# On Landau-type approximation operators

## 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

## Keywords

Landau operator; modulus of continuity; weighted space; approximation process; upper estimates; quantitative Voronovskaya-type theorems

soon

## 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

##### Journal

Mediterranean Journal of Mathematics

Springer

1660-5446

1660-5454