Results 71 to 80 of about 33,262 (259)
Diagonalization of Abel’s Integral Operator [PDF]
SIAM Journal on Applied Mathematics, 1994 The author provides an explicit diagonalization of Abel's integral operator \(A\), given by \((Af) (x) =\) \(\int^ \infty_ x (y^ 2 - x^ 2)^{-1/2} f(y)dy\). This diagonalization has also been applied to stellar wind tomography, and apparently provides a quick diagonalization of \(A\).
openaire +2 more sources
Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Ozaki's conditions for general integral operator [PDF]
Sahand Communications in Mathematical Analysis, 2017 Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*} mathcal{G}(alpha):=left{fin mathcal{A ...
Rahim Kargar, Ali Ebadian
doaj
Properties of a new integral operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we derive sufficient conditions for the univalence, star- likeness, convexity and some other properties in the class N (ρ) ; for a new integral operator defined on the space of normalized analytic functions in the open unit disk.
Bucur Roberta +2 more
doaj +1 more source
Mathematics, 2018 In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator.
Shin Min Kang +3 more
doaj +1 more source
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Some results on quantum Hahn integral inequalities
Journal of Inequalities and Applications, 2019 In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit +3 more
doaj +1 more source
Graph operations and neighbor-integrity [PDF]
Mathematica Bohemica, 2004 Summary: Let \(G\) be a graph. A vertex subversion strategy of \(G\), say \(S\), is a set of vertices in~ \(G\) whose closed neighborhood is removed from~ \(G\). The survival-subgraph is denoted by \(G/S\). The neighbor-integrity of~ \(G\), NI\((G)\), is defined to be NI\((G) = \min _{S \subseteq V (G)} \{| S| + c (G/S)\}\), where~ \(S\) is any vertex ...
openaire +3 more sources
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Discrete Integrals and Axiomatically Defined Functionals
Axioms, 2012 Several discrete universal integrals on finite universes are discussed from an axiomatic point of view. We start from the first attempt due to B. Riemann and cover also most recent approaches based on level dependent capacities.
Erich Peter Klement, Radko Mesiar
doaj +1 more source