Studia Mathematica: Recent submissions
Wyświetlanie pozycji 201-206 z 206
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On the stability of the generalized cosine functional equations
(2001)The aim of this paper is to study the stability problem of the generalized cosine functional equations for complex and vector valued functions. -
On a Banach space automorphism and its connections to functional equations and continuous nowhere differentiable functions
(2001)Denote by $ℋ$ the Banach space of functions $φ : ℝ → ℝ$ which are continuous, 1-periodic and even. It turns out that $F : ℋ → ℋ$, given by \[F[φ](x) := \sum_{k=0}^∞ 1/2^kφ(2^kx),\] is a Banach space automorphism. Important ... -
D'Alembert's functional equation and Chebyshev polynomials
(2001)We consider D’Alembert’s functional equation (1) where the domain of the function $f$ is the additive group of the integers and the codomain is an arbitrary commutative ring with identity. We show that if $f(0) = 1$ then ... -
General continuous solution of a nonlinear functional inequality
(2001)In this paper we present theorems on the existence of continuous solutions of the functional inequality (1) in the case where the continuous solution of the corresponding functional equation (2) is not unique. -
Ternary semigroups of linear mappings and matrices
(2001)Following the classical Green’s equivalences we examine, by means of some equivalence relations, the structure of the ternary semigroup of linear mappings. The suitable results for the ternary semigroup of matrices are ... -
Annales Academiae Paedagogicae Cracoviensis. 4. Studia Mathematica 1
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2001)