Convergence of \(\lambda\)-Bernstein - Kantorovich operators in the \(L_p\)- norm

Purshottam N. Agrawal; Behar Baxhaku

doi:10.33993/jnaat531-1374

Authors

Purshottam N. Agrawal Indian Institute of Technology, Roorkee, India https://orcid.org/0000-0003-3029-6896
Behar Baxhaku University of Prishtina "Hasan Prishtina", Kosovo https://orcid.org/0000-0002-8990-1440

DOI:

https://doi.org/10.33993/jnaat531-1374

Keywords:

Bernstein-Kantorovich type operators, Peetre's \(K\)-functional, integral modulus of smoothness

Abstract views: 117

Abstract

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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References

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