On generalized picard integral operators
Özet
In the paper, we constructed a class of linear positive operators generalizing Picard integral operators which preserve the functions eµx and e2µx, µ > 0. We show that these operators are approximation processes in a suitable weighted spaces. The uniform weighted approximation order of constructed operators is given via exponential weighted modulus of smoothness.We also obtain their shape preserving properties considering exponential convexity. © Springer Nature Singapore Pte Ltd. 2018.