Abstract
In this paper we deal with Jain-Schurer operators. We give an estimate, related to the degree of approximation, via K-functional. Also, we present a Voronovskaja-type result. Moreover, we show that the Jain-Schurer operator preserves the properties of a modulus of continuity function. Finally, we study monotonicity of the sequence of the Jain-Schurer operators when the attached function is convex and non-decreasing.
Cited by
2 articles.
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1. Jain's operator: A new construction and applications in approximation theory;Mathematical Methods in the Applied Sciences;2023-05-04
2. On bivariate Jain operators;Mathematical Foundations of Computing;2021