The present article deals with the general family of summation-integral type operators. Here, we propose the Durrmeyer variant of the generalized Lupaş operators considered by Abel and Ivan (General Math. 15 (1) (2007) 21-34) and study local approximation, Voronovskaja type formula, global approximation, Lipchitz type space and weighted approximation results. Also, we discuss the rate of convergence for absolutely continuous functions having a derivative equivalent with a function of bounded variation.
Kajla, A. (2017). Approximation for a Summation-Integral Type Link Operators. Khayyam Journal of Mathematics, 3(1), 44-60. doi: 10.22034/kjm.2017.45322
MLA
Arun Kajla. "Approximation for a Summation-Integral Type Link Operators". Khayyam Journal of Mathematics, 3, 1, 2017, 44-60. doi: 10.22034/kjm.2017.45322
HARVARD
Kajla, A. (2017). 'Approximation for a Summation-Integral Type Link Operators', Khayyam Journal of Mathematics, 3(1), pp. 44-60. doi: 10.22034/kjm.2017.45322
VANCOUVER
Kajla, A. Approximation for a Summation-Integral Type Link Operators. Khayyam Journal of Mathematics, 2017; 3(1): 44-60. doi: 10.22034/kjm.2017.45322