Mathematics
Alok Kumar, Vandana Rai
Abstract
The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-LeviatanPǎltǎnea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modification of these operators to obtain better estimates.
Citation format
KUMAR, Alok; RAI, Vandana. APPROXIMATION BY STANCU TYPE JAKIMOVSKI-LEVIATAN-PALTANEA OPERATORS. TWMS Journal of Applied and Engineering Mathematics, 2019.