{"id":"W2077106035","doi":"10.1155/2014/797561","title":"A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality","year":2014,"lang":"en","type":"article","venue":"Abstract and Applied Analysis","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Specialized Research Fund for the Doctoral Program of Higher Education of China; Education Department of Shaanxi Province; China Postdoctoral Science Foundation; National Natural Science Foundation of China","keywords":"Mathematics; Inequality; Generalization; Fractal; Kantorovich inequality; Space (punctuation); Pure mathematics; Hölder's inequality; Rearrangement inequality; Minkowski inequality; Mathematical analysis; Fractional calculus; Log sum inequality; Linear inequality","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001052775,0.0003189048,0.0007246697,0.0002465051,0.0002575197,0.0001119674,0.0001957614,0.000164157,0.0006904486],"category_scores_gemma":[0.0002858473,0.0002598405,0.0002550725,0.0007101133,0.0001076678,0.00007086674,0.00005863952,0.0003587586,0.00011136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006139407,"about_ca_system_score_gemma":0.00001981693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002828329,"about_ca_topic_score_gemma":0.0002729263,"domain_scores_codex":[0.9978752,0.00006330821,0.0006629142,0.000535224,0.0004878953,0.000375525],"domain_scores_gemma":[0.9972796,0.00149373,0.0002492424,0.0005621692,0.00007989692,0.0003353552],"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":[0.00007920436,0.0005857645,0.0006882302,0.0001113384,0.0005817306,0.000001378389,0.0007809594,0.0003832628,0.0004477638,0.9876145,0.001697465,0.007028403],"study_design_scores_gemma":[0.001305311,0.0002844727,0.05828199,0.00007640081,0.002095453,0.000006478415,0.007103685,0.01378011,0.002995099,0.9058222,0.006611606,0.001637153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6510891,0.000003658337,0.3321949,0.001348686,0.00001800154,0.0002237701,0.00004932811,0.0001021811,0.01497047],"genre_scores_gemma":[0.9939696,0.000003115236,0.004659486,0.0008367731,0.0001441879,0.00009610294,0.00006540181,0.00002326396,0.0002020206],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3428806,"threshold_uncertainty_score":0.9999854,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05234810639057826,"score_gpt":0.3343149394546903,"score_spread":0.281966833064112,"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."}}