{"id":"W4408798906","doi":"10.28924/2291-8639-23-2025-68","title":"Hyers-Ulam Stability of Quartic Functional Equation in IFN-Spaces and 2-Banach Spaces by Classical Methods","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Banach space; Stability (learning theory); Quartic function; Pure mathematics; Interpolation space; Mathematical analysis; Functional analysis; Computer science","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":[0.001951976,0.0006050213,0.0005901311,0.0009279568,0.0006795048,0.001065843,0.0005762837,0.0007796146,0.002057411],"category_scores_gemma":[0.002805999,0.0001936026,0.001214492,0.000397448,0.001810414,0.002081901,0.001510226,0.001430282,0.0001996871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009215733,"about_ca_system_score_gemma":0.0005935931,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001321163,"about_ca_topic_score_gemma":0.0006869108,"domain_scores_codex":[0.9995421,0.0002015071,0.00002427083,0.00007122792,0.0001202875,0.00004056131],"domain_scores_gemma":[0.9993045,0.0003448881,0.00008803637,0.00004371045,0.0001650772,0.00005370389],"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":[0.00002802957,0.00001576283,0.0004418117,0.00007998692,0.00002915079,0.0001142215,0.000320381,0.02136094,0.004412921,0.9671113,0.0004546933,0.005630792],"study_design_scores_gemma":[0.00001041526,0.00005643343,0.0003896455,0.00003390812,0.00001438175,0.0001238634,0.0001226466,0.3816075,0.001147356,0.6144081,0.002063669,0.00002200711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.109767,0.001879768,0.8624206,0.001163726,0.0001759376,0.00006171905,0.00007452652,0.00005295245,0.02440379],"genre_scores_gemma":[0.8906808,0.001802343,0.09089588,0.0002311466,0.0003026314,0.0002136012,0.00007933898,0.00005713548,0.01573705],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002057411,"threshold_uncertainty_score":0.01032317,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04917668132421478,"score_gpt":0.3875551748220716,"score_spread":0.3383784934978569,"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."}}