Approximation results of modified Picard integral operators via regular summability methods

This paper focuses on applying summability methods to modified Picard integral operators and analyzing their approximation properties in exponential weighted spaces. We specifically examine Bell-type summability methods in the approximation process, noting that certain approximation results are preserved under summation. By utilizing an appropriate modulus of continuity, we determine the order of convergence of the operators, providing a deeper understanding of their behaviour in these spaces. Finally, the theoretical results are supported by numerical computation and graphical illustrations.