Blending type approximation by complex Szász-Durrmeyer-Chlodowsky operators in compact disks

Year, pages: 2019, 1077 - 1088

In the present article, we deal with the overconvergence of the Szász-Durrmeyer-Chlo dowsky operators. Here we study the approximation properties e.g. upper estimates, Voronovskaja type result for these operators attached to analytic functions in compact disks. Also, we discuss the exact order in simultaneous approximation by these operators and its derivatives and the asymptotic result with quantitative upper estimate. In such a way, we put in evidence the overconvergence phenomenon for the Szász-Durrmeyer-Chlodowsky operators, namely the extensions of approximation properties with exact quantitative estimates and orders of these convergencies to sets in the complex plane that contain the interval $[0,∞)$.

Goyal, M., Agrawal, P. 2019. Blending type approximation by complex Szász-Durrmeyer-Chlodowsky operators in compact disks. In Mathematica Slovaca, vol. 69, no.5, pp. 1077-1088. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0291

Goyal, M., Agrawal, P. (2019). Blending type approximation by complex Szász-Durrmeyer-Chlodowsky operators in compact disks. Mathematica Slovaca, 69(5), 1077-1088. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0291

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava