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On the inversion invariance of invariant means [PDF]
Proceedings of the American Mathematical Society, 1965 An invariant mean on a group G is a normalized, positive, translation invariant linear functional defined on the space of cll bounded complex valued functions on G. Some groups possess an invariant mean (or are said to be amenable), while others do not. In particular, all abelian groups are amenable [2, ?17.5 ]. An invariant mean on a group need not be
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Invariant foreground occupation ratio for scale adaptive mean shift tracking
IET Computer Vision, 2015 The mean shift algorithm has been introduced successfully into the field of computer vision to be an efficient approach for visual tracking but the tracker has been awkward in handling the scale change of the object.
Yi Song +4 more
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Chen optimal inequalities of CR-warped products of generalized Sasakian space form
Journal of Taibah University for Science, 2020 Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui +2 more
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On the invariant mean and statistical convergence
Applied Mathematics Letters, 2009 The authors introduce two kinds of summability methods, \(\sigma\)-statistical summability and statistical \(\sigma\)-summability, by using the concepts of invariant means, and statistical convergence. A sequence \((x_{k})\) is said to be \(\sigma\)-statistically convergent to \(L\) if for every \( \varepsilon> 0\) \[ \lim_{p\rightarrow\infty}\frac{1 ...
Mohammad Mursaleen, Osama H. H. Edely
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Conjugation-invariant means [PDF]
Colloquium Mathematicum, 1987 Let \(G\) be a locally compact group, \(dx\) a left invariant measure, \((\tau_ x' f)(y)=f(xyx^{-1})\), \(x\in G\), \(f\in L^{\infty}(G)\) and \(\tau_ x\) the adjoint of \(\tau_ x'\) on \(L'(G)\). A nonnegative linear function M on \(L^{\infty}(G)\) is called a mean if \(M(1)=1\); a mean \(M\) is conjugate invariant if \(M(\tau_ x' f)=M(f)\) for all ...
Losert, Viktor, Rindler, H.
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Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
Cubo, 2019 In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
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Entropy, 2020 In the differential approach elaborated, we study the evolution of the parameters of Gaussian, mixed, continuous variable density matrices, whose dynamics are given by Hermitian Hamiltonians expressed as quadratic forms of the position and momentum ...
Julio A. López-Saldívar +2 more
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Invariant Tests for Means with Covariates
The Annals of Statistics, 1980 We consider the problem of testing a hypothesis about the means of a subset of the components of a multivariate normal distribution with unknown covariance matrix, when the means of a second subset (the covariates) are known. Because of the possible correlation between the two subsets, information provided by the second subset can be useful for ...
Marden, John, Perlman, Michael D.
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A new perspective on the spatio-temporal variability of soil moisture: temporal dynamics versus time-invariant contributions [PDF]
Hydrology and Earth System Sciences, 2012 Knowledge about the spatio-temporal variability of soil moisture is essential to understand and predict processes in climate science and hydrology. A significant body of literature exists on the characterization of the spatial variability and the rank ...
H. Mittelbach, S. I. Seneviratne
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Thickness in topological transformation semigroups
International Journal of Mathematics and Mathematical Sciences, 1993 This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ-semigroup if there exists an invariant mean on its ...
Tyler Haynes
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