Results 61 to 70 of about 1,241,136 (285)

Parameterized inequalities based on three times differentiable functions

open access: yesBoundary Value Problems
This paper presents a general identity including two real parameters for three times differentiable functions. By using this equality, we prove several inequalities by using diverse function classes such as convex function, bounded function, Lipschitzian
Bouharket Benaissa   +2 more
doaj   +1 more source

The product and existence theorems for analytic functions in a polydisc of bounded $L$-index in direction

open access: yesResearches in Mathematics
For functions analytic in the unit polydisc with bounded $L$-index in a direction there are presented three various results. The product theorem specifies that the product of analytic functions of bounded $L$-index in direction belongs to the same class.
A.I. Bandura   +4 more
doaj   +1 more source

Bounded functional interpretation

open access: yesAnnals of Pure and Applied Logic, 2005
Gödel's Dialectica interpretation is suitable for extracting precise witnesses from constructive proofs of existential statements (or more generally of \(\forall \exists\)-statements). In the present paper, the authors present a new functional interpretation -- the so called \textit{bounded functional interpretation}, b.f.i. henceforth -- which aims at
Ferreira, Fernando, Oliva, Paulo
openaire   +2 more sources

Random trees between two walls: Exact partition function

open access: yes, 2003
We derive the exact partition function for a discrete model of random trees embedded in a one-dimensional space. These trees have vertices labeled by integers representing their position in the target space, with the SOS constraint that adjacent vertices
Bateman H   +12 more
core   +3 more sources

The newfound relationship between extrachromosomal DNAs and excised signal circles

open access: yesFEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

Wavelet approximation of a function using Chebyshev wavelets

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we estimate the best wavelet approximations of a function f having bounded second derivatives and bounded higher-order derivatives using Chebyshev wavelets of third and fourth kinds.
H. K. Nigam, R. N. Mohapatra, K. Murari
doaj   +1 more source

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

open access: yesFEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva   +5 more
wiley   +1 more source

On a question of Eremenko concerning escaping components of entire functions

open access: yes, 2006
Let f be an entire function with a bounded set of singular values, and suppose furthermore that the postsingular set of f is bounded. We show that every component of the escaping set I(f) is unbounded.
Rempe, Lasse
core   +3 more sources

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

open access: yesFEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva   +10 more
wiley   +1 more source

On a Conjecture of EM Stein on the Hilbert Transform on Vector Fields

open access: yes, 2008
Let $ v$ be a smooth vector field on the plane, that is a map from the plane to the unit circle. We study sufficient conditions for the boundedness of the Hilbert transform \operatorname H_{v, \epsilon}f(x) := \text{p.v.}\int_{-\epsilon}^ \epsilon f(x ...
Lacey, Michael, Li, Xiaochun
core   +2 more sources

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