IJPAM: Volume 44, No. 1 (2008)
NONLINEAR SUMMATION OPERATORS
Institute of Mathematics
Poznan University of Technology
ul. Piotrowo 3a, Poznan, 60-965, POLAND
Abstract.We investigate a class of nonlinear summation operators defined by a modification of some positive linear operators in polynomial weighted spaces. The operators and for -times defferentiable functions will be examined also.
We give direct approximation theorems for considered operators.
Received: January 26, 2008
AMS Subject Classification: 41A25, 41A36
Key Words and Phrases: linear operator, nonlinear operator, polynomial weighted space, degree of approximation
Source: International Journal of Pure and Applied Mathematics