Jain-Baskakov Operators and its Different Generalization

Results on bivariate Szasz-Mirakyan type operators in polynomial weight spaces

“…In [33], the authors extended the Jain operators into Kantorovich variant and also to study more approximation properties in another generalization form, Tarabie [31] studied the Durrmeyer type generalization of the Jain operators. This type of generalization can also be seen in papers [3,23,24]. Most of the papers are also cited in which regarding convergence properties are studied [4][5][6][7]14,17,19,20,32,[34][35][36].…”

Some approximation properties of a new class of linear operators

“…The relation between the local smoothness of function and local approximation, the degree of approximation, and the statistical convergence of the Jain operators were studied by Agratini . The Durrmeyer‐type generalizations of the Jain operators and its approximation properties were elaborated by Tarabie, Mishra and Patel, and Agratini . The generalized Jain operators as variant of the Lupaş operators were studied by Patel and Mishra .…”

αβ-statistical convergence of modified q-Durrmeyer operators

“…The concept of statistical convergence has been de…ned by Fast [2] and studied by many other authors. It is well known that every ordinary convergent sequence is statistically convergent but the converse is not true, examples and some related work can be found in [3,4,5,6,7]. The idea -statistical convergence was introduced by Akt¼ uglu in [8] as follows: Let (n) and (n) be two sequences positive numbers which satisfy the following conditions The concept of weighted -statistically convergence was developed by Karakaya and Karaisa [9].…”