Approximation via Power Series Method in Two-Dimensional Weighted Spaces

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

“…Taş and Atlihan 35 investigated the Korovkin‐type theorem for the sequence of positive linear operators defined on $$$ C\left[a,b\right] $$$ by using power series method. For further studies in this direction, one can see previous studies 16,27,36,37 . Proceeding in a manner similar to the proof of Theorem 1 proved in Taş and Atlihan, 35 in the following result, we obtain a Korovkin‐type approximation theorem for the operators $$$ {\mathfrak{L}}_n $$$ using $$$ P $$$‐summability method.…”

“…For further studies in this direction, one can see previous studies. 16,27,36,37 Proceeding in a manner similar to the proof of Theorem 1 proved in Taş and Atlihan, 35 in the following result, we obtain a Korovkin-type approximation theorem for the operators 𝔏 n using P-summability method.…”

Modüler Uzaylar Üzerinde P-İstatistiksel A-Toplam Süreci Aracılığıyla Yaklaşım

“…There is a wide variety of Korovkin type results in the approximation (see e.g. [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]). Korovkin-type approximation first obtained by Bardaro and Mantellini [21] in the abstract setting of the modular spaces, a class of function spaces which includes weighted spaces, certain interpolation spaces, Orlicz and Musielak-Orlicz spaces, L p spaces.…”

A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices

“…r,s,κ,β via Power Series Method Korovkin type approximation theory by power series method have been studied in several function spaces by many researchers (see [44][45][46][47]). In this section, certain Korovkin type theorems for linear positive operators, and specifically for bivariate Bernstein-Kantorovich type operators on extended domain with reparametrized knots are proven by the power series method.…”