Results 271 to 280 of about 194,045 (291)

Strong Convergence of Stochastic Epidemics

Advances in Applied Probability, 1994
This 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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Strong Boundedness and Strong Convergence in Sequence Spaces

Canadian Journal of Mathematics, 1991
AbstractStrong 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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Convergence, Absolute Convergence and Strong Convergence with Periodicity

Journal of the London Mathematical Society, 1973
We 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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On Strong Convergence

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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Weak Convergence Is Not Strong Convergence For Amenable Groups

Canadian Mathematical Bulletin, 2001
AbstractLet 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 Convergence and Weak Convergence

1965
In 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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On strong almost convergence

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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Strong Resolvent Convergence of Diffusion Operators

SIAM Journal on Mathematical Analysis, 1985
Summary: 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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Strong optimality in OG economies: convergence

Journal of Mathematical Economics, 2001
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Strong convergence of additive arithmetic functions

Lithuanian Mathematical Journal, 1985
Given an additive function f let \(f_ k\) (k\(\geq 1)\) be the associated ''truncated'' functions defined by \(f_ k(n)=\sum_{p^ m\| n, p\leq k}f(p^ m).\) The author first characterizes those additive functions f, for which the sequence \((f_ k)\) converges strongly to f in the sense that for every \(\epsilon >0\) \[ \lim_{k\to \infty} \limsup_{x\to ...
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