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Discrete Modulus of Smoothness of Splines with Equally Spaced Knots
SIAM Journal on Numerical Analysis, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yingkang Hu
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A characterization of a modulus of smoothness in multidimensional setting [PDF]
, 2011 A classical result of approximation theory states that the modulus of smoothness of a function f (omega(f,delta)), defined by means of the variation functional, converges to 0 as delta tends to 0 from the right if and only if f is absolutely continuous.
ANGELONI, Laura
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Modulus of Continuity and Modulus of Smoothness related to the Deformed Hankel Transform
Results in Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Selma Negzaoui, Sara Oukili
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A generalized modulus of smoothness
Proceedings of the American Mathematical Society, 2014We construct moduli of smoothness that generalize the well-known classical moduli and possess similar properties. They are related to a linear differential operator L L
Draganov, Borislav R., Ivanov, Kamen G.
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On a third-order modulus of smoothness
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023In this paper we define a new third-order modulus of smoothness and we prove the conservation by Stancu operators of the Lipschitz classes defined with this modulus.
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Modulus of Smoothness and Approximation Theorems in Clifford Analysis
Complex Analysis and Operator Theory, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A modulus of smoothness on the unit sphere
Journal d'Analyse Mathématique, 1999For functions on \(S^{d-1}\) (the unit sphere in \(\mathbb{R}^d\)), and, in particular, for \(f \in L_p(S^{d-1 ...
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The Modulus of Smoothness in Metric Spaces and Related Problems
Potential Analysis, 2010The paper studies generalized Besov and Sobolev spaces of functions on a metric measure space. The definition involves a rather general modulus of smoothness with two Banach lattices \(E\) and \(F\), and an auxiliary nondecreasing function. Let \(f^*\) stand for the decreasing rearrangement of \(f\) on \((0,\mu(X))\), and \(f^{**}\) for its maximal ...
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The Modulus of Smoothness and Discrete Data in a Square Domain
IMA Journal of Numerical Analysis, 1988This paper relates to a function f on a two-dimensional square domain that is finite, infinite, or semi-infinite. It is shown that, if the second difference of f with respect to a uniform square lattice of mesh- size \(2^{-n}\) is uniformly of order \(2^{-n\alpha}\), with ...
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Complex modulus and compliance for airway smooth muscle cells
Physical Review E, 2020A cell can be described as a complex viscoelastic material with structural relaxations that is modulated by thermal and chemically nonequilibrium processes. Tissue morphology and function rely upon cells' physical responses to mechanical force. We measured the frequency-dependent mechanical relaxation response of adherent human airway smooth muscle ...
Peter Berntsen +3 more
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