{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T21:10:01Z","timestamp":1723065001923},"reference-count":0,"publisher":"Wiley","issue":"65","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Hungarian National Foundation for Scientific Research","award":["T 046 192"],"award-info":[{"award-number":["T 046 192"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>After a brief summary of Tauberian conditions for\nordinary sequences of numbers, we consider summability of double\nsequences of real or complex numbers by weighted mean methods\nwhich are not necessarily products of related weighted mean\nmethods in one variable. Our goal is to obtain Tauberian\nconditions under which convergence of a double sequence follows\nfrom its summability, where convergence is understood in\nPringsheim\u2032s sense. In the case of double sequences of real numbers, \nwe present necessary and sufficient Tauberian conditions, which are so\u2010called\none\u2010sided conditions. Corollaries allow these Tauberian conditions\nto be replaced by Schmidt\u2010type slow decrease conditions.\nFor double sequences of complex numbers, we present necessary and\nsufficient so\u2010called two\u2010sided Tauberian conditions.\nIn particular, these conditions are satisfied if the summable\ndouble sequence is slowly oscillating.<\/jats:p>","DOI":"10.1155\/s0161171204403329","type":"journal-article","created":{"date-parts":[[2004,12,9]],"date-time":"2004-12-09T13:32:47Z","timestamp":1102599167000},"page":"3499-3511","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Summability of double sequences by weighted mean methods andTauberian conditions for convergence in Pringsheim\u2032s sense"],"prefix":"10.1155","volume":"2004","author":[{"given":"Ferenc","family":"M\u00f3ricz","sequence":"first","affiliation":[]},{"given":"U.","family":"Stadtm\u00fcller","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,12,9]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/902907.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204403329","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T20:54:49Z","timestamp":1723064089000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204403329"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"65","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204403329"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204403329","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2004-03-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-12-09","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}