Abstract
We consider the n- th. operators of Baskakov-Durrmeyer type, which result from the classical Baskakov-type operators with weights pnk, if the values f(k/n) are replaced by the integral terms \((n - c)\int_{I} p_{nk} (t) f(t) dt \), where I denotes the corresponding interval which depends on the parameter c. For integrable functions the rate of weighted simultaneous approximation will be related to the Ditzian-Totik modulus of smoothness.
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