Results 31 to 40 of about 253 (65)
On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 229-236, 1995., 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
wiley +1 more source
Strongly barycentrically associative and preassociative functions [PDF]
, 2016 We study the property of strong barycentric associativity, a stronger version of barycentric associativity for functions with indefinite arities. We introduce and discuss the more general property of strong barycentric preassociativity, a generalization ...
Marichal, Jean-Luc, Teheux, Bruno
core +3 more sources
Advanced Nonlinear Studies, 2020 In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
doaj +1 more source
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 +26 more
core +2 more sources
Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces
Demonstratio Mathematica, 2019 In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional ...
Liu Yachai, Yang Xiuzhong, Liu Guofen
doaj +1 more source
Hyers-Ulam stability of quadratic forms in 2-normed spaces
Demonstratio Mathematica, 2019 In this paper, we obtain Hyers-Ulam stability of the functional ...
Park Won-Gil, Bae Jae-Hyeong
doaj +1 more source
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 +2 more
core +1 more source
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 +13 more
core +4 more sources
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
core +1 more source
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
core +2 more sources