Results 31 to 40 of about 246 (58)

On extension of solutions of a simultaneous system of iterative functional equations [PDF]

, 2009
Some sufficient conditions which allow to extend every local solution of a simultaneous system of equations in a single variable of the form \[ \varphi(x) = h (x, \varphi[f_1(x)],\ldots,\varphi[f_m(x)]),\] \[\varphi(x) = H (x, \varphi[F_1(x)],\ldots ...
Janusz Matkowski
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Preassociative aggregation functions [PDF]

, 2014
The classical property of associativity is very often considered in aggregation function theory and fuzzy logic. In this paper we provide axiomatizations of various classes of preassociative functions, where preassociativity is a generalization of ...
B. Bacchelli, C. Alsina, C.H. Ling, E.P. Klement, G. Beliakov, J. Aczél, J. Fodor, J.-L. Marichal, M. Couceiro, M. Couceiro, M. Grabisch, R. Craigen, R.R. Yager, T. Calvo   +13 more
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On the local and global comparison of generalized Bajraktarevi\'c means [PDF]

, 2017
Given two continuous functions $f,g:I\to\mathbb{R}$ such that $g$ is positive and $f/g$ is strictly monotone, a measurable space $(T,A)$, a measurable family of $d$-variable means $m: I^d\times T\to I$, and a probability measure $\mu$ on the measurable ...
Amr Zakaria, Bajraktarević, Bajraktarević, Berrone, Berrone, Bessenyei, Bhatia, Czinder, Czinder, Czinder, Daróczy, Gini, Hardy, Leach, Leach, Losonczi, Losonczi, Losonczi, Losonczi, Losonczi, Neuman, Páles, Páles, Páles, Páles, Stolarsky, Zsolt Páles   +26 more
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On a type of exponential functional equation and its superstability in the sense of Ger [PDF]

, 2013
In this paper, we deal with a type exponential functional equation as follows $$f(xy)=f(x)^{g(y)},$$ where $f$ and $g$ are two real valued functions on a commutative semigroup.
Alimohammady, M., Sadeghi, A., Sousaraei, A.   +2 more
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Hardy inequalities for p-Laplacians with Robin boundary conditions

, 2014
In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best constant equals $((p-1)/p)^p$ whenever Dirichlet boundary conditions are ...
Ekholm, Tomas, Kovarik, Hynek, Laptev, Ari   +2 more
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Almost automorphic solutions of discrete delayed neutral system

, 2015
We study almost automorphic solutions of the discrete delayed neutral dynamic system% \[ x(t+1)=A(t)x(t)+\Delta Q(t,x(t-g(t)))+G(t,x(t),x(t-g(t))) \] by means of a fixed point theorem due to Krasnoselskii.
Adıvar, Murat, Koyuncuoglu, H. Can
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Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art [PDF]

, 2009
We present an overview of the meaningful aggregation functions mapping ordinal scales into an ordinal scale. Three main classes are discussed, namely order invariant functions, comparison meaningful functions on a single ordinal scale, and comparison ...
Marichal, Jean-Luc, Mesiar, Radko
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Bethe Equation of $\tau^{(2)}$-model and Eigenvalues of Finite-size Transfer Matrix of Chiral Potts Model with Alternating Rapidities

, 2008
We establish the Bethe equation of the $\tau^{(2)}$-model in the $N$-state chiral Potts model (including the degenerate selfdual cases) with alternating vertical rapidities.
Albertini G, Au-Yang H, Au-Yang H, Baxter R J, Baxter R J, Baxter R J, Fabricius K, Fabricius K, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Shi-shyr Roan, von Gehlen G, von Gehlen G, von Gehlen G   +20 more
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The Q-operator for Root-of-Unity Symmetry in Six Vertex Model

, 2006
We construct the explicit $Q$-operator incorporated with the $sl_2$-loop-algebra symmetry of the six-vertex model at roots of unity. The functional relations involving the $Q$-operator, the six-vertex transfer matrix and fusion matrices are derived from ...
Albertini G, Baxter R J, Baxter R J, Bethe H A, Deguchi T, Fabricius K, Fabricius K, Fabricius K McCoy B M, Karowski M, Korepanov I G, Korff C, Roan S S, Roan S S, Roan S S, Shi-shyr Roan   +14 more
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Bisymmetric and quasitrivial operations: characterizations and enumerations [PDF]

, 2018
We investigate the class of bisymmetric and quasitrivial binary operations on a given set $X$ and provide various characterizations of this class as well as the subclass of bisymmetric, quasitrivial, and order-preserving binary operations.
Devillet, Jimmy
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