, Piyush Kumar tripathi

Abstract-- In [4], the definition of product summability method ( ) ( ) for functions was given and some of its properties were investigated. In [2], ( ) ( ) (k> 0,α> 0, β> −1) summability for functions are defined and some of its properties were investigated. In [1], the Ces ̇ro means and Ces ̇ro summability were discussed for sequences. In this paper, we study some results of Ces ̇ro mean of product summability ( ) ( ) (k> 0, α> 0, β> −1) of ordinary differential equations in sequences. I