Results 91 to 100 of about 2,363 (230)
Survey on Recent Ulam Stability Results Concerning Derivations
Journal of Function Spaces, 2016 This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability.
Janusz Brzdęk +4 more
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Journal of Mathematical Analysis and Applications, 2018 The goal of this paper is to study the general solution of the following general radical quintic functional equation f ( a x 5 + b y 5 5 ) = r f ( x ) + s f ( y ) for f a mapping from the field of real numbers into a vector space, where a , b , r , s are
Iz-iddine El-Fassi
semanticscholar +1 more source
On the hyperstability of a Cauchy-Jensen type functional equation in Banach spaces
In this paper, we establish some hyperstability results of the following Cauchy-Jensen functional equationin Banach ...
Kabbaj, Samir, El-Fassi, Iz-Iddine
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Hyperstable Sets with Voting and Algorithmic Hardness Applications
CoRR, 2022 The noise stability of a Euclidean set $A$ with correlation $ρ$ is the probability that $(X,Y)\in A\times A$, where $X,Y$ are standard Gaussian random vectors with correlation $ρ\in(0,1)$. It is well-known that a Euclidean set of fixed Gaussian volume that maximizes noise stability must be a half space.
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On Ulam's Type Stability of the Cauchy Additive Equation
The Scientific World Journal, 2014 We prove a general result on Ulam's type stability of the functional equation fx+y=fx+fy, in the class of functions mapping a commutative group into a commutative group. As a consequence, we deduce from it some hyperstability outcomes.
Janusz Brzdęk
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Absolute stability and hyperstability of a class of hereditary systems
Informatica, 1998 This paper extends some basic results on absolute stability and hyperstability from linear plants subject to a wide class of nonlinear controllers to plants having delays in the state while being controlled by the same classes of nonlinear controllers.
Manuel de la Sen, Josu Jugo
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Hyperstability in Electrofishing Catch Rates of Common Carp and Bigmouth Buffalo
, 2022 Electrofishing catch per unit effort (CPUE) can be an effective index of relative abundance when CPUE is proportional to population density. However, the relationship between fish catch rates and density can be variable and not proportional because ...
McCombs, Audrey +2 more
core
A fixed point theorem in ultrametric n-Banach spaces and hyperstability results
Fixed Point Theory, 2023 Á. M, A. S, Hryrou Hryrou, E. Y
semanticscholar +1 more source
HyperSteer: Activation Steering at Scale with Hypernetworks
CoRRSteering language models (LMs) by modifying internal activations is a popular approach for controlling text generation. Unsupervised dictionary learning methods, e.g., sparse autoencoders, can be scaled to produce many steering vectors, but lack guarantees on the individual efficacy of each vector and control over the coverage of relevant steering ...
Jiuding Sun +5 more
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Hyperstability of a Monomial Functional Equation
Journal of Scientific Research and Reports, 2014 In this paper, we establish some hyperstability results concerning the monomial functional equation n X r=0 ( 1) n r C n rf(rx +y) = n!f(x)
M. Almahalebi, A. Charifi, S. Kabbaj
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