{"id":"W4311161386","doi":"10.23952/jnva.7.2023.1.04","title":"Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus","year":2022,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Hermite polynomials; Hadamard transform; Mathematics; Calculus (dental); Pure mathematics; Algebra over a field; Inequality; Quantum; Mathematical analysis; Physics; Quantum mechanics; Medicine; Orthodontics","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":[0.003600914,0.0007807807,0.0008208546,0.001926346,0.0009157586,0.001719767,0.00155779,0.001248695,0.004778514],"category_scores_gemma":[0.006686077,0.0004143,0.001413164,0.001347299,0.0019999,0.005421482,0.001958205,0.004456683,0.0006782119],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001768717,"about_ca_system_score_gemma":0.0009846737,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001603708,"about_ca_topic_score_gemma":0.001606347,"domain_scores_codex":[0.9987739,0.0002919862,0.0001002323,0.000240554,0.0004606178,0.0001327144],"domain_scores_gemma":[0.997809,0.001058316,0.0002136097,0.0001657094,0.0005935653,0.000159794],"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":[0.00001757476,0.00001570696,0.000191496,0.0001016111,0.00001654609,0.0000833072,0.00009811271,0.004984582,0.002397777,0.9813434,0.001523125,0.00922688],"study_design_scores_gemma":[0.00001487093,0.00004659548,0.0006138986,0.00006674647,0.0000357854,0.0002195946,0.00007231786,0.1467774,0.002998247,0.8374249,0.01167456,0.00005507375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01294622,0.003648299,0.9598478,0.00151706,0.0005454496,0.00003942773,0.0002174135,0.00007938686,0.021159],"genre_scores_gemma":[0.524397,0.009303601,0.4303615,0.002459668,0.002938303,0.0002603733,0.0005240617,0.0003097188,0.02944574],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004778514,"threshold_uncertainty_score":0.01904368,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04950040214605226,"score_gpt":0.3332356703459552,"score_spread":0.2837352681999029,"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."}}