Mersenne Matrix Operator and Its Application in Summable Sequence Space

S Demiriz, S Erdem - Communications in Advanced Mathematical …, 2024 - dergipark.org.tr
In this study, it is introduced the regular Mersenne matrix operator which is obtained by
using Mersenne numbers and examined sequence spaces described as the domain of this …

Absolute convergence with speed and matrix transforms

A Aasma, PN Natarajan - TWMS Journal of Applied and …, 2024 - belgelik.isikun.edu.tr
We define the notion of absolute convergence with speed, where the speed is defined by a
monotonically increasing positive sequence λ. Also we present the notion of absolute λ …

The Hahn sequence space generated by the Cesàro mean of order m

MY Savaşcı, F Başar - Acta Scientiarum Mathematicarum, 2024 - Springer
Abstract Hahn (Math Phys 32: 3–88, 1922) defined the sequence space h. The main
purpose of this study is to introduce the new Hahn sequence space h (C m) as the domain of …

The New Hahn Sequence Space via -Calculus

HB Ellidokuzoğlu, S Erdem, S Demiriz - … in Advanced Mathematical …, 2025 - dergipark.org.tr
In this paper, a novel generalized Hahn sequence space, denoted as h(C(p,q)), is
introduced by utilizing the (p,q)-Cesaro matrix. Fundamental properties of this sequence …