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Such a convergence is called pointwise convergence.
Hence (5.2) is proved with a pointwise convergence on ℂ.
(ii) The property (G) is more general than pointwise convergence.
Let C ( X ) be equipped with pointwise convergence topology.
For the functions possessing local regularity we study the rate of pointwise convergence of wavelet Fourier series.
Estimates for maximal functions provide the fundamental tool for solving problems on pointwise convergence.
For vector spaces of measurable functions we also derive pointwise convergence results.
The pointwise convergence (5.16) is also an immediate consequence of (5.18) and (5.19).
Also, we estimate the rate of pointwise convergence of the proposed operators by modulus of continuity.
In this section, we give a theorem concerning the rate of pointwise convergence.
First, we give a pointwise convergence result on the inverse shearlet transform in higher dimensions.
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