Zobrazeno 1 - 10
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pro vyhledávání: '"secondary 39b52"'
Autor:
Baza, Abderrahman, Rossafi, Mohamed
In this work, we prove the generalised Hyer Ulam stability of the following functional equation \begin{equation}\label{Eq-1} \phi(x)+\phi(y)+\phi(z)=q \phi\left(\sqrt[s]{\frac{x^s+y^s+z^s}{q}}\right),\qquad |q| \leq 1 \end{equation} and $s$ is an odd
Externí odkaz:
http://arxiv.org/abs/2408.10225
Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} \phi(x+y, z+w)+\phi(x-y, z-w)-2 \phi(x, z)-2 \phi(x, w)=0 \end{equation} in modular space satisfying the Fatou property or $\
Externí odkaz:
http://arxiv.org/abs/2406.15436
Publikováno v:
Semigroup Forum 100 (3) (2020) 743-764
We investigate classifications of quasitrivial semigroups defined by certain equivalence relations. The subclass of quasitrivial semigroups that preserve a given total ordering is also investigated. In the special case of finite semigroups, we addres
Externí odkaz:
http://arxiv.org/abs/1811.11113
Autor:
Devillet, Jimmy, Teheux, Bruno
We characterize the associative, idempotent, symmetric, and order-preserving operations on (finite) chains in terms of properties of (the Hasse diagram of) their associated semilattice order. In particular, we prove that the number of associative, id
Externí odkaz:
http://arxiv.org/abs/1805.11936
Autor:
Leonetti, Paolo, Tringali, Salvatore
Publikováno v:
Journal of Number Theory, Vol. 174 (May 2017), pp. 445-455
Let $\mathcal{P}({\bf N})$ be the power set of $\bf N$. An upper density (on $\bf N$) is a non\-decreasing and subadditive function $\mu^\ast: \mathcal{P}({\bf N})\to\bf R$ such that $\mu^\ast({\bf N}) = 1$ and $\mu^\ast(k \cdot X + h) = \frac{1}{k}
Externí odkaz:
http://arxiv.org/abs/1510.07473
In this paper, we generalize the Mazur--Ulam theorem in the fuzzy real n-normed strictly convex spaces.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/0909.5675
Consider a_1,a_2,...,a_n, arbitrary elements of R. We characterize those real functions f that decompose into the sum of a_j-periodic functions, i.e., f=f_1+...+f_n with D_{a_j}f(x):=f(x+a_j)-f(x)=0. We show that f has such a decomposition if and onl
Externí odkaz:
http://arxiv.org/abs/math/0703382
Autor:
Mirzavaziri, M., Moslehian, M. S.
Publikováno v:
Bull. Braz. Math. Soc. 37 (2006), no.3, 361-376
Using the fixed point alternative theorem we establish the orthogonal stability of quadratic functional equation of Pexider type $f(x+y)+g(x-y)=h(x)+k(y)$, where $f, g, h, k$ are mappings from a symmetric orthogonality space to a Banach space, by ort
Externí odkaz:
http://arxiv.org/abs/math/0512007
Autor:
Moslehian, Mohammad Sal
Publikováno v:
Bull. Braz. Math. Soc. 38 (2007), no. 4, 611-622
In this paper, we establish the generalized Hyers--Ulam--Rassias stability of $C^*$-ternary ring homomorphisms associated to the Trif functional equation \begin{eqnarray*} d \cdot C_{d-2}^{l-2} f(\frac{x_1+... +x_d}{d})+ C_{d-2}^{l-1}\sum_{j=1}^d f(x
Externí odkaz:
http://arxiv.org/abs/math/0511539
Publikováno v:
Results in Math, 49 (2006), 289--300
In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/math/0511540