On Some Integral Means

2018/09/02 by Fariba Khoshnasib-Zeinabad, Khoshnasib-Zeinabad, Fariba, Mohammadhossein Mehrabi +1
Mathematics · #26D15 #26E60 #FOS: Computer and information sciences #Functional Equations Stability Results #Iterative Methods for Nonlinear Equations #Mathematical Inequalities and Applications #Other Statistics (stat.OT)

paper · pdf · doi:10.48550/arxiv.1809.00377

openalex publication_date 2018/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Harmonic, Geometric, Arithmetic, Heronian and Contraharmonic means have been studied by many mathematicians. In 2003, H. Evens studied these means from geometrical point of view and established some of the inequalities between them in using a circle and its radius. In 1961, E. Beckenback and R. Bellman introduced several inequalities corresponding to means. In this paper, we will introduce the concept of mean functions and integral means and give bounds on some of these mean functions and integral means.

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