On Some Summability Methods for aq-Analogue of an Integral Type Operator Based on Multivariateq-Lagrange Polynomials

Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator

“…Karakaya and Chishti 4 introduced the concept of weighted statistical convergence which was later modified by Mursaleen et al 5 Subsequently, by using these results, several researchers studied the statistical convergence for different sequences of positive linear operators; see, for instance, previous studies. [24][25][26][27][28][29] Srivastava et al 11 defined the notion of deferred weighted A-statistical convergence for linear positive operators (LPO) constructed by means of (p, q)-Lagrange polynomials. Following the proofs given in the papers, 13,21 in the following theorem, we obtain an analogous result for the deferred weighted A-statistical convergence of a sequence of positive linear operators.…”

“…Duman and Orhan 23 established a Korovkin‐type theorem via $$$ A $$$‐statistical convergence for functions in a weighted space. Karakaya and Chishti 4 introduced the concept of weighted statistical convergence which was later modified by Mursaleen et al 5 Subsequently, by using these results, several researchers studied the statistical convergence for different sequences of positive linear operators; see, for instance, previous studies 24–29 . Srivastava et al 11 defined the notion of deferred weighted $$$ A $$$‐statistical convergence for linear positive operators (LPO) constructed by means of $$$ \left(p,q\right) $$$‐Lagrange polynomials.…”

A q-Erkus- Srivastava Polynomials Operator

“…al. [2]. The purpose of this paper is to study various approximation properties of the operators (1.3) with respect to the statistical convergence and the power series method.…”