Abstract
The main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.
Highlights
Introduction and backgroundLet Km = {i ≤ m : i ∈ K ⊆ N}
We study a Korovkin type theorem for the Kantorovich type generalization of Szász operators involving Sheffer polynomials via power series method
The multiple Sheffer polynomials {Sk1,k2 (x)}∞ k1,k2=0 are defined as follows
Summary
A sequence ζ = (ζj) is said to be T-statistically convergent (see [10]) to the number s if, for any > 0, limi j:|ηj–s|≥ dij = 0, and denote stT – lim η = s. We study a Korovkin type theorem for the Kantorovich type generalization of Szász operators involving Sheffer polynomials via power series method. The multiple Sheffer polynomials {Sk1,k2 (x)}∞ k1,k2=0 are defined as follows. In [1], one defined the positive linear operators involving multiple Sheffer polynomials for x ∈ [0, ∞) as follows: Gn(f
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