A Note on Jain modified Phillips operators
Vijay Gupta, G. C. Greubel
TL;DR
This paper introduces a modified version of Szász-Mirakjan operators based on Jain's Phillips approach, providing new theoretical insights and approximation properties for these operators.
Contribution
It defines Jain modified Phillips operators for Szász-Mirakjan, deriving moments, recurrence relations, and approximation results using Boham-Korovkin theorem.
Findings
Derived moments and recurrence formulas for the new operators
Established approximation properties using Boham-Korovkin theorem
Provided theoretical foundations for Jain modified Phillips operators
Abstract
In the present article we define the Phillips type modification of the generalized Sz\'asz-Mirakjan operators. 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 Approximation and Integration · Mathematical functions and polynomials