{"id":"W2082833212","doi":"10.1016/j.camwa.2004.10.041","title":"Some functional inequalities and inclusion relationships associated with certain families of integral operators","year":2005,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Inclusion (mineral); Pure mathematics; Regular polygon; Convex function; Inequality; Operator theory; Algebra over a field; Mathematical analysis; Sociology","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006166857,0.0002123897,0.000357016,0.000322024,0.0006864112,0.00002855853,0.0001753231,0.00009206746,0.00002574845],"category_scores_gemma":[0.0002373187,0.000152417,0.00004677548,0.0006891414,0.0002751547,0.0001948345,0.0003356584,0.0002172146,0.000007130668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008543523,"about_ca_system_score_gemma":0.00008337959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005804668,"about_ca_topic_score_gemma":0.00001890612,"domain_scores_codex":[0.9986362,0.00006700411,0.0004855463,0.0002361503,0.0003970879,0.0001780423],"domain_scores_gemma":[0.9971497,0.001790855,0.0003504183,0.000345743,0.0002687891,0.00009448583],"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":[0.00002991466,0.0004652653,0.001295014,0.000157319,0.0002101241,4.347861e-7,0.006230663,0.000762036,0.00001865792,0.9880003,0.0009007212,0.001929564],"study_design_scores_gemma":[0.002170113,0.000364939,0.001913651,0.0005330977,0.0004734754,0.00004487834,0.01076233,0.0459755,0.0003364641,0.9344243,0.002294881,0.0007064056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2110708,0.000171792,0.7863848,0.0004741116,0.00002073386,0.0005585846,0.00002416072,0.0001392499,0.001155848],"genre_scores_gemma":[0.8813328,0.00002966358,0.1172168,0.0001050667,0.0000988586,0.0001482795,0.00005095278,0.00003443965,0.0009831834],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.670262,"threshold_uncertainty_score":0.6215386,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03934606966912696,"score_gpt":0.2568228438170448,"score_spread":0.2174767741479179,"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."}}