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Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series

Carlo Bardaro, Loris Faina, Ilaria Mantellını

Mathematische Nachrichten · 2016 · 35 citations · 23 references

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Concepts

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

References

23

Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces

Carlo Bardaro, P. L. Butzer, R. L. Stens · Sampling Theory in Signal and Image Processing · 2007 · 179 citations

, , +7

Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators

Courtney May · Canadian Journal of Mathematics · 1976 · 145 citations · Full text

, , +11

Approximation of continuous and discontinuous functions by generalized sampling series

P. L. Butzer, Sigmar Ries, R. L. Stens · Journal of Approximation Theory · 1987 · 122 citations

, , +10

Linear Combinations of Bernstein Polynomials

P. L. Butzer · Canadian Journal of Mathematics · 1953 · 118 citations · Full text

, , +3

Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals

Carlo Bardaro, P. L. Butzer, R. L. Stens · IEEE Transactions on Information Theory · 2010 · 76 citations

, , +11