Nonnegative Infinite Matrices that Preserve (p,q)-Convexity of Sequences

Abstract

This paper deals with matrix transformations that preserve the $(p,q)$-convexity of sequences. The main result gives the necessary and sufficient conditions for a nonnegative infinite matrix $A$ to preserve the $(p,q)$-convexity of sequences. Further, we give examples of such matrices for different values of $p$ and $q$.