Abstract
For bounded or some locally bounded functions f measurable on an interval I there is estimated the rate of convergence of the Durrmeyer-type operatorsL f at those points xεIntI at which the one-sided limits f(x±0) exist. In the main theorems the Chanturiya's modulus of variation is used.
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Aniol, G., Pych-Taberska, P. On the rate of pointwise convergence of the Durrmeyer-type operators. Approx. Theory & its Appl. 11, 94–105 (1995). https://doi.org/10.1007/BF02836282
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DOI: https://doi.org/10.1007/BF02836282