Kajla, A. (2017). Direct estimates of certain Mihesan-Durrmeyer type operators. Advances in Operator Theory, 2(2), 162-178. doi: 10.22034/aot.1612-1079
Arun Kajla. "Direct estimates of certain Mihesan-Durrmeyer type operators". Advances in Operator Theory, 2, 2, 2017, 162-178. doi: 10.22034/aot.1612-1079
Kajla, A. (2017). 'Direct estimates of certain Mihesan-Durrmeyer type operators', Advances in Operator Theory, 2(2), pp. 162-178. doi: 10.22034/aot.1612-1079
Kajla, A. Direct estimates of certain Mihesan-Durrmeyer type operators. Advances in Operator Theory, 2017; 2(2): 162-178. doi: 10.22034/aot.1612-1079
Direct estimates of certain Mihesan-Durrmeyer type operators
In this note we consider a Durrmeyer type operator having the basis functions in summation and integration due to Mihe\c{s}an [Creative Math. Inf. 17 (2008), 466--472.] and P\v{a}lt\v{a}nea [Carpathian J. Math. 24 (2008), no. 3, 378--385.] that preserve the linear functions. We present a Voronovskaja type theorem, local approximation theorem by means of second order modulus of continuity and weighted approximation for these operators. In the last section of the paper, we obtain the rate of approximation for absolutely continuous functions having a derivative equivalent with a function of bounded variation.