Asymptotic formula for $q$-Derivative of $q$-Durrmeyer Operators
Prashantkumar Patel, Vishnu Narayan Mishra, R. N. Mohapatra
TL;DR
This paper derives a Voronovskaja type asymptotic formula for the $q$-derivative of $q$-Durrmeyer and $q$-Durrmeyer-Stancu operators, advancing the theoretical understanding of their approximation properties.
Contribution
It introduces a new asymptotic formula for the $q$-derivative of these operators, extending existing approximation theory.
Findings
Established a Voronovskaja type asymptotic formula
Extended approximation results to $q$-Durrmeyer operators
Provided theoretical insights into $q$-derivative behavior
Abstract
In the manuscript, Voronovskaja type asymptotic formula for function having -derivative of -Durrmeyer operators and -Durrmeyer-Stancu operators are discussed.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical Approximation and Integration · Holomorphic and Operator Theory