On triple sequence of Bernstein operator of weighted rough I_λ-convergence

Abstract

. We introduce and study some basic properties of rough I λ -convergence of weight g , where g : N 3 → [ 0 , ∞ ) is a function satisfying g ( m , n , k ) → ∞ and (cid:3) ( m , n , k ) (cid:3) g ( m , n , k ) (cid:4)→ 0 as m , n , k → ∞ , of triple sequence of Bernstein polynomials and also study the set of all rough I λ -convergence of weight g limits of a triple sequence of Bernstein polynomials and relation between analyticness and rough I λ -convergence of weight g of a triple sequences of Bernstein polynomials.