SOME APPROXIMATION PROPERTIES OF q-DURRMEYER-SCHURER OPERATORS

  • CARMEN VIOLETA MURARU
    “Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics, Informatics and Educational Sciences, Calea Mărăşeşti 157, Bacău 600115, Romania
    carmen7419@yahoo.com
  • ANA MARIA ACU
    "Lucian Blaga" University of Sibiu, Department of Mathematics and Informatics, 5 - 7 Dr. Ion Ratiu Street, Sibiu, 550012, Romania
    acuana77@yahoo.com

Abstract

In recent years, there are many preoccupations in construction and study of generalized version in q-calculus of well-known linear and positive operators. In [5] is introduced a q-type of Schurer -Bernstein operators. We will propose a Durrmeyer variant of q-Schurer operators of the form studied in [5]. Also, a Bohman-Korovkin type approximation theorem of these operators is considered. The rate of convergence by us-ing the first modulus of smoothness is computed.

Cuvinte cheie

q-Durrmeyer-Schurer operators rate of convergence Korovkin theorem modulus of continuity.