Title of article :
Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences
Author/Authors :
Chen، نويسنده , , Jeng-Chung and Sato، نويسنده , , Ryotaro، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2010
Abstract :
We prove ratio limit theorems for ( C , γ ) -means ( γ ⩾ 0 ) and Abel means of functions and sequences in Banach spaces, and ratio Tauberian theorems for ( C , γ ) -means ( γ ⩾ 1 ) and Abel means of functions and sequences in Banach lattices.
Keywords :
Abel mean , Ratio limit theorem , ?-Cesàro mean , Ratio Tauberian theorem
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications