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We introduce and study some basic properties of rough I_lambda-convergence of weight g, where g is a function statisying certain conditions, of a triple sequence of Bernstein Stancu Cheney and Sharma operators and also investigate certain properties of rough I_lambda-convergence of weight g.

The aim of this paper is to give main properties of the generating function of the Bernstein polynomials of triple sequence spaces. It was proved the recurrence relations and derivative formula for Bernstein polynomials of triple sequences. Further more, some new results are obtained by using this generating function of these polynomials.

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In this article, we give an overview of other commonly used basis for the triple sequence space of Bernstein polynomials, the Bernstein basis and put forward a matrix representation of Bernstein polynomials for the triple sequence space and its many useful properties.