On Some Singular Monotonic Functions Which Are Strictly Increasing

1943/05/01 by R. Salem · 39 citations
Mathematics · #Advanced Mathematical Theories #Function (biology) #Integral equation #Mathematical analysis #Mathematics #Mathematics and Applications #Monotonic function #Pure mathematics #Singular function #Singular integral #Singular solution

paper · doi:10.2307/1990210

published in Transactions of the American Mathematical Society 53(3), 427 (American Mathematical Society)

openalex publication_date 1943/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/03/11

Abstract

This is seen immediately by the formula (3) or geometrically.Proof that fix) is singular.We shall now prove that the function fix) is singular.

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