## On pointwise approximation properties of certain nonlinear Bernstein operators.(English)Zbl 1435.41017

Summary: The present study is concerned with the nonlinear Bernstein type operators $$NB_nf$$, acting on bounded functions, where the kernel function of the operators provide some convenient assumptions. Especially, some pointwise convergence results for these type operators are achieved at a generalized Lebesgue point of the function $$f$$.

### MSC:

 41A35 Approximation by operators (in particular, by integral operators) 41A25 Rate of convergence, degree of approximation
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### References:

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