Perturbed Bernstein-type operators
arXiv:1809.075116 citationsh-index: 24
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For researchers in approximation theory, this offers incremental improvements to known operators.
This paper introduces modifications of Bernstein-type operators and provides direct estimates using modulus of continuity, along with asymptotic formulas, improving upon previous results.
The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and second modulus of continuity are given. Also the asymptotic formulas for the new operators are proved.