Results 31 to 40 of about 151 (45)

The Stability of Subdivision Operator [PDF]

open access: yes, 2001
We consider the univariate two-scale refinement equation. The paper analyzes the correlation between the existence of smooth compactly supported solutions of this equation and the convergence of the corresponding cascade algorithm/subdivision scheme.
Protassov, V. (Vladimir)
core   +1 more source

ENTIRE SOLUTIONS OF A FUNCTIONAL EQUATION OF PEXIDER TYPE

open access: yes, 2002
(2) I f(x + y)\ + Ig(x y)\ = \h(x + y ) | + | A ( i y)\ (cf. [1]). The purpose of this paper is to find all solutions of these equations. THEOREM 1. The only systems of entire solutions of (1) are the following f ( z ) = az + b /.χ g(z) = cz + d ν·) h(z)
W. Smajdor
semanticscholar   +1 more source

The stability of subdivision operator at its fixed point [PDF]

open access: yes, 2001
The paper analysis the correlation between the existence of smooth compactly supported solutions of the univariate two-scale refinement equation and the convergence of the corresponding cascade lgorithm/subdivision scheme.
Protassov, V. (Vladimir)
core  

A direct proof of a theorem of K. Baron [PDF]

open access: yes, 1995
In his work on the Gołąb-Schinzel equation, K. Baron shows a theorem concerning continuous complex-valued solutions, defined on thecomplex plane. In this note, we will give a direct proof of this theorem, which does not use the form of the general ...
Gebert, Holger
core   +1 more source

A Kannappan-cosine functional equation on semigroups [PDF]

open access: yes
In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g(xyz0) = g(x)g(y) − f(x)f(y), x,y∈S, where S is a semigroup and z0 is a fixed element in ...
Ajebbar, Omar   +2 more
core   +1 more source

Derivation pairs on rings and rngs [PDF]

open access: yes
We generalize a classical result about derivation pairs on function algebras. Specifically, we describe the forms of derivation pairs on rings and rngs (non-unital rings) which are not assumed to be commutative.
Ebanks, Bruce
core   +1 more source

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