Results 291 to 300 of about 1,210,149 (308)
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Weak Convergence Is Not Strong Convergence For Amenable Groups
Canadian Mathematical Bulletin, 2001AbstractLet G be an infinite discrete amenable group or a non-discrete amenable group. It is shown how to construct a net (fα) of positive, normalized functions in L1(G) such that the net converges weak* to invariance but does not converge strongly to invariance.
Rosenblatt, Joseph M., Willis, George A.
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Strong Boundedness and Strong Convergence in Sequence Spaces
Canadian Journal of Mathematics, 1991AbstractStrong convergence has been investigated in summability theory and Fourier analysis. This paper extends strong convergence to a topological property of sequence spaces E. The more general property of strong boundedness is also defined and examined.
Buntinas, Martin, Tanović-Miller, Naza
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Strong Convergence of Stochastic Epidemics
Advances in Applied Probability, 1994This paper is concerned with a model for the spread of an epidemic in a closed, homogeneously mixing population in which new infections occur at ratef(x,y) and removals occur at rateg(x,y), wherexand y are the numbers of susceptible and infective individuals, respectively, andfandgare arbitrary but specified positive real-valued functions. Sequences of
Ball, Frank, O'Neill, Philip
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Convergence, Absolute Convergence and Strong Convergence with Periodicity
Journal of the London Mathematical Society, 1973We write \(| S|\in Z_k\), where \(k\) \((\geq 1)\) is a positive integer, if the series \(\sum_{n=0}^\infty (S_{n+k}-S_n)\) converges, and call \(Z_k\) the space of all convergent sequences of period \(k\). Here several theorems have been proved, connecting the \(Z_k\), \(| Z_k|\), \(C_\alpha\), \(| C_\alpha|\) etc. Following are the first two theorems
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Communications in Statistics - Theory and Methods, 2014
In the present article, we generalize the first part of the Borel-Cantelli lemma. By this generalization, we obtain strong limit results.
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In the present article, we generalize the first part of the Borel-Cantelli lemma. By this generalization, we obtain strong limit results.
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Strong Convergence and Weak Convergence
1965In this chapter, we shall be concerned with certain basic facts pertaining to strong-, weak- and weak* convergences, including the comparison of the strong notion with the weak notion, e.g., strong- and weak measurability, and strong- and weak analyticity.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1979
The concept of strong almost convergence was introduced in (2), where the matrices summing every strongly almost convergent sequence, leaving the limit invariant, were characterized.
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The concept of strong almost convergence was introduced in (2), where the matrices summing every strongly almost convergent sequence, leaving the limit invariant, were characterized.
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On S ? ?(?, A, F)?convergence and strong N? ? (?, A, F)?convergence
2023In this paper, we introduce strong N ? ? (?, A, F)?convergence and S ? ?(?, A, F)?convergence with respect to a sequence of modulus functions and give some connections between strongly N ? ? (?, A, F)?convergent sequences and S ? ?(?, A, F)?convergent sequences for 0 < ? ? ? ? 1.
Kandemir, Hacer Şengül +2 more
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Strong Resolvent Convergence of Diffusion Operators
SIAM Journal on Mathematical Analysis, 1985Summary: It is shown that differential operators arising from boundary value problems with eigenvalue parameter in the boundary condition occur as the limits, in the sense of a generalized notion of strong resolvent convergence, of families of Sturm-Liouville operators modeling heat flow in a rod, where the diffusion coefficient becomes arbitrarily ...
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