{"id":"W4233258680","doi":"10.23952/jano.1.2019.2.07","title":"Best approximation, optimal recovery, and Landau inequalities for derivatives of Hukuhara-type in function L-spaces","year":2019,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Type (biology); Mathematics; Function (biology); Inequality; Applied mathematics; Pure mathematics; Mathematical analysis; Biology","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004672989,0.00009757415,0.0003144459,0.0001296456,0.00003663961,0.00003168128,0.00004544624,0.00006311401,0.00002809707],"category_scores_gemma":[0.0001668084,0.00007790656,0.0000298411,0.0001465331,0.00005105936,0.0003085361,0.00001460103,0.00008171724,4.004278e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001567394,"about_ca_system_score_gemma":0.00002903948,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001169582,"about_ca_topic_score_gemma":2.144811e-7,"domain_scores_codex":[0.9991939,0.00003864439,0.000445653,0.000100881,0.0001320997,0.00008883481],"domain_scores_gemma":[0.9988553,0.0003586987,0.0005302582,0.0000551166,0.0001653168,0.00003531091],"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":[0.008572146,0.000613621,0.003594249,0.001799665,0.0002297147,0.000001163512,0.01256044,0.3554429,0.008843489,0.6001133,0.000203144,0.008026223],"study_design_scores_gemma":[0.007250077,0.004969196,0.0009679024,0.0007522242,0.0002399417,0.00004779877,0.02617341,0.326597,0.01245368,0.619197,0.0005807725,0.0007710518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.52882,0.00007751879,0.470275,0.0001284538,0.0000512381,0.0002569502,0.000003545358,0.000005772557,0.0003814957],"genre_scores_gemma":[0.8553646,0.0001211422,0.1443646,0.0000284095,0.0000390491,0.000006482419,0.00000815713,0.00001092452,0.00005663098],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3265446,"threshold_uncertainty_score":0.3176937,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.025284881621858,"score_gpt":0.2759672081700278,"score_spread":0.2506823265481699,"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."}}