On translativity of absolute Rogosinski-Bernstein summability methods

Abstract

The paper is concerned with the problem of translativity of an absolute Rogosinski-Bernstein summability methods (Bh); 0≦h≦1. The paper contains two results that when h; 12≦h≦1, |Bh| is translative and when h; (0<h<12), then |Bh| is not translative neither to the left nor to the right.

Keywords

• absolute summability
• Rogosinski-Bernstein methods
• sequence-to-sequence transformation
• absolutely regular
• translative.