{"id":"W4391127082","doi":"10.61091/um118-04","title":"Caputo Fractional Derivative Inequalities for Refined Modified ( h , m ) -Convex Functions","year":2024,"lang":"en","type":"article","venue":"Utilitas Mathematica","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Fractional calculus; Inequality; Regular polygon; Derivative (finance); Convex function; Applied mathematics; Pure mathematics; Mathematical analysis; Geometry","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":[0.003606604,0.001324359,0.0009491023,0.002253783,0.0007992054,0.00238185,0.001344856,0.001294416,0.0033523],"category_scores_gemma":[0.01059257,0.0003832258,0.001805367,0.001218369,0.003175654,0.004145356,0.001612816,0.003242186,0.0005442332],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002636602,"about_ca_system_score_gemma":0.001040562,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002891709,"about_ca_topic_score_gemma":0.00191029,"domain_scores_codex":[0.9985089,0.0004659946,0.00008426171,0.0002883959,0.0004696824,0.000182798],"domain_scores_gemma":[0.9962442,0.002137962,0.0003276005,0.0003465421,0.0008059325,0.0001378779],"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":[0.00008869974,0.00002442218,0.0006985377,0.000163703,0.00004513521,0.0002951199,0.0002174192,0.05866146,0.007759314,0.9063987,0.001865214,0.02378234],"study_design_scores_gemma":[0.00001529373,0.00006456474,0.001078454,0.00008973933,0.00003526366,0.0003042477,0.0001049041,0.5638316,0.005402008,0.4164664,0.01254679,0.0000607194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01916156,0.001280396,0.9625916,0.0006371142,0.0001994922,0.00003473399,0.0001505915,0.00005814752,0.01588634],"genre_scores_gemma":[0.7373559,0.00356165,0.2405203,0.000958468,0.0007031407,0.0001800891,0.0003359137,0.0002315985,0.01615308],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003606604,"threshold_uncertainty_score":0.01912993,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1687311786417684,"score_gpt":0.388585131436345,"score_spread":0.2198539527945766,"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."}}