ISO-INVARIANT MEAN AND ASSOCIATED CORE THEOREMS

In this paper,a new type of invariant mean “µ-limit” is introduced and a new set of some specific bounded sequences is determined by using a bijective shift operator µ where µ−1 of each term of a sequence of this set is present in the same sequence so that µ-limits of these sequences can be evaluated. Using this µ , some new matrix summability methods are developed that are applied here as matrix transformations on the aforesaid sequences to generate new sublinear functionals which can form new Iµ-core of sequences. Lastly some important Iµ-core theorems are established in our main results by showing inequalities between sublinear functionals used in Knopps core and Iµ-core itself .