{"id":"W2964306940","doi":"10.1090/proc/14775","title":"Nikolskii inequality for lacunary spherical polynomials","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Science Foundation","keywords":"Lacunary function; Mathematics; Inequality; Algebra over a field; Pure mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002326836,0.001187077,0.0008183924,0.0022285,0.001529047,0.003171348,0.001738408,0.001042889,0.02113867],"category_scores_gemma":[0.009513144,0.0003416172,0.001120368,0.001287851,0.003465875,0.004557136,0.003266797,0.003993611,0.005494923],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003303754,"about_ca_system_score_gemma":0.001746893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004912365,"about_ca_topic_score_gemma":0.003936118,"domain_scores_codex":[0.9986022,0.0002457685,0.00005540117,0.0002535035,0.0004428509,0.0004002853],"domain_scores_gemma":[0.9967226,0.001390181,0.0003376686,0.0002934189,0.0007906813,0.0004653551],"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":[0.00004292992,0.00001641599,0.0005113094,0.0001128752,0.00001097141,0.00008468625,0.0001957849,0.001244567,0.001273924,0.9846618,0.00364838,0.00819646],"study_design_scores_gemma":[0.00001842057,0.00004354308,0.001183453,0.00005568331,0.00001720815,0.0001713313,0.0001734719,0.02405231,0.001686282,0.96369,0.008876395,0.00003203976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.198524,0.003258279,0.2302347,0.009385221,0.001480233,0.0001043938,0.001054415,0.0008000442,0.5551587],"genre_scores_gemma":[0.8869265,0.002459421,0.02498317,0.001680402,0.0009005864,0.0001605171,0.0007743744,0.0004902865,0.08162474],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.02113867,"threshold_uncertainty_score":0.0707159,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03527374054631897,"score_gpt":0.3141025511258025,"score_spread":0.2788288105794836,"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."}}