{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T13:21:39Z","timestamp":1773753699699,"version":"3.50.1"},"reference-count":23,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type inequalities are analogous to those of antieigenvalue and Kantorovich inequality. In the second section, we approximate several antieigenvalue-type quantities for arbitrary accretive operators. Each antieigenvalue-type quantity is approximated in terms of the same quantity for normal matrices. In particular, we show that for an arbitrary accretive operator, each antieigenvalue-type quantity is the limit of the same quantity for a sequence of finite-dimensional normal matrices.<\/jats:p>","DOI":"10.1155\/2012\/318214","type":"journal-article","created":{"date-parts":[[2012,12,22]],"date-time":"2012-12-22T16:04:28Z","timestamp":1356192268000},"page":"1-15","source":"Crossref","is-referenced-by-count":3,"title":["Approximations of Antieigenvalue and Antieigenvalue-Type Quantities"],"prefix":"10.1155","volume":"2012","author":[{"given":"Morteza","family":"Seddighin","sequence":"first","affiliation":[{"name":"Mathematics Department, Indiana University East, Richmond, IN 47374, USA"}]}],"member":"98","reference":[{"issue":"6","key":"12","first-page":"89","volume":"3","year":"1948","journal-title":"Uspekhi Matematicheskikh Nauk"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01110442"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1968-11974-3"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-8498-4"},{"key":"7"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(01)00315-9"},{"issue":"2","key":"5","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1111\/j.1751-5823.2006.tb00169.x","volume":"74","year":"2006","journal-title":"International Statistics Review"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/s001840000050"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1155\/S1025583402000103"},{"key":"15","year":"1999"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1142\/9789812779281"},{"key":"24","year":"1997"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/BF02771613"},{"key":"1","year":"2001"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1993.1329"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00295-0"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1155\/IJMMS.2005.1543"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1137\/0715039"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2008.05.007"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2009.11.001"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1155\/IJMMS.2005.815"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2008.04.061"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171203208334"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/318214.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/318214.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/318214.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T00:46:37Z","timestamp":1498005997000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/318214\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":23,"alternative-id":["318214","318214"],"URL":"https:\/\/doi.org\/10.1155\/2012\/318214","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}