Results 11 to 20 of about 269,037 (219)
Order of approximation for sampling Kantorovich operators [PDF]
Journal of Integral Equations and Applications, 2014 In this paper, we study the problem of the rate of approximation for the family of sampling Kantorovich operators in the uniform norm, for uniformly continuous and bounded functions belonging to Lipschitz classes (Zygmund-type classes), and for functions in Orlicz spaces.
COSTARELLI, Danilo, VINTI, Gianluca
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Correction of High-Order $$L_k$$ Approximation for Subdiffusion
Journal of Scientific Computing, 2022 The subdiffusion equations with a Caputo fractional derivative of order $α\in (0,1)$ arise in a wide variety of practical problems, which is describing the transport processes, in the force-free limit, slower than Brownian diffusion. In this work, we derive the correction schemes of the Lagrange interpolation with degree $k$ ($k\leq 6$) convolution ...
Jiankang Shi +3 more
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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High-Order Parametric Polynomial Approximation of Conic Sections [PDF]
Constructive Approximation, 2013 In this interesting paper, the authors construct approximations to the ellipse and hyperbola using parametric polynomial equations. The approximations obtained are the best approximations satisfying \[ x_n(t)^2 \pm y_n(t)^2 = 1 + \varepsilon_n(t), \] where \(\varepsilon_n(t) = \pm t^{2n}\) and \(x_n(t)\), \(y_n(t)\) are polynomials of degree at most ...
Jaklič, Gašper +4 more
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
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In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
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Approximation Order of Bivariate Spline Interpolation
Journal of Approximation Theory, 1996 The author considers the approximation order of certain bivariate polynomial spline Hermite interpolants which are defined for a specific class of triangulations. More precisely, these triangulations are obtained by partitioning a given rectangle into uniform subrectangles, and splitting each such subrectangle into two triangles using the upward ...
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Measurable approximation of a second-order process [PDF]
Proceedings of the American Mathematical Society, 1987 An important problem, having practical as well as theoretical significance, is the problem of determining whether or not a stochastic process has a measurable modification or can be approximated (in the mean square sense) by a second-order process admitting such a modification.
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Approximation orders of real numbers by $$\beta $$-expansions [PDF]
Mathematische Zeitschrift, 2019 Comment: 23 pages. All comments and suggestions are welcome. Thank you very much!
Fang, Lulu, Wu, Min, Li, Bing
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