526 citations · 1.1k across the 12 of their papers we have counts for
4 papers · 1 filter
Sine functions on hypergroups
Żywilla Fechner, László Székelyhidi
In a recent paper we introduced sine functions on commutative hypergroups. These functions are natural generalizations of those functions on groups which are products of additive a…
Characterization of Classes of Polynomial Functions
J. M. Almira, L. Székelyhidi
In this paper some classes of local polynomial functions on abelian groups are characterized by the properties of their variety. For this characterization we introduce a numerical…
Local polynomials and the Montel Theorem
J. M. Almira, L. Székelyhidi
In this paper local polynomials on Abelian groups are characterized by a "local" Fréchet-type functional equation. We apply our result to generalize Montel's Theorem and to obtain…
Satbility of Ternary Homomorphisms via Generalized Jensen Equation
Mohammad Sal Moslehian, Laszlo Szekelyhidi
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(\f…