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pointwise convergence

   Also found in: Wikipedia 0.01 sec.
pointwise convergence [′pȯint‚wīz kən′vər·jəns]
(mathematics)
A sequence of functions ƒ1, ƒ2,… defined on a setSconverges pointwise to a function ƒ if the sequence ƒ1(x), ƒ2(x),… converges to ƒ(x) for eachxinS.


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21) Combining (20) and (21) we obtain pointwise convergence of the series F([lambda]) = [[infinity].
2 we have, for each n [member of] N, pointwise convergence of the corresponding transforms [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
The mathematicians investigate the pointwise convergence of weighted averages linked to averages along cubes, divergent ergodic averages along the squares, the one-sided ergodic Hilbert transform, deterministic walks in Markov environments with constant rigidity, limit theorems for sequential expanding dynamical systems, and random Fourier-Stieltjes transforms.
 
 
 
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