On a new family of generalized Bernstein operators
DOI:
https://doi.org/10.24193/subbmath.2022.3.12Keywords:
Bernstein-type operators, global smoothness preservation, second order modulus of continuityAbstract
In this paper we remark that $\alpha$-Bernstein operators, introduced by X. Y. Chen et al., are combinations of two known operators (Stancu and Bernstein operators) and we establish the preservation of global smoothness properties by these linear operators, the global smoothness being expressed by a Lipschitz condition with a certain second order modulus of continuity.Downloads
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2022-09-22
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