Convergence of \(\lambda\)-Bernstein - Kantorovich operators in the \(L_p\)- norm
DOI:
https://doi.org/10.33993/jnaat531-1374Keywords:
Bernstein-Kantorovich type operators, Peetre's \(K\)-functional, integral modulus of smoothnessAbstract
We show the convergence of \(\lambda\)-Bernstein - Kantorovich operators defined by Acu et al. [J. Ineq. Appl. 2018], for functions in \(L_p[0,1],\, p\geq 1\). We also determine the convergence rate via integral modulus of smoothness.
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