For some classes of measurable locally bounded functions / on an interval /, the rate of pointwise convergence of the Bézier-Durrmeyer type modification of discrete Feller operators is estimated. In the main theorems the Chanturija modulus of variation is used.
We present some properties of real valued functions of bounded generalized variation of Riesz-Orlicz type including weight and characterize Lipschitzian superposition Nemytskii operators which map between spaces (in fact, Banach algebras) of these functions.
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