Results 21 to 30 of about 12,151 (308)
Some inequalities for operator monotone functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
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Monotone Submodular Maximization over a Matroid via Non-Oblivious Local Search [PDF]
, 2013 We present an optimal, combinatorial 1−1/e approximation algorithm for monotone submodular optimization over a matroid constraint. Compared to the continuous greedy algorithm (Calinescu, Chekuri, Pál and Vondrák, 2008), our algorithm is extremely simple ...
Filmus, Yuval +3 more
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Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions.
Bayaz Daraby, Zahra Vaezi
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Estimating the distance to a monotone function [PDF]
Random Structures & Algorithms, 2004 AbstractIn standard property testing, the task is to distinguish between objects that have a property 𝒫 and those that are ε‐far from 𝒫, for some ε > 0. In this setting, it is perfectly acceptable for the tester to provide a negative answer for every input object that does not satisfy 𝒫.
Nir Ailon +3 more
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Hardy-Littlewood theorem for series with general monotone coefficients
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq .
S. Bitimkhan
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Alexandria Engineering Journal, 2022 The log-normal, log-logistic and Weibull distributions are commonly utilized to model survival data. Unimodal (or non-monotone) failure rate functions are modeled using the log-normal and the log-logistic families, whereas monotone failure rate functions
Abdisalam Hassan Muse +5 more
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Monotone circuits for monotone weighted threshold functions [PDF]
Information Processing Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amos Beimel, Enav Weinreb
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CONVEXIFICATION OF STRICTLY MONOTONE FUNCTIONS
Selecciones Matemáticas, 2016 This paper presents the theory that guarantees the convexi cation of a strictly monotone function. We proves a theorem and two corollaries for convexi cation of strictly monotones functions twice continuously differentiable, then the generalization of ...
Jenny Rojas Jerónimo +1 more
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On the noise sensitivity of monotone functions [PDF]
Random Structures & Algorithms, 2002 AbstractIt is known that for all monotone functions f : {0, 1}n → {0, 1}, if x ∈ {0, 1}n is chosen uniformly at random and y is obtained from x by flipping each of the bits of x independently with probability ϵ = n−α, then P[f(x) ≠ f(y)] < cn−α+1/2, for some c > 0.Previously, the best construction of monotone functions satisfying P[fn(x) ≠ fn(y)]
Elchanan Mossel, Ryan O'Donnell
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Application of operator monotone functions in economics; pp. 42–47 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Operator monotone functions play an important role in economics. We show that 2-monotonicity is equivalent to decreasing relative risk premium, a notion recently introduced in microeconomics.
Frank Hansen
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