On triple sequence space of Bernstein operator of rough I_λ- statistical convergence of weighted g(A)

Article type: Research Article

Authors: Bharathi, M. Jeyaram^a | Velmurugan, S.^a | Subramanian, N.^{b; *} | Srikanth, R.^c

Affiliations: [a] Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India | [b] Department of Mathematics, SASTRA University, Thanjavur, India | [c] Tata Realty-SASTRA-Ramanujan chair professor for Mathematics, Thanjavur, India

Correspondence: [*] Corresponding author. N. Subramanian, Department of Mathematics, SASTRA University, Thanjavur-613 401, India. E-mail: nsmaths@gmail.com.

Abstract: We introduce and study some basic properties of rough Iλ – statistical convergent of weight g (A), where g : N3→[0, ∞) is a function statisying g (m, n, k) → ∞ and g (m, n, k) ↛ 0 as m, n, k → 0 of triple sequence of Bernstein polynomials, where A represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight g (A) limits of a triple sequence of Bernstein polynomials.

Keywords: Triple sequences, rough convergence, closed and convex, cluster points and rough limit points, Bernstein polynomials, weight of g, I _λ-convergence

DOI: 10.3233/JIFS-171017

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 13-27, 2019