ρ-STATISTICAL CONVERGENCE DEFINED BY A MODULUS FUNCTION OF ORDER (α,β)

Abstract

The concept of strong w [ρ, f, q] −summability of order (α, β) for sequences of complex (or real) numbers is introduced in this work. We also give some inclusion relations between the sets of ρ-statistical convergence of order (α, β), strong wαβ [ρ, f, q] −summability and strong wαβ (ρ, q) −summability.

Keywords

• Ces`aro summability
• modulus function
• statistical convergence.

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