On pointwise approximation properties of certain nonlinear Bernstein operators

H. E. Altin

The present study is concerned with the nonlinear Bernstein type operators $NB_{n}f$, 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 $f$.

Tbilisi Mathematical Journal, Vol. 12(2) (2019), pp. 47-58