A sharp bound for the Chebyshev functional

2016/08/05 by Mohammad W. Alomari, Alomari, Mohammad W.
Mathematics · #26D10 #26D15 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1608.01882

openalex publication_date 2016/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work a sharp bound of the Čebyšev functional for absolutely continuous functions f,g whose derivatives f'∈ L_∞[a,b] and g'∈ L₁[a,b] is obtained.

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