Abstract
In this paper, we define and study a general class of convolution operators based on Landau operators. A property of these new operators is that they reproduce the affine functions, a feature less commonly encountered by integral type operators. Approximation properties in different function spaces are obtained, including quantitative Voronovskaya-type results.
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Acknowledgements
We are thankful to the referees who, through a careful examination of the manuscript, have made improvements to it. Along with this, we are grateful to the Editor-in-Chief who suggested a direct and elegant proof of Theorem 3.3.
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Agratini, O., Gal, S.G. On Landau-Type Approximation Operators. Mediterr. J. Math. 18, 64 (2021). https://doi.org/10.1007/s00009-021-01712-w
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DOI: https://doi.org/10.1007/s00009-021-01712-w
Keywords
- Landau operator
- modulus of continuity
- weighted space
- approximation process
- upper estimates
- quantitative Voronovskaya-type theorems