1 Ocak 2012 Dergi makalesi Açık Erişim

Budakci, Gulter; Oruc, Halil

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  <dc:creator>Budakci, Gulter</dc:creator>
  <dc:creator>Oruc, Halil</dc:creator>
  <dc:date>2012-01-01</dc:date>
  <dc:description>We consider a special knot sequence u(i+1) = qu(i) + 1 and define a one parameter family of Bernstein-Schoenberg operators. We prove that this operator converges to f uniformly for all f in C[0, 1]. This operator also inherits the geometric properties of the classical Bernstein-Schoenberg operator. Moreover we show that the error function E-m,E-n has a particular symmetry property, that is E-m,E-n(f; x; q) = E-m,E-n(f; 1 - x, 1/q) provided that f is symmetric on [0, 1]. (C) 2012 Elsevier Ltd. All rights reserved.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/86323</dc:identifier>
  <dc:identifier>oai:zenodo.org:86323</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>MATHEMATICAL AND COMPUTER MODELLING 56(3-4) 56-59</dc:source>
  <dc:title>Bernstein-Schoenberg operator with knots at the q-integers</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
</oai_dc:dc>