{"id":"W2918175311","doi":"10.3390/sym11030316","title":"Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ","year":2019,"lang":"en","type":"article","venue":"Symmetry","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":99,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Modulus of continuity; Type (biology); Smoothness; Bézier curve; Lipschitz continuity; Rate of convergence; Operator (biology); Bivariate analysis; Convergence (economics); Bernstein polynomial; Order (exchange); Mathematical analysis; Baskakov operator; Applied mathematics; Pure mathematics; Operator theory; Geometry; Computer science; Fourier integral operator; Microlocal 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":[0.0007737498,0.0005448411,0.0005625493,0.001602356,0.0005515242,0.0008489572,0.0007936592,0.0004825923,0.002854796],"category_scores_gemma":[0.001808885,0.0003156358,0.000658425,0.001007101,0.001033137,0.001487204,0.001217708,0.001412767,0.0005741973],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006972452,"about_ca_system_score_gemma":0.0008257137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001059994,"about_ca_topic_score_gemma":0.0008234866,"domain_scores_codex":[0.9995376,0.00008963034,0.00002200234,0.00007857267,0.0001904637,0.00008174535],"domain_scores_gemma":[0.9993856,0.0001172818,0.00008897623,0.00006904949,0.0002241389,0.0001149539],"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":[0.00007048339,0.00005727942,0.0006089532,0.00008099438,0.00001958439,0.0001425834,0.0001732238,0.02479113,0.0219751,0.9169706,0.0008441765,0.034266],"study_design_scores_gemma":[0.00004893925,0.0002568206,0.0007719131,0.00005175053,0.0000259205,0.0005502448,0.0002379704,0.5106896,0.02395461,0.4516201,0.01170987,0.00008229366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08635678,0.0002776272,0.9007909,0.0001174842,0.0001171387,0.00006712756,0.00007692228,0.0001711482,0.01202496],"genre_scores_gemma":[0.6638184,0.0009582624,0.3242907,0.0001490914,0.00007895647,0.0001526439,0.0001969492,0.0001216942,0.01023332],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002854796,"threshold_uncertainty_score":0.009550214,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02054955286441936,"score_gpt":0.2698166087152792,"score_spread":0.2492670558508599,"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."}}