Some observations on generalized logarithmic statistical convergence of order ρ for difference sequences via ideals

Abstract

This paper explores various forms of logarithmic summability and statistical convergence for real sequences using generalized difference sequences and ideals. First, we introduce the concepts of logarithmic(triangle(m), I)-statistical convergence of order rho and logarithmic strong (triangle(m)(p) ,I)-Cesa`ro summability of order rho, analyzing their relationship. These notions are then extended to logarithmic triangle(m) (f, I)-statistical convergence of order rho and logarithmic strong triangle(m) (f, I)-Cesa`ro summability of order rho, with fundamental connections established.