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2013 Positive Interpolation Operators with Exponential-Type Weights
Hee Sun Jung, Ryozi Sakai
J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/421328


We consider positive operators on the real line 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)).


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Hee Sun Jung. Ryozi Sakai. "Positive Interpolation Operators with Exponential-Type Weights." J. Appl. Math. 2013 1 - 10, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1285.41015
MathSciNet: MR3045401
Digital Object Identifier: 10.1155/2013/421328

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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