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Comparison with Pointwise Convergence
1993In the previous chapter we saw that, in general, Γ-convergence and point-wise convergence are independent. In this chapter we illustrate the relationships between Γ-limits and pointwise limits and give some conditions under which Γ-convergence and pointwise convergence are equivalent.
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POINTWISE CONVERGENCE OF DOUBLE WALSH SERIES
Analysis, 1992The author proves several Tauberian type theorems for Walsh series whose coefficients satisfy certain generalized bounded variation conditions. Combining these theorems with known summability results, the author proves convergence theorems for a large class of double Walsh-Fourier series. Here is a typical example of what this article contains.
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Note on Pointwise Convergence on the Choquet Boundary
Canadian Mathematical Bulletin, 1967In [6] J. Rainwater obtained the following theorem.Theorem. Let N be a normed linear space, {xn} a bounded sequence of elements in N and X ∊ N. for each extreme point f of the unit ball of N✶, then {xn} converges weakly to x.Now let X be a compact Hausdorff space and H a linear subspace of C(X) (all real-valued continuous functions on X ) which ...
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Examples of a pointwise convergence of semigroups
1995Summary: This article is a continuation of the paper [Semigroup Forum 49, No. 3, 303-327 (1994; Zbl 0817.47047)]. It contains further examples of families of semigroups approximating semigroups strongly continuous only on a subspace of the original Banach space.
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Pointwise Convergence of the Fractional Schrödinger Equation in $\mathbb{R}^2$
Taiwanese Journal of Mathematics, 2022Chu-Hee Cho, Hyerim Ko
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Pointwise Convergence of the Wavelet Regularization Estimator
2002It is proved that the linear shrinkage wavelet estimator for nonparametric regression reaches the optimal rate of convergence in the Mean Square Error at any given point.
Angelini C, De Canditiis D
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On pointwise convergence of linear integral operators with homogeneous kernels
Integral Transforms and Special Functions, 2008Harun Karsli +2 more
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