On a theorem of Nikol'skii

2025/09/19 by Aksoy, Asuman G., Peng, Qidi
#41A25 41A50 46B20 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2509.16344

Abstract

We present Bernstein lethargy theorem and examine the relationship between Bernstein lethargy theorem and reflexivity.

Citations

• Subspace Condition for Bernstein's Lethargy Theorem
• Bernstein's Lethargy Theorem in Frechet Spaces
• On Shapiro's lethargy theorem and some applications
• Approximation schemes satisfying Shapiro's Theorem

Related

• Bernstein Lethargy Theorem and Reflexivity
• Extensions of Bernstein's Lethargy Theorem
• On Bernstein-type theorems
• Bernstein's Lethargy Theorem in Frechet Spaces
• A Bernstein type inequality