Some Refinements of Ostrowski’s Inequality and an Extension to a 2-Inner Product Space

Minculete, Nicuşor

doi:10.3390/sym11050707

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2020

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“…An inequality, which is an improvement of the Cauchy-Schwarz inequality, is the Ostrowski inequality. In Reference [12], we find some refinements of Ostrowski's inequality and an extention to a 2-inner product space. The purpose of this paper is to study some identities in a 2-pre-Hilbert space and we prove new results related to several inequalities in a 2-pre-Hilbert space.…”

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confidence: 99%

Types of Statistical Indicators Characterized by 2-Pre-Hilbert Spaces

Minculete

2020

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In this article, we established new results related to a 2-pre-Hilbert space. Among these results we will mention the Cauchy-Schwarz inequality. We show several applications related to some statistical indicators as average, variance and standard deviation and correlation coefficient, using the standard 2-inner product and some of its properties. We also present a brief characterization of a linear regression model for the random variables in discrete case.

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confidence: 99%