A refinement of the companion of Ostrowski inequality for functions of bounded variation and applications

2012/07/17 by Wenjun Liu, Yun Sun, Liu, Wenjun +1 · 1 citation
Computer Science · Mathematics · #26D15 #41A55 #41A80 #65C50 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1207.3861

openalex publication_date 2012/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we establish a refinement of the companion of Ostrowski inequality for functions of bounded variation. Applications for the trapezoid inequality, the mid-point inequality, and to probability density functions are also given.

Citations

• Ostrowski type inequalities

Cited by

• Revisiting Ostrowski's Inequality

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