{"id":"W4252143342","doi":"10.28924/2291-8639-16-2018-763","title":"Generalized r-Convex Functions and Integral Inequalities","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"COMSATS Institute of Information Technology","keywords":"Mathematics; Convex function; Regular polygon; Convex analysis; Hadamard transform; Pure mathematics; Class (philosophy); Inequality; Function (biology); Hermite polynomials; Proper convex function; Mathematical analysis; Convex optimization; Geometry; 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":[0.001527183,0.00121001,0.001031233,0.001211438,0.0005180165,0.001628463,0.001145842,0.0008114525,0.002449709],"category_scores_gemma":[0.002878685,0.0002587837,0.001141655,0.001311113,0.001867945,0.003297576,0.001299286,0.002679099,0.0004042307],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0013771,"about_ca_system_score_gemma":0.0006358199,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001354576,"about_ca_topic_score_gemma":0.0007624766,"domain_scores_codex":[0.9988931,0.0003078941,0.00006025667,0.0002172589,0.0003748202,0.0001467187],"domain_scores_gemma":[0.9991323,0.0003399579,0.0001325208,0.0001080045,0.0002229651,0.00006415298],"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":[0.00004198391,0.00001812894,0.0003106469,0.0001809559,0.00004744062,0.0002229174,0.0001037513,0.02637148,0.004723701,0.9417301,0.001551534,0.02469736],"study_design_scores_gemma":[0.00001872896,0.00007501159,0.0007573016,0.00007211592,0.00003859587,0.0004599598,0.00012149,0.3098535,0.003854533,0.6691883,0.01550931,0.00005124511],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03776003,0.003969445,0.9301179,0.001038001,0.0002964798,0.00003503129,0.0001714299,0.0001210859,0.02649069],"genre_scores_gemma":[0.7429336,0.007317007,0.227737,0.001113382,0.001112294,0.0001580944,0.0004608355,0.0002018424,0.01896602],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002449709,"threshold_uncertainty_score":0.009991646,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05706814111526901,"score_gpt":0.3677605914555583,"score_spread":0.3106924503402893,"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."}}