{"id":"W1576061383","doi":"10.1007/s11854-016-0014-z","title":"Weighted fractional Bernstein’s inequalities and their applications","year":2016,"lang":"en","type":"article","venue":"Journal d Analyse Mathématique","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Sobolev space; Sobolev inequality; Degree (music); Laplace operator; Mathematical analysis; Physics","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":[0.0009524917,0.0002184675,0.0004196585,0.0003690538,0.0003237558,0.0001184765,0.0002614581,0.0001081508,0.0008423349],"category_scores_gemma":[0.0003770398,0.0001195801,0.0002025238,0.0003175876,0.0001279716,0.0004585067,0.0001008771,0.0003812005,0.00006710483],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001957533,"about_ca_system_score_gemma":0.0001346975,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007863581,"about_ca_topic_score_gemma":0.00002532338,"domain_scores_codex":[0.9981111,0.0002434615,0.0006594147,0.0002433398,0.0004162652,0.0003264389],"domain_scores_gemma":[0.9972874,0.001322587,0.0004153083,0.000346044,0.0003822672,0.000246379],"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":[0.0001125988,0.0005887394,0.007202211,0.0002669666,0.002395056,0.00006837506,0.003012288,0.00001209642,0.03027388,0.8607726,0.009748453,0.0855468],"study_design_scores_gemma":[0.0005305028,0.00003704326,0.0005350538,0.0001076774,0.0000863622,0.0003446774,0.001095627,0.0009692945,0.001925541,0.9810184,0.01309043,0.0002594386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07869749,0.0003544987,0.9152453,0.003405223,0.00002511969,0.0001913597,0.0000303312,0.00007393325,0.001976752],"genre_scores_gemma":[0.968828,0.00109008,0.02536025,0.0001434439,0.0004115604,0.0001003436,0.000004573322,0.0000506993,0.004011008],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8901306,"threshold_uncertainty_score":0.9222977,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04892805723225626,"score_gpt":0.3537402705627642,"score_spread":0.304812213330508,"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."}}