{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:38:08Z","timestamp":1753886288341,"version":"3.41.2"},"reference-count":14,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,10,3]],"date-time":"2012-10-03T00:00:00Z","timestamp":1349222400000},"content-version":"vor","delay-in-days":276,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>The order of simultaneous approximation and Voronovskaja\u2010type results with quantitative estimate for complex <jats:italic>q<\/jats:italic>\u2010Kantorovich polynomials (<jats:italic>q<\/jats:italic> &gt; 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {<jats:italic>z<\/jats:italic> \u2208 <jats:italic>\u2102<\/jats:italic> : |<jats:italic>z<\/jats:italic>| &lt; <jats:italic>R<\/jats:italic>}, <jats:italic>R<\/jats:italic> &gt; <jats:italic>q<\/jats:italic>, the rate of approximation by the <jats:italic>q<\/jats:italic>\u2010Kantorovich operators (<jats:italic>q<\/jats:italic> &gt; 1) is of order <jats:italic>q<\/jats:italic><jats:sup>\u2212<jats:italic>n<\/jats:italic><\/jats:sup> versus 1\/<jats:italic>n<\/jats:italic> for the classical Kantorovich operators.<\/jats:p>","DOI":"10.1155\/2012\/454579","type":"journal-article","created":{"date-parts":[[2012,10,3]],"date-time":"2012-10-03T21:04:37Z","timestamp":1349298277000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Approximation Theorems for Generalized Complex Kantorovich\u2010Type Operators"],"prefix":"10.1155","volume":"2012","author":[{"given":"N. 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