{"id":"W4308391682","doi":"10.28924/2291-8639-20-2022-60","title":"Better Uniform Approximation by New Bivariate Bernstein Operators","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Bivariate analysis; Mathematics; Bernstein polynomial; Operator theory; Type (biology); Pure mathematics; Applied mathematics; Mathematical analysis; Statistics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00455721,0.0007555482,0.000990006,0.001221053,0.0004077793,0.001588898,0.0008484356,0.0008161371,0.003290198],"category_scores_gemma":[0.01033831,0.0003228388,0.0007542098,0.0009717413,0.001276989,0.003488095,0.002364393,0.001761643,0.0005110506],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009047971,"about_ca_system_score_gemma":0.0007974074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001019933,"about_ca_topic_score_gemma":0.0006470048,"domain_scores_codex":[0.9983005,0.0005798421,0.00009314149,0.000269895,0.0005784806,0.0001780872],"domain_scores_gemma":[0.9967241,0.001478875,0.0003033704,0.0004672493,0.0007005024,0.0003259491],"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":[0.0003188677,0.00007862059,0.00133855,0.0002507057,0.00004475716,0.0001504707,0.0003224784,0.09230376,0.03141979,0.8227073,0.001660032,0.04940477],"study_design_scores_gemma":[0.00006011313,0.0001848726,0.0007382335,0.00005454989,0.00003171809,0.0003156478,0.0001375307,0.846563,0.0120701,0.132619,0.007137062,0.00008812621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04890577,0.0008346412,0.9457577,0.0001952909,0.0002477097,0.00002029357,0.00004981283,0.0001587545,0.00383],"genre_scores_gemma":[0.6418034,0.002488161,0.3453629,0.0003999851,0.0002991711,0.0001008747,0.0002096339,0.0002408321,0.009095144],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00455721,"threshold_uncertainty_score":0.02410108,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01628311012257363,"score_gpt":0.2983740073436832,"score_spread":0.2820908972211096,"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."}}