Quantitative estimates for Jain-Kantorovich operators

Quantitative Global Estimates for Generalized Double Szasz-Mirakjan Operators

About the Bivariate Operators of Kantorovich Type

The aim of this paper is to study the convergence and approximation properties of the bivariate operators and GBS operators of Kantorovich type.

q−BERNSTEIN-SCHURER-KANTOROVICH TYPE OPERATORS

The aim of this paper is to present a Stancu type Kantorovich modification of q−BernsteinSchurer operators introduced by Muraru [22] and modified by Ren and Zeng [29]. Here, we obtain a convergence theorem by using the well known Bohman-Korovkin criterion and find the estimate of the rate of convergence by means of modulus of continuity and Lipschitz function for these operators. Also, we estab...

Approximation Theorems for Generalized Complex Kantorovich-Type Operators

The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials q > 0 attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ C : |z| < R}, R > q, the rate of approximation by the q-Kantorovich operators q > 1 is of order q−n versus 1/n for the classical K...

Some approximation results for generalized Kantorovich-type operators

*Correspondence: [email protected] 2Department of Mathematics, Faculty of Science, University Putra Malaysia (UPM), Serdang, Selangor Darul Ehsan 4300, Malaysia Full list of author information is available at the end of the article Abstract In this paper, we construct a new family of operators, prove some approximation results in A-statistical sense and establish some direct theorems f...