Title of article
Stability of a Jensen type equation in the space of generalized functions
Author/Authors
Jong-Ho Kim ?، نويسنده , , Yun-Sung Chung، نويسنده , , Soon-Yeong Chung، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
10
From page
114
To page
123
Abstract
We reformulate and solve the stability problem of a Jensen type functional equation
3f x +y + z
3 +f (x)+ f (y) +f (z)−2f x +y
2 − 2f y +z
2 −2f z +x
2 = 0,
in the spaces of some generalized functions such as tempered distributions and Fourier hyperfunctions.
© 2005 Elsevier Inc. All rights reserved
Keywords
Gauss transforms , Heat kernel , Jensen type equation , Generalized functions , Popoviciu inequality , stability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934701
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