Results 11 to 20 of about 808,928 (286)
Invariant and Absolute Invariant Means of Double Sequences [PDF]
Journal of Function Spaces and Applications, 2012 We examine some properties of the invariant mean, define the concepts of strong σ-convergence and absolute σ-convergence for double sequences, and determine the associated sublinear functionals.
Abdullah Alotaibi +2 more
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Invariant means and iterates of mean-type mappings [PDF]
Aequationes mathematicae, 2019 Classical result states that for two continuous and strict means $M,\,N \colon I^2 \to I$ ($I$ is an interval) there exists a unique $(M,N)$-invariant mean $K \colon I^2 \to I$, i.e. such a mean that $K \circ (M,N)=K$ and, moreover, the sequence of iterates $((M,N)^n)_{n=1}^\infty$ converge to $(K,K)$ pointwise.
Janusz Matkowski, Paweł Pasteczka
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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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Aequationes mathematicae, 2018 Let \(M\) and \(N\) be means on the same interval \(I\). The paper deals with the following invariance problem: finding a mean \(K\) on \(I\) such that \[ K(M(x,y),N(x,y))=K(x,y), \] for all \(x,y\in I\). One can see as a starting point of this problem the identity \[ \frac{x+y}{2}\cdot \frac{2}{\frac{1}{x}+\frac{1}{y}}=xy.
Jarczyk, Justyna, Jarczyk, Witold
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Remark on invariant means [PDF]
Proceedings of the American Mathematical Society, 1967 In this note G is an abelian group and m is generically an invariant mean in G, as defined, for example, in [4]. Probabilistic arguments [Baire's theorem] are applied to the measure [topological] space 2G to obtain information about the means m. One result, which appears to be new, is an answer to a problem set by R. G.
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Stochastic Order and Generalized Weighted Mean Invariance [PDF]
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines, from information theory to physics, from economics to traffic flow.
Mateu Sbert +3 more
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Mean-of-Order-p Location-Invariant Extreme Value Index Estimation
Revstat Statistical Journal, 2016 A simple generalisation of the classical Hill estimator of a positive extreme value index (EVI) has been recently introduced in the literature. Indeed, the Hill estimator can be regarded as the logarithm of the mean of order p = 0 of a certain set of ...
M. Ivette Gomes +2 more
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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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Interpolation inequalities between Sobolev and Morrey-Campanato spaces: A common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities [PDF]
, 2013 We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates give in particular concentration-compactness inequalities in the translation-invariant and in the translation- and dilation-invariant case.
Van Schaftingen, Jean
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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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