Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]
, 2004 In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T +2 more
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FEBS Letters, EarlyView.Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
Functions of bounded variation in one and multiple dimensions [PDF]
, 2020 In this Masters thesis, we investigate the properties of functions of bounded variation. First, we consider univariate functions, afterwards we generalize this notion to higher dimensions. There are many different definitions of multivariate functions of
Breneis, Simon
core +2 more sources
Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation [PDF]
, 2006 Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f'| is convex is explored.
Cheung, Wing Sum +2 more
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On the Hammerstein equation in the space of functions of bounded $\varphi $-variation in the plane [PDF]
, 2003 summary:In this paper we study existence and uniqueness of solutions for the Hammerstein equation \[ u(x) = v(x) + \lambda \int _{I_{a}^{b}} K(x,y) f\big (y,u(y)\big )\, dy\,, \quad x \in I_{a}^{b} := [a_{1},b_{1}] \times [a_{2},b_{2}]\,, \] in the space
Matute, Jesús +6 more
core +1 more source
Two remarks on properties of functions of bounded variation
Вестник Самарского университета: Естественнонаучная серияIn terms of variations, a sufficient condition for the uniform convergence of sequences of continuous functions is proved. Using this result, we obtain an addition to the classical Helly theorem on the selection of convergent sequences of functions with ...
Sergey V. Astashkin, Vladislav M. Ershov
doaj +1 more source
Calpain small subunit homodimerization is robust and calcium‐independent
FEBS Letters, EarlyView.Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
Approximating the Stieltjes Integral of Bounded Functions and Applications for Three Point Quadrature Rules [PDF]
, 2007 Sharp error estimates in approximating the Stieltjes integral with bounded integrands and bounded integrators respectively, are given.
Dragomir, Sever S
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Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I)
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.
Dragomir Silvestru Sever
doaj +1 more source