Approximation properties of bivariate extension of q-Szasz-Mirakjan-Kantorovich operators


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Orkcu M.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-324
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: bivariate operators, weighted A-statistical approximation, Szasz-Mirakjan operators, Kantorovich-type operators, q-integers, STATISTICAL APPROXIMATION, SUMMABILITY, BASKAKOV, THEOREM
  • Gazi University Affiliated: Yes

Abstract

In the present paper, a bivariate generalization of the q-Szasz-Mirakjan-Kantorovich operators is constructed by -integral and these operators' weighted A-statistical approximation properties are established. Also, we estimate the rate of pointwise convergence of the proposed operators by modulus of continuity.