{"id":"W4380923665","doi":"10.1007/s10473-023-0404-0","title":"Banach Spaces and Inequalities Associated with New Generalization of Cesàro Matrix","year":2022,"lang":"en","type":"article","venue":"Acta Mathematica Scientia","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Toeplitz matrix; Matrix (chemical analysis); Pure mathematics; Norm (philosophy); Bounded function; Generalization; Domain (mathematical analysis); Banach space; Mathematical analysis","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":[0.001799251,0.0009174769,0.0008752004,0.002488863,0.0009716155,0.002248765,0.001357225,0.001259376,0.004569928],"category_scores_gemma":[0.00486074,0.0003023833,0.001256887,0.001511564,0.001879231,0.003269958,0.001621266,0.002574922,0.0004649211],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001262813,"about_ca_system_score_gemma":0.0008830816,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00135296,"about_ca_topic_score_gemma":0.001089644,"domain_scores_codex":[0.9989023,0.0003671225,0.00007049776,0.000238873,0.0002855203,0.0001356316],"domain_scores_gemma":[0.9970738,0.001104895,0.0005123968,0.0001683025,0.0007458953,0.0003947235],"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":[0.00003917741,0.00001997195,0.0002696976,0.000058864,0.00002159791,0.0001212996,0.0001323858,0.002376901,0.002992387,0.9902982,0.0009045045,0.002764938],"study_design_scores_gemma":[0.00001975792,0.00006345356,0.0007599929,0.00002832165,0.00002706771,0.0004505294,0.0001186569,0.08483703,0.001308764,0.9081646,0.004183142,0.00003872969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1932424,0.006429952,0.7344428,0.003089241,0.001409566,0.00007319045,0.0003830355,0.0001979167,0.06073189],"genre_scores_gemma":[0.8983634,0.002780394,0.07325448,0.0008161254,0.002045962,0.000132019,0.0003657315,0.0001109037,0.02213116],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004569928,"threshold_uncertainty_score":0.01528788,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04179374689683154,"score_gpt":0.2970754796052482,"score_spread":0.2552817327084166,"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."}}