Results 31 to 40 of about 1,745 (271)
GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS
Bulletin of the Korean Mathematical Society, 2002 The generalized Hyers-Ulam-Rassias stability of the functional equation \[ 2^nf\biggl({{x_1+\dots+x_{2^n}}\over{2^n}}\biggr)=\sum_{i=1}^{2^n}f(x_i)\tag{1} \] is proved in Banach modules over a~unital \(C^{\ast}\)-algebra. The Hyers-Ulam-Rassias stability of algebra homomorphisms between Banach algebras associated with the functional equation (1) is ...
Bae, Jae-Hyeong, Park, Won-Gil
openaire +2 more sources
The Anatomical Record, EarlyView.Abstract Last year, we challenged the view that large‐bodied theropod dinosaurs such as Tyrannosaurus rex resembled primates in cognition and behavior, a proposition made by Herculano‐Houzel in 2023. More recently, Jensen et al. have criticized our work on this topic, raising methodological and conceptual issues.
Kai R. Caspar +5 more
wiley +1 more source
The Anatomical Record, EarlyView.Abstract Tyrannosaurus is viewed as a model organism in vertebrate paleontology, with numerous studies analyzing its feeding biomechanics. Nonetheless, the evolution of this feeding performance has been under‐addressed in Tyrannosauroidea, especially in basal tyrannosauroids. Here we used muscle‐force reconstruction and finite element analysis (FEA) to
Evan Johnson‐Ransom +4 more
wiley +1 more source
British Educational Research Journal, EarlyView.Abstract Academic misconduct appeal services have quietly emerged within China's education marketplace, with commercial agencies promoting themselves on social media to assist international students facing misconduct hearings. While existing research on academic integrity has emphasized prevention and detection, far less attention has been paid to what
Gengyan Tang +2 more
wiley +1 more source
NOTE ON JENSEN AND PEXIDER FUNCTIONAL EQUATIONS
Demonstratio Mathematica, 1999 The Jensen functional equation \[ 2f\left({x+y \over 2}\right) =f(x)+f(y) \tag{1} \] is solved in the case where \(f:M\to S\), \(M\) is an Abelian semigroup with the division by \(2,S\) is an abstract convex cone satisfying the cancellation law. The result when applied to a set-valued version of (1) (where \(f\) takes values from the set \(ccl(X)\) of ...
openaire +2 more sources
Jensen’s and the quadratic functional equations with an endomorphism [PDF]
Proyecciones (Antofagasta), 2017 We determine the solutions f : S → H of the generalized Jensen’s functional equation f (x + y) + f (x + φ(y)) = 2f (x), x,y ∈ S,and the solutions f : S → H of the generalized quadratic functional equation f (x + y) + f (x + φ(y)) = 2f (x) + 2f (y), x,y ∈ S,where S is a commutative semigroup, H is an abelian group (2-torsion free in the first ...
Sabour, KH, Kabbaj, S
openaire +2 more sources
Biological Reviews, EarlyView.ABSTRACT Among the vertebrates, mammals are notable for the dominance of live birth and placental nutrition. The structural diversity of the mammalian placenta is remarkable, despite sharing a single common ancestor and conserved physiological functions.
Davis Laundon +5 more
wiley +1 more source
On a modified version of Jensen inequality
Journal of Inequalities and Applications, 1999 The right-hand side of the Jensen inequality is multiplied by a constant and the related equation is considered. It is shown that every continuous solution of this equation is of the form for some , .
Szostok Tomasz
doaj
On Jensen’s and the quadratic functional equations with involutions [PDF]
Proyecciones (Antofagasta), 2017 We determine the Solutions f : S → H of the generalized Jensen’s functional equation f( x + σ(y)) + f( x + τ(y)) = 2f(x), x , y∈ Sand the solutions f : S → H of the generalized quadratic functional equationf ( x + σ(y)) + f (x + τ(y)) = 2f (x) + 2f (y), x, y ∈ S,where S is a commutative semigroup, H is an abelian group (2-torsion free in the first ...
Fadli, B. +3 more
openaire +3 more sources
The power of many: when genetics met yeasts and high‐throughput
Biological Reviews, EarlyView.ABSTRACT In recent years, complex technological capabilities have evolved, driven by the need to solve complex and integrative biological questions through global analyses. New equipment allows the scaling up and automation of processes which previously were carried out on a very limited scale.
Víctor A. Tallada, Víctor Carranco
wiley +1 more source