International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 20, Pages 1295-1303
doi:10.1155/S0161171203210103
Lp-inverse theorem for modified beta operators
Vijay Gupta1
, Prerna Maheshwari2
and V. K. Jain3
1School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, Azad Hind Fauj Marg, New Delhi 110045, India
2Department of Mathematics, Khandelwal College of Management Sciences and Technology, Bareilly 243122, India
3Department of Mathematics, Bareilly College, Bareilly 243001, India
Abstract
We obtain a converse theorem for the linear combinations of modified beta operators whose weight function is the Baskakov operators. To prove our inverse theorem, we use the technique of linear approximating method, namely, Steklov mean.