Positive Interpolation Operators with Exponential-Type Weights

الملخص EN

We consider positive operators on the real line ℝ with property of interpolation, and we show the weighted Lp-convergence of the operators.

We will construct an analogical operator of one which is studied by Knopfmacher (1986).

Furthermore, we treat the Shepard-type interpolatory operator (cf.

Xie et al.

(1998)).