Results 61 to 70 of about 5,782,798 (335)

New Information Inequalities in Terms of Variational Distance and its Application

Journal of New Results in Science, 2016
In this work, new information inequalities are obtained and characterized on new generalized f- divergence (introduced by Jain and Saraswat (2012)) in terms of the Variational distance and these inequalities have been taken for evaluating some new ...
K. C. Jain, Praphull Chhabra
doaj  

Grüss–Ostrowski inequalities and bounded variation

Journal of Inequalities and Applications
In this note, we establish corresponding Grüss–Ostrowski-type inequalities for functions with bounded variation. As an application, we provide some estimates for the error in numerical integration rules and estimation for the cumulative distribution ...
Karol Gryszka
doaj   +1 more source

Bounded variation of functions defined on a convex and compact set in the plane

Arab Journal of Basic and Applied Sciences, 2023
In this paper, the variation of functions has been defined, whose domain is a convex and compact set in the plane. Furthermore, in addition to presenting properties that satisfy this variation, the vector space formed by functions with finite variation ...
Mireya Bracamonte, Juan Tutasi
doaj   +1 more source

Traces for Functions of Bounded Variation on Manifolds with Applications to Conservation Laws on Manifolds with Boundary [PDF]

SIAM Journal on Mathematical Analysis, 2014
In this paper, we show the existence of a trace for functions of bounded variation on Riemannian manifolds with boundary. The trace, which is bounded in $L^\infty$, is reached via $L^1$-convergence and allows an integration by parts formula.
D. Kröner, T. Müller, Lena Maria Strehlau   +2 more
semanticscholar   +1 more source

Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer

FEBS Letters, EarlyView.
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani, Noemi E. Nwosu, Viktoria Gocke, Müge Kasanmascheff, Hannes Mutschler   +4 more
wiley   +1 more source

BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator

Mathematics
This paper deals with the research of solutions of bounded variation (BV) to evolution inclusion coupled with a time and state dependent maximal monotone operator. Different problems are studied: existence of solutions, unicity of the solution, existence
Charles Castaing, Christiane Godet-Thobie, Manuel D. P. Monteiro Marques   +2 more
doaj   +1 more source

On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation

, 2016
In this paper, we deal with one of the basic problems of the theory of autonomous superposition operators acting in the spaces of functions of bounded variation, namely the problem concerning their continuity.
D. Bugajewski, J. Gulgowski, P. Kasprzak
semanticscholar   +1 more source

Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing

FEBS Letters, EarlyView.
Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley   +1 more source

On the trace operator for functions of bounded 𝔸-variation [PDF]

, 2017
In this paper, we consider the space $\mathrm{BV}^{\mathbb A}(\Omega)$ of functions of bounded $\mathbb A$-variation. For a given first order linear homogeneous differential operator with constant coefficients $\mathbb A$, this is the space of $L^1 ...
D. Breit, L. Diening, Franz Gmeineder
semanticscholar   +1 more source

The role of histone modifications in transcription regulation upon DNA damage

FEBS Letters, EarlyView.
This review discusses the critical role of histone modifications in regulating gene expression during the DNA damage response (DDR). By modulating chromatin structure and recruiting repair factors, these post‐translational modifications fine‐tune transcriptional programmes to maintain genomic stability.
Angelina Job Kolady, Siyao Wang
wiley   +1 more source