March 3, 2026Journal of Inequalities and Applications0 citationsOpen Access

Pointwise approximation by a Stancu variant of Durrmeyer-Schurer operators

Key Points

Direct and converse results of approximation are found using the proposed operators, suggesting a new method for improving mathematical accuracy.
The operators introduced are characterized by non-negative real parameters, specifically α and β, which influence the approximation quality.
Graphs and numerical examples illustrate practical applications and validate the effectiveness of the new operators in approximation tasks.
This work significantly enriches the field of linear positive operators, providing practical tools for numerical approximations.

Abstract

In the present paper, we introduce a kind of Stancu variant of Durrmeyer-Schurer operators which includes non-negative real parameters α and β, and obtain the direct and converse results of approximation by the operators. Finally, we provide some graphs and number examples in order to illustrate the significance of our newly constructed operators. This work enriches linear positive operators and offers a practical tool for numerical approximation.

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