Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator [PDF]
We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds
Khalil Ben Haddouch +3 more
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Essential enhancements in Abelian networks: Continuity and uniform strict monotonicity [PDF]
We prove that in wide generality the critical curve of the activated random walk model is a continuous function of the deactivation rate, and we provide a bound on its slope which is uniform with respect to the choice of the graph. Moreover, we derive strict monotonicity properties for the probability of a wide class of `increasing' events,extending ...
Taggi, Lorenzo
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Strict Monotonicity and Unique Continuation for General Non-local Eigenvalue Problems [PDF]
We consider the weighted eigenvalue problem for a general non-local pseudo-differential operator, depending on a bounded weight function. For such problem, we prove that strict (decreasing) monotonicity of the eigenvalues with respect to the weight function is equivalent to the unique continuation property of eigenfunctions.
FRASSU, SILVIA, Iannizzotto Antonio
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A note on strict K-monotonicity of some symmetric function spaces [PDF]
We discuss some sufficient and necessary conditions for strict K-monotonicity of some important concrete symmetric spaces. The criterion for strict monotonicity of the Lorentz space \(\Gamma _{p,w}\) with \(0\)
Maciej Ciesielski +2 more
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On Strict Monotonicity of Continuous Solutions of Certain Types of Functional Equations
It is a commonplace that F is continuous on the cartesian square of the range of f if f is continuous and satisfies1say, for all real x, y (cf. e.g. [2]). A.D. Wallace has kindly called my attention to the fact, that this is trivial only if f is (constant or) strictly monotonic and asked for a simple proof of the strict monotonicity of f. The following
J. Aczel
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Strict Monotonicity in Comparative Statics [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edlin, Aaron S., Shannon, Chris
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A Proof of the Strict Monotone 5-Step Conjecture [PDF]
A computer search through the oriented matroid programs with dimension 5 and 10 facets shows that the maximum strictly monotone diameter is 5. Thus $Δ_{sm}(5,10)=5$. This enumeration is analogous to that of Bremner and Schewe for the non-monotone diameter of 6-polytopes with 12 facets.
John Mackenzie Gallagher +1 more
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Complete Monotonicity of Logarithmic Mean [PDF]
In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is ...
Qi, Feng
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Monotonicity Results for Arithmetic Means of Concave and Convex Functions [PDF]
By majorization approaches, some known results on monotonicity of the arithmetic means of convex and concave functions are proved and generalized once ...
Xu, Tie-Quan, Qi, Feng, Shi, Huan-Nan
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Strict Fejér Monotonicity by Superiorization of Feasibility-Seeking Projection Methods [PDF]
Journal of Optimization Theory and Applications, accepted for ...
Yair Censor, Alexander J. Zaslavski
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