On Szasz-Mirakyan-Jain Operators preserving exponential functions
G. C. Greubel
TL;DR
This paper introduces a modified version of Szasz-Mirakyan-Jain operators that preserve exponential functions, providing new theoretical insights and approximation properties for these operators.
Contribution
It defines a Jain type modification of generalized Szasz-Mirakjan operators that preserve exponential functions, with derived moments, recurrence formulas, and approximation results.
Findings
Operators preserve exponential functions.
Established moments and recurrence formulas.
Proved approximation properties using Boham-Korovkin theorem.
Abstract
In the present article we define the Jain type modification of the generalized Szasz-Mirakjan operators that preserve constant and exponential mappings. Moments, recurrence formulas, and other identities are established for these operators. Approximation properties are also obtained with use of the Boham-Korovkin theorem.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical functions and polynomials · Mathematical Approximation and Integration