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Asymptotic Regularity of Compactly Supported Wavelets

SIAM Journal on Mathematical Analysis, 1995
This paper deals with the asymptotic regularity of wavelets generating orthonormal wavelet bases, when the support width of the wavelets tend to infinity. Beginning with \textit{I. Daubechies}' foundational paper [Commun. Pure Appl. Math. 41, No. 7, 901-996 (1988; Zbl 0653.42033)], in which a basic relation between support width and regularity was ...
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Nonexpansive mappings and asymptotic regularity

Nonlinear Analysis: Theory, Methods & Applications, 2000
The present paper is devoted to a new approach to asymptotic regularity of nonexpansive mappings in Banach spaces. The results are established for the larger class of directionally nonexpansive mappings and extend or complement those of \textit{M. Edelstein} [Am. Math. Mon. 73, 509-510 (1966; Zbl 0138.39901)], \textit{M. Edelstein} and \textit{R. C.
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On the asymptotic regularity of nonexpansive mappings

Acta Mathematica Hungarica, 1986
Given a normed vector space X, a self-mapping P of X is said to be asymptotically regular if for every point x of X we have \(\| P^{n+1}x-P^ nx\| \to 0\) as \(n\to \infty\). First, a new and simple proof is given to the theorem of S. Ishikawa, namely: Theorem B: Let D be a subset of a normed space X and \(T: X\to X\) be a nonexpansive mapping.
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Gradient estimate for asymptotically regular elliptic equations of double phase with variable exponents

Mathematische Nachrichten, 2023
Shuang Liang, Shenzhou Zheng
exaly

Regularity for Asymptotically Regular Elliptic Double Obstacle Problems of Multi-phase

Results in Mathematics, 2023
Shuang Liang
exaly

Fixed point theorems for asymptotically T-regular mappings in preordered modular G-metric spaces applied to solving nonlinear integral equations

Journal of Analysis, 2021
Godwin Amechi Okeke, Daniel Francis
exaly

Calderón-Zygmund estimate for asymptotically regular non-uniformly elliptic equations

Journal of Mathematical Analysis and Applications, 2020
Shuang Liang, Shenzhou Zheng
exaly

Calderón–Zygmund estimate for asymptotically regular elliptic equations with Lp(x) -logarithmic growth

Complex Variables and Elliptic Equations, 2022
Shuang Liang, Shenzhou Zheng
exaly

AN OPTIMAL GRADIENT ESTIMATE FOR ASYMPTOTICALLY REGULAR VARIATIONAL INTEGRALS WITH MULTI-PHASE

Rocky Mountain Journal of Mathematics, 2022
Shuang Liang, Shenzhou Zheng
exaly