@article { author = {Kajla, Arun}, title = {Approximation for a Summation-Integral Type Link Operators}, journal = {Khayyam Journal of Mathematics}, volume = {3}, number = {1}, pages = {44-60}, year = {2017}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2017.45322}, abstract = {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.}, keywords = {Global approximation,Rate of convergence,Modulus of continuity,bounded variation}, url = {https://www.kjm-math.org/article_45322.html}, eprint = {https://www.kjm-math.org/article_45322_725917aec0e6b1c459fe81fc2e4d7411.pdf} }