Results 11 to 20 of about 18,205 (197)
Fuzzy Chebyshev type inequality
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Ouyang, Yao, Fang, Jinxuan, Wang, Lishe
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
On the local and global comparison of generalized Bajraktarevi\'c means [PDF]
Given two continuous functions $f,g:I\to\mathbb{R}$ such that $g$ is positive and $f/g$ is strictly monotone, a measurable space $(T,A)$, a measurable family of $d$-variable means $m: I^d\times T\to I$, and a probability measure $\mu$ on the measurable ...
Amr Zakaria +26 more
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Unified treatment of fractional integral inequalities via linear functionals [PDF]
In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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Chebyshev's Sum Inequality and the Zagreb Indices Inequality
In a recent article, Nadeem and Siddique used Chebyshev’s sum inequality to establish the Zagreb indices inequality M1/n ≤ M2/m for undirected graphs in the case where the degree sequence (di) and the degree-sum sequence (Si) are similarly ordered. We show that this is actually not a completely new result and we discuss several related results that ...
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Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
doaj +1 more source
On Chebyshev–Markov–Krein inequalities
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Pinkus, A., Quesada, J.M.
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Chebyshev Inequality in Function Spaces
This paper gives new variants, generalizations and abstractions of the well-known Chebyshev inequality for monotonic functions. For example, the following result was proved by reviewer's method: Let \(K\) be a positive continuous function on \(I^ 2\;(I=[0,a],a>0)\) and suppose \(f:I^ 2\to[0,\infty)\) is a continuous positive set function. a) If for all
Heinig, Hans P., Maligranda, Lech
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Generalized Integral Inequalities of Chebyshev Type
In this paper, we present a number of Chebyshev type inequalities involving generalized integral operators, essentially motivated by the earlier works and their applications in diverse research subjects.
Paulo M. Guzmán +2 more
doaj +1 more source
Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions
In this paper, the authors established several new inequalities of the Beesack–Wirtinger type for different kinds of differentiable convex functions. Furthermore, we generalized our results for functions that are n-times differentiable convex.
Artion Kashuri +3 more
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