{"id":"W4294307659","doi":"10.3390/math10173127","title":"Hermite-Hadamard-Type Integral Inequalities for Convex Functions and Their Applications","year":2022,"lang":"en","type":"article","venue":"Mathematics","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Hermite polynomials; Convex function; Logarithm; Hadamard transform; Pure mathematics; Digamma function; Type (biology); Inequality; Algebra over a field; Young's inequality; Function (biology); Regular polygon; Applied mathematics; Mathematical analysis; Kantorovich inequality; Linear inequality; Riemann zeta function; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007495303,0.0002694874,0.0004867429,0.0001035277,0.0008072818,0.00008337121,0.00031006,0.00006554039,0.0007221386],"category_scores_gemma":[0.0003482158,0.0002244452,0.0001497194,0.0003237032,0.0001336467,0.0000721764,0.0002640933,0.0002436467,0.00002102784],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007210433,"about_ca_system_score_gemma":0.00005789987,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008072289,"about_ca_topic_score_gemma":0.000007769233,"domain_scores_codex":[0.9983657,0.00006870478,0.0006834518,0.0003051308,0.000239249,0.0003377625],"domain_scores_gemma":[0.9963471,0.002472914,0.0002567716,0.0006352101,0.0001685787,0.000119375],"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":[0.000008467225,0.0003830474,0.000009425423,0.0006668937,0.00006542192,1.909828e-7,0.003187683,0.000004763098,0.0001912907,0.9834151,0.01109366,0.0009740672],"study_design_scores_gemma":[0.0003154741,0.0001154939,0.000001818303,0.00002172829,0.00007656106,0.00003032133,0.02920465,0.005338367,0.000177419,0.8566418,0.1077914,0.0002850291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06476864,0.0003533945,0.9060782,0.002289496,0.0002561955,0.004391366,0.001369237,0.0006901599,0.01980335],"genre_scores_gemma":[0.6866704,0.00004555666,0.2242068,0.001117906,0.0006127275,0.02029601,0.0004766008,0.0003420052,0.06623209],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6818714,"threshold_uncertainty_score":0.9152611,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1152870552478274,"score_gpt":0.334415521214141,"score_spread":0.2191284659663136,"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."}}