{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T09:11:03Z","timestamp":1769764263835,"version":"3.49.0"},"reference-count":22,"publisher":"Informa UK Limited","issue":"6","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["The American Mathematical Monthly"],"published-print":{"date-parts":[[2020,7,2]]},"DOI":"10.1080\/00029890.2020.1736470","type":"journal-article","created":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T11:55:44Z","timestamp":1590062144000},"page":"483-503","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":5,"title":["The Bounded Convergence Theorem"],"prefix":"10.1080","volume":"127","author":[{"given":"Brian S.","family":"Thomson","sequence":"first","affiliation":[{"name":"Mathematics Department, Simon Fraser University","place":["Burnaby, Canada"]}]}],"member":"301","published-online":{"date-parts":[[2020,5,21]]},"reference":[{"issue":"4","key":"e_1_3_1_2_1","first-page":"532","article-title":"Sulla integrazione per serie","volume":"1","author":"Arzel\u00e0 C.","year":"1885","unstructured":"Arzel\u00e0, C. (1885). Sulla integrazione per serie. Atti Acc. Lincei Rend. 1(4): 532\u2013537 and 596\u2013599.","journal-title":"Atti Acc. Lincei Rend."},{"issue":"6","key":"e_1_3_1_3_1","first-page":"159","article-title":"Le calcul des int\u00e9grales d\u00e9finies","volume":"8","author":"Borel E.","year":"1912","unstructured":"Borel, E. (1912). Le calcul des int\u00e9grales d\u00e9finies. J. Math. Pures Appl. 8(6): 159\u2013210.","journal-title":"J. Math. Pures Appl"},{"issue":"7","key":"e_1_3_1_4_1","first-page":"347","article-title":"Arzel\u00e0\u2019s dominated convergence theorem for the Riemann integral","volume":"10","author":"Bullen P. S.","year":"1996","unstructured":"Bullen, P. S., V\u00fdborn\u00fd, R. (1996). Arzel\u00e0\u2019s dominated convergence theorem for the Riemann integral. Boll. Un. Mat. Ital. A (7). 10(2): 347\u2013353.","journal-title":"Boll. Un. Mat. Ital. A"},{"key":"e_1_3_1_5_1","doi-asserted-by":"publisher","DOI":"10.4169\/000298910x523407"},{"key":"e_1_3_1_6_1","unstructured":"Dini U. (1878). Fondamenti per la teorica delle funzioni di variabili reali. Pisa: Tipografia T. Nistri e Co."},{"key":"e_1_3_1_7_1","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1974.11993506"},{"key":"e_1_3_1_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160100304"},{"key":"e_1_3_1_9_1","first-page":"244","article-title":"Sur les suites des fonctions m\u00e9surables","volume":"152","author":"Egorov D. F.","year":"1911","unstructured":"Egorov, D. F. (1911). Sur les suites des fonctions m\u00e9surables. C. R. Hebd. S\u00e9ances Acad. Sci. 152: 244\u2013246.","journal-title":"C. R. Hebd. S\u00e9ances Acad. Sci"},{"key":"e_1_3_1_10_1","doi-asserted-by":"publisher","DOI":"10.2307\/2307435"},{"key":"e_1_3_1_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1970.11992452"},{"key":"e_1_3_1_12_1","doi-asserted-by":"publisher","DOI":"10.4169\/000298909X476998"},{"key":"e_1_3_1_13_1","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1986.11971838"},{"key":"e_1_3_1_14_1","doi-asserted-by":"publisher","DOI":"10.2307\/2317801"},{"key":"e_1_3_1_15_1","doi-asserted-by":"publisher","DOI":"10.2307\/2369589"},{"key":"e_1_3_1_16_1","volume-title":"Classical and Modern Integration Theories","author":"Pesin I. N.","year":"1970","unstructured":"Pesin, I. N. (1970). Classical and Modern Integration Theories. (Kotz, S., trans.) New York: Academic Press."},{"key":"e_1_3_1_17_1","volume-title":"Real and Complex Analysis","author":"Rudin W.","year":"1987","unstructured":"Rudin, W. (1987). Real and Complex Analysis, 3rd ed. New York: McGraw-Hill.","edition":"3"},{"key":"e_1_3_1_18_1","volume-title":"Theory of the Integral, 2nd rev","author":"Saks S.","year":"1964","unstructured":"Saks, S. (1964). Theory of the Integral, 2nd rev. ed. New York: Dover."},{"issue":"5","key":"e_1_3_1_19_1","first-page":"1","article-title":"Sulle successioni di funzioni ortogonali","volume":"3","author":"Severini C.","year":"1910","unstructured":"Severini, C. (1910). Sulle successioni di funzioni ortogonali. Atti Accad. Gioenia. 3(5): 1\u20137.","journal-title":"Atti Accad. Gioenia"},{"key":"e_1_3_1_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF03024373"},{"key":"e_1_3_1_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02409916"},{"key":"e_1_3_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF03013514"},{"key":"e_1_3_1_23_1","first-page":"333","article-title":"Sui Principii del Calcolo Integrale","volume":"19","author":"Volterra V.","year":"1881","unstructured":"Volterra, V. (1881). Sui Principii del Calcolo Integrale. Giornale Mat. Battagl. 19: 333\u2013372.","journal-title":"Giornale Mat. Battagl"}],"container-title":["The American Mathematical Monthly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00029890.2020.1736470","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T17:48:50Z","timestamp":1769708930000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00029890.2020.1736470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,21]]},"references-count":22,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2020,7,2]]}},"alternative-id":["10.1080\/00029890.2020.1736470"],"URL":"https:\/\/doi.org\/10.1080\/00029890.2020.1736470","relation":{},"ISSN":["0002-9890","1930-0972"],"issn-type":[{"value":"0002-9890","type":"print"},{"value":"1930-0972","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,5,21]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uamm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uamm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2019-01-21","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-11-01","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-11-01","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-05-21","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}