{"id":"W4220877250","doi":"10.3390/fractalfract6040195","title":"Local Fractional Integral Hölder-Type Inequalities and Some Related Results","year":2022,"lang":"en","type":"article","venue":"Fractal and Fractional","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Type (biology); Inequality; Minkowski space; Minkowski inequality; Fractional calculus; Hölder's inequality; Mathematical analysis; Pure mathematics; Linear inequality; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000457924,0.0001789874,0.0002440385,0.00008903542,0.0006562139,0.00005528045,0.00009138561,0.00008777183,0.002047195],"category_scores_gemma":[0.0003321724,0.0001630992,0.00006240822,0.000157041,0.0001919805,0.0003030842,0.0001439746,0.000602584,0.00002704668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006974921,"about_ca_system_score_gemma":0.00006074667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001020614,"about_ca_topic_score_gemma":0.000007192187,"domain_scores_codex":[0.9984101,0.00009787751,0.0005135841,0.0003129819,0.0004423695,0.0002230901],"domain_scores_gemma":[0.9980472,0.001377759,0.0001996255,0.0001681206,0.00007820732,0.0001291106],"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":[0.0001554283,0.0002806554,0.00008612367,0.00005084193,0.00006176217,0.000005965248,0.0006322777,0.0000242812,0.0001680832,0.9793268,0.01787847,0.00132932],"study_design_scores_gemma":[0.0006742718,0.0001669847,0.001132069,0.00001634839,0.00003403274,0.0002388811,0.004446758,0.004290584,0.0000352727,0.8774635,0.1112388,0.0002625372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9528497,0.0006260186,0.01018606,0.01639706,0.0008612991,0.000588035,0.001032756,0.000344228,0.01711483],"genre_scores_gemma":[0.9888905,0.00003215824,0.001589435,0.0004737145,0.0001888044,0.00009447385,0.0002015284,0.00002368914,0.008505649],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1018634,"threshold_uncertainty_score":0.9988651,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0664026993302684,"score_gpt":0.3181499392710297,"score_spread":0.2517472399407613,"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."}}