Conditions for certain ruin for the generalised Ornstein-Uhlenbeck process and the structure of the upper and lower bounds [PDF]
Damien Bankovsky
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Lower and Upper Bounds on the VC-Dimension of Tensor Network Models [PDF]
Behnoush Khavari, Guillaume Rabusseau
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New Upper and Lower Bounds for Ramsey Numbers
The Ramsey number \(R(G_1, G_2)\) is the smallest integer \(p\) such that for any graph \(G\) on \(p\) vertices either \(G\) contains the graph \(G_1\) or the complement \(\overline G\) of \(G\) contains the graph \(G_2\). The paper presents some new upper and lower bound formulas for \(R(G_1,G_2)\) and \(R(K_m, K_n)\).
Huang Yi Ru, , Yang Jian Sheng,
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Optimal bounds for the generalized Euler–Mascheroni constant
We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang +3 more
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Based on recent progress on moment problems, semidefinite optimization approach is proposed for estimating upper and lower bounds on linear functionals defined on solutions of linear integral equations with smooth kernels.
Guangming Zhou, Chao Deng, Kun Wu
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Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing [PDF]
Amadeu Delshams +3 more
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Single source unsplittable flows with arc-wise lower and upper bounds [PDF]
Sarah Morell, Martin Skutella
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Some new sharp bounds for the spectral radius of a nonnegative matrix and its application
In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.
Jun He +3 more
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Upper and lower bounds for tunneling splittings in a symmetric double-well potential. [PDF]
Ronto M, Pollak E.
europepmc +1 more source
New lower bounds for arithmetic, geometric, harmonic mean inequalities and entropy upper bound [PDF]
Guoxi ng Lu
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