Original Article
Kyungpook Mathematical Journal 2006; 46(2): 185-188
Published online June 23, 2006
Copyright © Kyungpook Mathematical Journal.
Durrmyer Type Summation Integral Operators
Niraj Kumar
School of Applied Sciences, Netaji Subhas Institute of Technology Sector 3, Dwarka, New Delhi 110045, India
In the present paper, we give the applications of the optimum bound for Bernstein basis functions. It is noted that using the optimum bound the main results of Aniol and Taberska [Ann. Soc. Math. Pol. Seri, Commentat. Math., 30(1990), 9-17], [Approx. Theory and its Appl. 11:2(1995), 94-105] and V. Gupta [Soochow J. Math., 23(1)(1997) 115-118] can be improved which were not pointed out earlier.
Keywords: Durrmeyer operators, Bernstein polynomials, rate of convergence, Bernstein basis function