PARAMETRIC REPRESENTAION OF INTEGRAL OPERATORS FOR x > 0

Abstract

In the present paper, we introduce a new sequence of integral operators with a certain parameter α that can be used to approximate the functions over the interval (0, ∞) = R . Firstly, we obtain the moments for the proposed operators. Next, we estimate some direct results, which include rate of convergence, asymptotic formula and point-wise convergence in terms of modulus of continuity, weighted approximation for these operators is given, and some results related to the A−statistical convergence of the operators are obtained. Ultimately, to validate the findings, we employ numerical illustrations and visual depictions.