We introduce the notions of ideal relatively equal convergence and ideal relatively uniform convergence inconjunction with the difference operators of sequences of functions (I (ₑ, ₄ₐₔ₈ʲ) -convergence and I (ₑ, ₔʲ) -convergence, respectively, for short). Under some condition, we obtain an equavalence relation by means of aforesaid notions. The Korovkin-type result is obtained through our newly notion of I (ₑ, ₄ₐₔ₈ʲ) - convergence and construct an example by taking? -Bernstein operators to support this result. Moreover, we analyze the rate of I (ₑ, ₄ₐₔ₈ʲ) -convergence by utilizing the modulus of continuity.
Mohiuddine et al. (Wed,) studied this question.