{"id":"W1489506653","doi":"10.1090/s0002-9939-06-08533-9","title":"Nikolskii-type inequalities for shift invariant function spaces","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Combinatorics; Invariant (physics); Dimension (graph theory); Mathematics; Type (biology); Physics; Mathematical 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002797885,0.001297393,0.0009181166,0.002989534,0.001724723,0.003477643,0.001823806,0.00132913,0.02151913],"category_scores_gemma":[0.007003729,0.0004245561,0.001531074,0.001913593,0.002438904,0.006707259,0.002949254,0.004944055,0.003317771],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004716753,"about_ca_system_score_gemma":0.00151734,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003631524,"about_ca_topic_score_gemma":0.004491108,"domain_scores_codex":[0.9985437,0.000343295,0.00008264759,0.0002602189,0.0004750003,0.0002952639],"domain_scores_gemma":[0.9972556,0.001500129,0.0001918601,0.000219321,0.0006150616,0.0002179881],"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":[0.00001404537,0.000007608644,0.0001126656,0.0000443619,0.000006656426,0.00002436745,0.00007151878,0.0006341856,0.0002949923,0.9919132,0.002279815,0.004596638],"study_design_scores_gemma":[0.000008314,0.00001197891,0.0003446618,0.00002910382,0.000009428178,0.00003965756,0.00006028491,0.01309791,0.0004376268,0.9785845,0.007362148,0.00001442449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.07742757,0.004946458,0.414553,0.007935722,0.001380062,0.00009765793,0.001780054,0.0003709409,0.4915085],"genre_scores_gemma":[0.753748,0.0058751,0.08491804,0.002512807,0.001422931,0.0004834129,0.002087777,0.0007474326,0.1482044],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02151913,"threshold_uncertainty_score":0.07198864,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0281169642045367,"score_gpt":0.2739493201436043,"score_spread":0.2458323559390677,"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."}}