000662302,0.0002602446,0.3288593,0.004666153,0.6572341,0.004239486,0.0001023215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3839801,0.002397806,0.5922968,0.002507801,0.000501988,0.00005780302,0.0003593765,0.000246189,0.01765199],"genre_scores_gemma":[0.8948479,0.002740006,0.0881373,0.0002883369,0.000867882,0.0001330133,0.000571582,0.0003900458,0.01202402],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005968315,"threshold_uncertainty_score":0.03156388,"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."}}