{"id":"W4400979371","doi":"10.3390/fractalfract8080438","title":"An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions","year":2024,"lang":"en","type":"article","venue":"Fractal and Fractional","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Class (philosophy); Inequality; Mathematics; Pure mathematics; Applied mathematics; Calculus (dental); Algebra over a field; Mathematical economics; Computer science; Mathematical analysis; Artificial intelligence; Medicine","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":[0.002328543,0.001056076,0.0008327747,0.001246865,0.0005979021,0.001105895,0.0008934533,0.001071898,0.001249714],"category_scores_gemma":[0.002552628,0.0002260567,0.001410114,0.0007302806,0.001926189,0.002659073,0.001842042,0.002434603,0.0001195612],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001207033,"about_ca_system_score_gemma":0.0008248016,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007662154,"about_ca_topic_score_gemma":0.0006356939,"domain_scores_codex":[0.9992734,0.0001990391,0.00004866841,0.0001560035,0.0002120513,0.0001108853],"domain_scores_gemma":[0.9990488,0.000480435,0.0001473443,0.00007212489,0.0001637904,0.00008752936],"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":[0.0001124197,0.00006155554,0.0006436344,0.0002919193,0.00008731411,0.0005028856,0.0002619759,0.03942595,0.03130912,0.8988462,0.000805319,0.02765185],"study_design_scores_gemma":[0.00003447,0.0002279813,0.0007805664,0.0001174709,0.00008992162,0.0005798564,0.0001361812,0.5952704,0.0121771,0.3809327,0.009583177,0.00007024642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05271582,0.002654294,0.9274351,0.0007218205,0.0002966923,0.00004013819,0.00004551182,0.00004556007,0.01604502],"genre_scores_gemma":[0.8099043,0.003133989,0.1774387,0.0005474138,0.0005161583,0.0001126085,0.00005316944,0.00003778766,0.008255781],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002328543,"threshold_uncertainty_score":0.01231468,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05508541395512021,"score_gpt":0.3306858961327635,"score_spread":0.2756004821776433,"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."}}