منابع مشابه
Approximately cubic functional equations and cubic multipliers
* Correspondence: abasalt. [email protected] Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran Full list of author information is available at the end of the article Abstract In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic m...
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In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$ is orthogonality in the sense of Ratz.
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A tricirculant is a graph admitting a non-identity automorphism having three cycles of equal length in its cycle decomposition. A graph is said to be symmetric if its automorphism group acts transitively on the set of its arcs. In this paper it is shown that the complete bipartite graph K3,3, the Pappus graph, Tutte’s 8-cage and the unique cubic symmetric graph of order 54 are the only connecte...
متن کاملA classification of cubic bicirculants
The well-known Petersen G(5, 2) admits a semi-regular automorphism α acting on the vertex set with two orbits of equal size. This makes it a bicirculant. It is shown that trivalent bicirculants fall into four classes. Some basic properties of trivalent bicirculants are explored and the connection to combinatorial and geometric configurations are studied. Some analogues of the polycirculant conj...
متن کاملCubic-quartic functional equations in fuzzy normed spaces
In this paper, we investigate the generalizedHyers--Ulam stability of the functional equation
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ژورنال
عنوان ژورنال: Lietuvos matematikos rinkinys
سال: 2018
ISSN: 2335-898X,0132-2818
DOI: 10.15388/lmr.b.2018.7