Results 171 to 180 of about 244,174 (205)

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 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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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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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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ON STRONG CONVERGENCE FACTORS

The Quarterly Journal of Mathematics, 1965
Kuttner, Brian, Maddox, I. J.
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Lacunary strong \(Ap\)-convergence with respect to a modulus

2001
Summary: The definition of lacunary strong \(A\)-convergence with respect to a modulus is extended to lacunary strong \(Ap\)-convergence with respect to a modulus when \(p=(p_i)\) is a real sequence with positive terms. We study some connections between lacunary strong \(Ap\)-convergence with respect to a modulus and lacunary \(A\)-statistical ...
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Strong convergence.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1979
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The Strong Convergence of the Exponential Function

Journal of the London Mathematical Society, 1947
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