Abstract
In [10], for continuous functionsf from the domain of certain discrete operatorsLn the inequalities are proved concerning the modulus of continuity ofLnf. Here we present analogues of the results obtained for the Durrmeyer-type modification\(\tilde L_n \) ofLn. Moreover, we give the estimates of the rate of convergence of\(\tilde L_n f\) in Holder-type norms
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