Introduces a new sequence of integral operators that approximates functions, highlighting their convergence properties.
In the present paper, we introduce a new sequence of integral operators with a certain parameter ? 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 the rate of con-vergence, the 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, in order to validate the ?ndings, we employ numerical illustrations and visual depictions.
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Kumar et al. (2025) studied this question.
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