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Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series |
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| Authors: | Carlo Bardaro Loris Faina Ilaria Mantellini |
| Institution: | 1. +39 075 585 3823+39 075 585 5024;2. University of Perugia, Department of Mathematics and Computer Science, Perugia, Italy |
| Abstract: | We give for generalized Durrmeyer type series and their linear combinations quantitative Voronosvskaja formulae in terms of the classical Peetre K‐functional. Finally we apply the general theory to various kernels |
| Keywords: | Voronovskaja‐type formula moments generalized Durrmeyer sampling series K‐functionals splines 41A25 41A60 94A20 |