RELATIONS BETWEEN CERTAIN DOMAINS IN THE COMPLEX PLANE AND POLYNOMIAL APPROXIMATION IN THE DOMAINS [PDF]
The author considers some classes of planar, simply connected domains including chordarc domains, quasidisks, quasiconvex domains, and John disks. These classes have been studied in the literature mainly for their importance in geometric function theory. The author proves various inclusion relations between these classes.
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Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
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The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
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Optimal Chebyshev polynomials on ellipses in the complex plane [PDF]
The design of iterative schemes for sparse matrix computations often leads to constrained polynomial approximation problems on sets in the complex plane.
Fischer, Bernd, Freund, Roland
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Approximation by complex Bernstein–Schurer and Kantorovich–Schurer polynomials in compact disks [PDF]
In this paper, the order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex Bernstein–Schurer and Kantorovich–Schurer polynomials attached to analytic functions on compact disks are obtained.
Anastassiou, George A., Gal, Sorin G.
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The degree of approximation by polynomials on some disjoint intervals in the complex plane
Let \(f\) be a continuous function defined on the compact set \(K\) consisting of the union of several disjoint intervals in the complex plane. Using the overconvergence technique the author estimates lower bounds of the error \(E_n(f,K)=\inf_{P\in {\mathcal{P}}_n}\| f-P\|\) where inf is taken over all polynomials of degree at most \(n\).
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This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
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Approximation of classes of Poisson integrals by rectangular Fejér means
The article is devoted to the problem of approximation of classes of periodic functions by rectangular linear means of Fourier series. Asymptotic equalities are found for upper bounds of deviations in the uniform metric of rectangular Fejér means on ...
Olga Rovenska
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Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
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Complex space monofilar approximation of diffraction currents on a conducting half plane [PDF]
Simple approximation of diffraction surface currents on a conducting half plane, due to an incoming plane wave, is obtained with a line current (monofile) in complex space. When compared to an approximating current at the edge, the diffraction pattern is
Lindell, I. V.
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