Positive Interpolation Operators with Exponential-Type Weights

[摘要] We consider positive operators on the real lineℝwith property of interpolation, and we show the weightedLp-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)).

[学科分类] 应用数学