Results 51 to 60 of about 85,897 (260)

The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations

Axioms
In this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
doaj   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

FEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure, Misaki K. Nishio, Satoru Okuda, Kohji Hotta   +3 more
wiley   +1 more source

On a generalization of the Stancu-Schurer operator of higher order

Journal of Numerical Analysis and Approximation Theory
In this paper, we introduce a generalization of the higher-order Stancu–Schurer operator. Starting from a particular form of the operator recently introduced by the authors, we extend the convex combination of two terms appearing in its expression to a ...
Eduard Stefan Grigoriciuc, Andra Malina
doaj   +1 more source

Korovkin Type Theorem for Sequences of Operators Depending on a Parameter

Demonstratio Mathematica, 2015
We establish necessary and sufficient conditions for a parameter depending sequence (Ln,λ)n≥1 of positive linear operators such that (Ln,λ)n≥1 converges in the strong operator topology to its limit operator.
Finta Zoltán
doaj   +1 more source

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy

FEBS Letters, EarlyView.
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson, Tomáš Gedeon, Mauricio Garcia Benitez, Campbell Putnam, William R. Harcombe, Radhakrishnan Mahadevan, Ashley E. Beck   +6 more
wiley   +1 more source

Towards the best constant in front of the Ditzian-Totik modulus of smoothness

Journal of Inequalities and Applications, 2016
We give accurate estimates for the constants K ( A ( I ) , n , x ) = sup f ∈ A ( I ) | L n f ( x ) − f ( x ) | ω σ 2 ( f ; 1 / n ) , x ∈ I , n = 1 , 2 , … , $$ K\bigl(\mathcal{A}(I), n, x\bigr)=\sup_{f\in\mathcal{A}(I)}\frac{|L_{n} f(x)-f(x)|}{\omega_ ...
José A Adell, Alberto Lekuona
doaj   +1 more source

On Geometric Series of Positive Linear Operators

Constructive Mathematical Analysis, 2019
We study the existence and the norm of operators obtained as power series of linear positive operators with particularization to Bernstein operators. We also obtain a Voronovskaja-kind theorem.
openaire   +3 more sources

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

FEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace, Alyssa Borges, Charles Arnaud, Tove Karlsson, Nina K. Bröker, Stefanie Barbirz, Marta Bally   +6 more
wiley   +1 more source

ℐ-αβ-statistical relative uniform convergence for double sequences and its applications

Demonstratio Mathematica
This article introduces a novel concept of convergence, referred to as ℐ{\mathcal{ {\mathcal I} }}-αβ\alpha \beta -statistical relative uniform convergence, for double sequences of functions.
Bayram Nilay Sahin, Yıldız Sevda
doaj   +1 more source

Multivariate and abstract approximation theory for Banach space valued functions

Demonstratio Mathematica, 2017
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including those under convexity ...
Anastassiou George A.
doaj   +1 more source