Karslı, Harun2021-06-232021-06-2320081598-7264https://hdl.handle.net/20.500.12491/4183https://www.scopus.com/inward/record.uri?eid=2-s2.0-58649089387&partnerID=40&md5=f005e691d26b5a53784017ccd0bbb50fIn the present paper we investigate the behavior of some Durrmeyer type operators Ln (f; x), defined as Ln (f; x) = ?01 f (t) Kn (x, t) dt, 0 ? x ? 1, where the kernel Kn (x, t) may have different values. We give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function f defined on the interval [0, 1]. Using analysis techniques instead of probability methods we obtain the rate of pointwise convergence of the operators in question. Here we note that this kind of study is different from the earlier studies on such type of operators and have not been investigated for Durrmeyer type operators.eninfo:eu-repo/semantics/closedAccessApproximationBounded VariationDurrmeyer OperatorsLebesgue PointRate Of ConvergenceArticle1121531612-s2.0-58649089387Q3