Modulated Lacunary Statistical and Strong-Cesàro Convergences

Abstract

Here, we continued the studies initiated by Vinod K. Bhardwaj and Shweta Dhawan which relate different convergence methods involving the classical statistical and the classical strong Cesàro convergences by means of lacunary sequences and measures of density in N modulated by a modulus function f. A method for constructing non-compatible modulus functions was also included, which is related to symmetries with respect to y=x.

Keywords

• modulated lacunary convergence
• modulated statistical convergence
• modulated strong-Cesàro convergence
• lacunary modulus function
• symmetries