Some new inequalities related to the invariant means and uniformly bounded function sequences Original Research Article

Agnew gave the necessary and sufficient conditions for the triangular regular matrices to yield View the MathML sourcelim supnG(An(F);D)≤lim supkG(fk;D) Turn MathJax on for all uniformly bounded real function sequences F=(fk)F=(fk). Recently, Duman studied some variants of this inequality by replacing the operator limsup with st-limsup. In this note, we present some new inequalities involving invariant means like the above mentioned results.