Positive Interpolation Operators with Exponential‐Type Weights

Hee Sun Jung and Ryozi Sakai

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: 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)).

Date: 2013
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https://doi.org/10.1155/2013/421328

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:421328

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