Recently, Gupta, L?pez-Pellicer, and Srivastava [5] studied the convergence of approximation operators of exponential type connected to the function x3/2. In the present article, we consider a new operator obtained… Click to show full abstract
Recently, Gupta, L?pez-Pellicer, and Srivastava [5] studied the convergence of approximation operators of exponential type connected to the function x3/2. In the present article, we consider a new operator obtained by the composition of two exponential type integral operators connected to x2 and x3. The new operator is based on the modified Bessel function of the second kind. We obtain the moments, present an estimate for the rate of convergence and establish the complete asymptotic expansion of the new operator.
Journal Title: Filomat
Year Published: 2024
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