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Bernstein-type Inequalities Preserved by Modified Smirnov Operator

2024/11/18 by Ishfaq Ahmad Wani, Wani, Ishfaq Ahmad, Abdul Liman +1
Computer Science · Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Complex Variables (math.CV) #FOS: Mathematics #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2411.11336

openalex publication_date 2024/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a modified version of Smirnov operator and obtain some Bernstein-type inequalities preserved by this operator. In particular, we prove some compact generalizations of the well-known inequalities of Bernstein, Erdös and Lax, Ankeny and Rivlin and others.

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