{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T01:10:01Z","timestamp":1723079401816},"reference-count":0,"publisher":"Wiley","issue":"7","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\/"}],"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>We construct multivariate polynomials attached to a function <jats:italic>f<\/jats:italic> of <jats:italic>m<\/jats:italic> variables, <jats:italic>m<\/jats:italic> \u2265 2\n, which approximate <jats:italic>f<\/jats:italic> with Jackson\u2010type rate involving a multivariate Ditzian\u2010Totik \u2010modulus and preserve some natural kinds of multivariate monotonicity and convexity of function. The result extends the bivariate case in Gal (2002), but does not follow straight from it and requires a careful calculation.<\/jats:p>","DOI":"10.1155\/s0161171204306137","type":"journal-article","created":{"date-parts":[[2004,2,15]],"date-time":"2004-02-15T12:53:37Z","timestamp":1076849617000},"page":"325-333","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Shape\u2010preserving multivariate polynomial approximation in <i>C<\/i>[\u22121,1]<sup><i>m<\/i><\/sup>"],"prefix":"10.1155","volume":"2004","author":[{"given":"Ciprian S.","family":"Gal","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sorin G.","family":"Gal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,2,14]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/934927.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204306137","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T00:12:18Z","timestamp":1723075938000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204306137"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204306137"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204306137","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":"2003-06-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-02-14","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}