Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators

Some smoothness properties of the Lupaş-Kantorovich type operators based on Pólya distribution

“…Doǧru and Gupta [18] presented a bivariate generalization of the Meyer-König and Zeller operators based on q-integers and obtained the rate of convergence of these operators with the help of Korovkin theorem for the bivariate functions. Wafi and Khatoon [38] established some approximation properties for the bivariate extension of generalized Baskakov operators defined by Miheşan [31]. Mishra et al [32] introduced a bivariate generalization of the discrete q-Beta operators and obtained their statistical approximation properties.…”

Stancu-variant of generalized Baskakov operators

“…To prove the approximation properties of L α,β n,a , we need the following lemma [13] Lemma2.1 For a, x ≥ 0, n = 1, 2, ..., we have B a n (1; x) = 1, B a n (t;…”

“…where f ∈ C[0, ∞) and In the last decade, many papers were published for generalized Baskakov operators on order of approximation, Voronovskaya type theorem, Kantorovich form, and order of approximation for the derivative of the function( [13], [14]).…”

The Product of Two Functions Using Positive Linear Operators

“…a relation obtained in [36] for a particular kind of operators.…”