{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T15:17:36Z","timestamp":1649085456696},"reference-count":4,"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 consider families of general four-point quadrature formulae using a generalization of the Montgomery identity via Taylor\u2019s formula. The results are applied to obtain some sharp inequalities for functions whose derivatives belong to spaces. Generalizations of Simpson\u2019s 3\/8 formula and the Lobatto four-point formula with related inequalities are considered as special cases.<\/jats:p>","DOI":"10.1155\/2012\/343191","type":"journal-article","created":{"date-parts":[[2012,8,13]],"date-time":"2012-08-13T21:21:14Z","timestamp":1344892874000},"page":"1-12","source":"Crossref","is-referenced-by-count":0,"title":["Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity"],"prefix":"10.1155","volume":"2012","author":[{"given":"J.","family":"Pe\u010dari\u0107","sequence":"first","affiliation":[{"name":"Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia"}]},{"given":"M.","family":"Ribi\u010di\u0107 Penava","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek, Croatia"}]}],"member":"98","reference":[{"key":"4","series-title":"Mathematics and its Applications (East European Series)","volume":"53","year":"1991"},{"issue":"39","key":"5","first-page":"10","volume":"25","year":"1980","journal-title":"Buletinul Stiintific al Universitatii Politehnica din Timisoara. Seria Matematica-Fizica"},{"issue":"3","key":"1","doi-asserted-by":"crossref","first-page":"199","DOI":"10.5556\/j.tkjm.36.2005.112","volume":"36","year":"2005","journal-title":"Tamkang Journal of Mathematics"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1017\/S1446181109000315"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/343191.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/343191.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/343191.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,2]],"date-time":"2019-07-02T20:34:01Z","timestamp":1562099641000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/343191\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":4,"alternative-id":["343191","343191"],"URL":"https:\/\/doi.org\/10.1155\/2012\/343191","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}