{"id":"W4417272099","doi":"10.28924/2291-8639-23-2025-336","title":"Further Numerical Radius Inequalities of Operators","year":2025,"lang":"","type":"article","venue":"International Journal of Analysis and Applications","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Operator matrix; Operator (biology); RADIUS; Hilbert space; Diagonal; Polynomial; Block (permutation group theory); Separable space; Upper and lower bounds","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":[0.003858573,0.001618333,0.0007998777,0.001292374,0.00074218,0.001709893,0.001602647,0.001163355,0.007069647],"category_scores_gemma":[0.01824567,0.0004290336,0.0009650205,0.0007706837,0.003334819,0.005156924,0.003951948,0.003586616,0.001616383],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001283,"about_ca_system_score_gemma":0.0008018975,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001155957,"about_ca_topic_score_gemma":0.0007995927,"domain_scores_codex":[0.9970798,0.001240247,0.0001165313,0.0004941773,0.0008061478,0.0002631127],"domain_scores_gemma":[0.9906368,0.005527797,0.001014444,0.001206977,0.001053421,0.000560648],"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":[0.0001010805,0.0000294595,0.0004747626,0.0001629797,0.00002186966,0.00009136792,0.0002355469,0.04074434,0.0103982,0.9338439,0.001459291,0.01243703],"study_design_scores_gemma":[0.00001546174,0.00009870302,0.0004225307,0.0000614723,0.00001675742,0.0001155997,0.00007393086,0.557802,0.0069128,0.4285901,0.005840743,0.00004983285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02927929,0.001014548,0.9489586,0.0007559038,0.0001251688,0.00005079496,0.0001330424,0.0002405294,0.01944215],"genre_scores_gemma":[0.7120292,0.001785694,0.265379,0.0008289929,0.0005097603,0.0003340682,0.0003979617,0.0004528887,0.01828231],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007069647,"threshold_uncertainty_score":0.02365035,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02626879989276609,"score_gpt":0.3609191617771077,"score_spread":0.3346503618843416,"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."}}