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.
Authors
Octavian Agratini
Babeş-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Sorin G. Gal
University of Oradea, Romania
Academy of Romanian Scientists
Keywords
Landau operator; modulus of continuity; weighted space; approximation process; upper estimates; quantitative Voronovskaya-type theorems
requires subscription: https://doi.org/10.1007/s00009-021-01712-w
Cite this paper as:
O. Agratini, S.G. Gal, On Landau-type approximation operators, Mediterranean Journal of Mathematics, 18 (2021) art. no. 64, https://doi.org/10.1007/s00009-021-01712-w
About this paper
Journal
Mediterranean Journal of Mathematics
Publisher Name
Springer
Print ISSN
1660-5446
Online ISSN
1660-5454
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