Results 1 to 10 of about 18,144 (182)
On distances and metrics in discrete ordered sets [PDF]
Mathematica Bohemica, 2021 Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality and restrictions of the distance to finite chains may or may not coincide with the natural ...
Stephan Foldes, Sándor Radeleczki
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AIMS Mathematics, 2021 The main goal of this article is first to introduce a new generalization of the fractional integral operators with a certain modified Mittag-Leffler kernel and then investigate the Chebyshev inequality via this general family of fractional integral ...
Hari M. Srivastava +4 more
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Chebyshev-Steffensen Inequality Involving the Inner Product
Mathematics, 2022 In this paper, we prove the Chebyshev-Steffensen inequality involving the inner product on the real m-space. Some upper bounds for the weighted Chebyshev-Steffensen functional, as well as the Jensen-Steffensen functional involving the inner product under
Milica Klaričić Bakula +1 more
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New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators
Mathematics, 2021 In this study, new and general variants have been obtained on Chebyshev’s inequality, which is quite old in inequality theory but also a useful and effective type of inequality.
Ahmet Ocak Akdemir +3 more
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On outlier detection with the Chebyshev type inequalities
Журнал Белорусского государственного университета: Математика, информатика, 2020 This work considers algorithms of outlier detection based on the Chebyshev inequality. It compares these algorithms with such classical methods as Tukey’s boxplot, the N-sigma rule and its robust modifications based on MAD and FQ scale estimates.
Michael A. Chepulis +1 more
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Certain Results Comprising the Weighted Chebyshev Function Using Pathway Fractional Integrals
Mathematics, 2019 An analogous version of Chebyshev inequality, associated with the weighted function, has been established using the pathway fractional integral operators. The result is a generalization of the Chebyshev inequality in fractional integral operators.
Aditya Mani Mishra +3 more
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Chebyshev type inequalities for Hilbert space operators [PDF]
, 2014 We establish several operator extensions of the Chebyshev inequality. The main version deals with the Hadamard product of Hilbert space operators.
Mohammad Sal +2 more
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Inequalities for D−Synchronous Functions and Related Functionals
Revista Integración, 2020 We introduce in this paper the concept of quadruple D−synchronous functions which generalizes the concept of a pair of synchronous functions, we establish an inequality similar to Chebyshev inequality and we also provide some Cauchy-Bunyakovsky-Schwarz ...
Silvestru Sever Dragomir
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An Improved Density Peak Clustering Algorithm Based on Chebyshev Inequality and Differential Privacy
Applied Sciences, 2023 This study aims to improve the quality of the clustering results of the density peak clustering (DPC) algorithm and address the privacy protection problem in the clustering analysis process.
Hua Chen +5 more
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Multivariate Chebyshev Inequalities
The Annals of Mathematical Statistics, 1960 If $X$ is a random variable with $EX^2 = \sigma^2$, then by Chebyshev's inequality, \begin{equation*}\tag{1.1}P\{|X| \geqq \epsilon\} \leqq \sigma^2/\epsilon^2.\end{equation*} If in addition $EX = 0$, one obtains a corresponding one-sided inequality \begin{equation*}\tag{1.2}\quad P\{X \geqq \epsilon\} \leqq \sigma^2/ (\epsilon^2 + \sigma^2)\end ...
Marshall, Albert W., Olkin, Ingram
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