Open Access(V, λ)-ORDER SUMMABLE IN RIESZ SPACES
Author(s) -
Abdullah Aydın,
Muhammed Çınar,
Mikail Et
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.3-a04
Subject(s) - mathematics , order (exchange) , convergence (economics) , riesz potential , pure mathematics , focus (optics) , monotone polygon , physics , geometry , finance , optics , economics , economic growth
Statistical convergence is an active area, and it appears in a wide variety oftopics. However, it has not been studied extensively in Riesz spaces. There are a few studies about the statistical convergence on Riesz spaces, but they only focus on the relationship between statistical and order convergences of sequences in Riesz spaces. In this paper, we introduce the notion of (V, λ)-order summable by using the concept of λ- statistical monotone and the λ-statistical order convergent sequences in Riesz spaces. Moreover, we give some relations between (V, λ)-order summable and λ-statistical order convergence.