Results 41 to 50 of about 166,235,716 (309)
Convergence-Preserving Function Sequences and Uniform Convergence
Journal of Mathematical Analysis and Applications, 1999 Consider a sequence of real-valued functions \(\{f_k, k\geq 1\}\) defined on a closed subset \(S\) of the real line. This sequence is called convergence-preserving on \(S\) if \(\{f_k(t_k), k\geq 1\}\) is convergent for every convergent sequence \(\{t_k\} \subset S\). The main result shows that \(\{f_k\}\) is convergence-preserving on a closed interval
openaire +2 more sources
ON ABEL CONVERGENT SERIES OF FUNCTIONS [PDF]
JOURNAL OF ADVANCES IN MATHEMATICS, 2016 In this paper, we are concerned with Abel uniform convergence and Abel pointwise convergence of series of real functions where a series of functions Σ fn is called Abel uniformly convergent to a function f if for each " > 0 there is a _ > 0 such that jfx(t) 􀀀 f(t)j < " for 1 􀀀 _ < x < 1 and 8t 2 X, and a series of functions Σ fn ...
Albayrak, Mehmet, Gül, Erdal
openaire +2 more sources
FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
I_2-convergence of double sequences of functions [PDF]
, 2015 In this work, we discuss various kinds of ideal convergence for double sequences of functions with values in R. We introduce the concepts of I_2, I∗_2-pointwise convergence and the concepts of I_2, I∗_2-pointwise Cauchy for double sequences of functions ...
Altay, Bilal, Dündar, Erdinç
core +1 more source
The Bézier variant of Kantorovich type λ-Bernstein operators
Journal of Inequalities and Applications, 2018 In this paper, we introduce the Bézier variant of Kantorovich type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation ...
Qing-Bo Cai
doaj +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
A new notion of convergence on ideal topological spaces
Selecciones Matemáticas, 2020 In this article, we use the notions of b-open and b-I-open sets to introduce the idea of b-I-convergence which we will denoted by b-I-convergence, we also show some of its properties.
Carlos Granados
doaj +1 more source
Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions
SciPost Physics, 2022 We analyze the convergence properties of operator product expansions (OPE) for Lorentzian CFT four-point functions of scalar operators. We give a complete classification of Lorentzian four-point configurations.
Jiaxin Qiao
doaj +1 more source
Structural insights and therapeutic targets in Acinetobacter baumannii capsule biosynthesis
FEBS Letters, EarlyView.Hypervirulent KL49 A. baumannii's capsular polysaccharide contains the nonulosonic acid 8‐epi‐Leg5,7Ac2, synthesized by epimerization via ElaA, ElaB, and ElaC. Crystal structures of ElaA, ElaB, and ElaC reveal their role in CMP‐Leg5,7Ac2 synthesis and regioselective C8 epimerization.
Woo Cheol Lee +7 more
wiley +1 more source
On continuous convergence and epi-convergence of random functions. Part I: Theory and relations [PDF]
, 2003 summary:Continuous convergence and epi-convergence of sequences of random functions are crucial assumptions if mathematical programming problems are approximated on the basis of estimates or via sampling.
Lachout, Petr, Vogel, Silvia
core +1 more source