Results 61 to 70 of about 153,653 (286)
Characterizations of derivations [PDF]
The main purpose of this work is to characterize derivations through functional equations. This work consists of five chapters. In the first one, we summarize the most important notions and results from the theory of functional equations. In Chapter 2 we
Gselmann, Eszter
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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
Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras
Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras ...
M. Eshaghi Gordji, Z. Alizadeh
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Distances are fundamental primitives whose choice significantly impacts the performances of algorithms in machine learning and signal processing. However selecting the most appropriate distance for a given task is an endeavor.
A Banerjee +25 more
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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
Isomorphisms and Derivations in Lie C*-Algebras
We investigate isomorphisms between C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the Cauchy–Jensen functional equation 2f((x+y/2)+z)=f(x)+f(y)+2f(z).
Choonkil Park, Jong Su An, Jianlian Cui
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Approximate multi-variable bi-Jensen-type mappings
In this study, we obtained the stability of the multi-variable bi-Jensen-type functional equation: n2fx1+⋯+xnn,y1+⋯+ynn=∑i=1n∑j=1nf(xi,yj).{n}^{2}f\left(\frac{{x}_{1}+\cdots +{x}_{n}}{n},\frac{{y}_{1}+\cdots +{y}_{n}}{n}\right)=\mathop{\sum }\limits_{i=1}
Bae Jae-Hyeong, Park Won-Gil
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Discontinuous gradient constraints and the infinity Laplacian [PDF]
Motivated by tug-of-war games and asymptotic analysis of certain variational problems, we consider a gradient constraint problem involving the infinity Laplace operator.
D. Rossi +3 more
core
NOTE ON JENSEN AND PEXIDER FUNCTIONAL EQUATIONS
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 ...
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Jensen’s and the quadratic functional equations with an endomorphism [PDF]
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
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