Lacunary statistical convergence of order beta in difference sequences of fuzzy numbers

2015/09/15 by Hıfsı Altınok, Altinok, Hifsi, Damla Yağdiran +1
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1509.04529

openalex publication_date 2015/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we define the spaces N_θ^β( p,F,Δ^m) , S_θ^β( F,Δ^m) , w_p^β( F,Δ^m) for sequences of fuzzy numbers using generalized difference operator Δ^m and a lacunary sequence θ and give some relations between them, where β∈ ( 0,1] and p>0. Furthermore, in the last section of paper, some inclusion theorems are presented related to the spaces S_θ^β( F,Δ^m) and w_p^β( θ,f,F,Δ^m) according to modulus function f.

Citations

• On Certain Sequence Spaces

Related

• f-Statistical Convergence of order β for Sequences of Fuzzy Numbers
• Generalized difference Cesaro sequence spaces of fuzzy real numbers defined by Orlicz functions
• New class of sequences of fuzzy numbers defined by modulus function and generalized weighted mean
• λ-statistical convergent function sequences in intuitionistic fuzzy normed spaces
• Fibonacci Statistical Convergence on Intuitionistic Fuzzy Normed Spaces