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This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous
Mingfeng Xu +5 more
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Generalized Pseudo-Butterworth Refinable Functions
Journal of Fourier Analysis and Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhongxuan Luo +3 more
semanticscholar +2 more sources
Regularity of Multivariate Refinable Functions
Constructive Approximation, 1999The regularity of univariate compactly supported refinable functions is known to be related to the spectral properties of an associated transfer operator. The authors derive similar results for the case of multivariate refinable functions with a general dilation matrix \(A\).
A. Cohen, K. Gröchenig, L. Villemoes
semanticscholar +4 more sources
Multivariate symmetric refinable functions and function vectors
International Journal of Wavelets, Multiresolution and Information Processing, 2016For any symmetry group [Formula: see text], any appropriate matrix dilation (compatible with [Formula: see text]) and any appropriate symmetry center [Formula: see text] we give an explicit method for the construction of [Formula: see text]-symmetric with respect to the center [Formula: see text] refinable masks which have sum rule of an arbitrary ...
A. Krivoshein
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Refinements of Jessen’s Functional
Ukrainian Mathematical Journal, 2016In this paper we obtain new refinements of Jessen's functional, defined by means of positive linear functionals. Derived results are then applied to weighted generalized and power means. We also obtain new refinements of numerous classical inequalities such as arithmetic-geometric mean inequality, Young's inequality and Holder's inequality.
Barbir, Ana +2 more
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Material-adapted refinable basis functions for elasticity simulation
ACM Transactions on Graphics, 2019In this paper, we introduce a hierarchical construction of material-adapted refinable basis functions and associated wavelets to offer efficient coarse-graining of linear elastic objects.
Jiong Chen +5 more
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Refinable Functions: Positivity and Interpolation
Analysis and Applications, 2003This paper examines two properties of refinable functions. The first provides conditions under which a refinable function is strictly positive and the other presents a conjecture about cardinal interpolation by refinable functions. The conjecture is supported by some analysis and also computation.
Micchelli, Charles A., Zhou, Ding-Xuan
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