The rate of pointwise approximation of positive linear operators based on q-integer

Authors

  • Vijay Gupta School Appl. Sci., Netaji Subhas Inst. Technology, New Delhi, India
  • G. Nowak The Great Poland Univ. Soc. and Econ. in Sroda Wielkopolska, Poland

Abstract

This paper is concerned with positive linear operators based on a q-integer. The rate of covergence of these operators are established. For these operators, we give Voronovskaya-type theorems and apply them to q Bernstein polynomials and q-Stancu operators.

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Published

25.03.2011

Issue

Vol. 63 No. 3 (2011)

Section

Research articles

How to Cite

Gupta, Vijay, and G. Nowak. “The Rate of Pointwise Approximation of Positive Linear Operators Based on Q-Integer”. Ukrains’kyi Matematychnyi Zhurnal, vol. 63, no. 3, Mar. 2011, pp. 350-6, https://umj.imath.kiev.ua/index.php/umj/article/view/2721.