Stability of the entropy equation

被引：0

作者：

Tabor J. ^{[1
]}

机构：

[1] Institute of Mathematics, Jagiellonian University, PL-30-059 Kraków

[2] Institute of Mathematics, University of Rzeszów, PL-35-310 Rzeszów

来源：

aequationes mathematicae | 2005年 / 69卷 / 1-2期

关键词：

Entropy; Functional equation; Stability;

D O I：

10.1007/s00010-003-2707-5

中图分类号：

学科分类号：

摘要：

Let X be a Banach space. We prove the stability of the functional equation L (∑j=13kjf(pj)) = ∑j=1 3kjg(pj) for 0 ≤pj ≤ 1 kj ∈ ℕ0 = ℕ ∪ {o}, ∑j=13kjpj = 1, where f : [0,1] → X and L : ℝ+ → X are unknown continuous functions satisfying some additional conditions. As a corollary we obtain a generalization of the results of Z. Dudek. © Birkhäuser Verlag, Basel, 2005.

引用

页码：76 / 82

页数：6