{"id":"W4400821874","doi":"10.28924/2291-8639-22-2024-119","title":"Majorization in Analytic Functions Among Distinct Classes Defined by Modified Tremblay Fractional Operator","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Majorization; Mathematics; Fractional calculus; Operator (biology); Pure mathematics; Applied mathematics; Mathematical economics; Calculus (dental); Econometrics; Discrete mathematics; Medicine","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":[0.001045389,0.0006679097,0.0005794676,0.001925912,0.001062706,0.001892355,0.000730847,0.0006549123,0.002214209],"category_scores_gemma":[0.002840783,0.0002319667,0.001043011,0.0005357532,0.002675592,0.003163804,0.001297499,0.001242188,0.0002322748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001035134,"about_ca_system_score_gemma":0.0004663435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004622079,"about_ca_topic_score_gemma":0.0001806246,"domain_scores_codex":[0.9994485,0.0001146463,0.00002919009,0.0001226389,0.0001498165,0.0001352215],"domain_scores_gemma":[0.998607,0.0004403953,0.00030284,0.0001797837,0.0002385566,0.0002314369],"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":[0.00009195627,0.00002559978,0.001460888,0.00004556287,0.0000158164,0.0003005154,0.0005805212,0.003663666,0.01154858,0.971705,0.0005730921,0.009988921],"study_design_scores_gemma":[0.0000314415,0.0001263111,0.002820336,0.00002736802,0.00002573126,0.001101509,0.0004643185,0.1144025,0.007375791,0.8675933,0.005956146,0.00007526753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6211218,0.0008188608,0.3502175,0.0007543048,0.0001093469,0.00006891292,0.0001023346,0.0002284444,0.02657859],"genre_scores_gemma":[0.9811552,0.000268905,0.01585639,0.00007898409,0.0001208941,0.00005743629,0.00005568402,0.00006792451,0.002338534],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002214209,"threshold_uncertainty_score":0.007510483,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03274513644124778,"score_gpt":0.3733769980769607,"score_spread":0.3406318616357129,"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."}}