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Axioms 2018, 7(3), 54; https://doi.org/10.3390/axioms7030054

A New Type of Generalization on W—Asymptotically J λ—Statistical Equivalence with the Number of α

1
Department of Math Education, Faculty of Eregli Education, Necmettin Erbakan University, Konya 42060, Turkey
2
İkizli Middle School, Konya 42060, Turkey
*
Author to whom correspondence should be addressed.
Received: 19 June 2018 / Revised: 30 July 2018 / Accepted: 31 July 2018 / Published: 2 August 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications)
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Abstract

In our paper, by using the concept of Wasymptotically J statistical equivalence of order α which has been previously defined, we present the definitions of Wasymptotically Jλstatistical equivalence of order α, Wstrongly asymptotically Jλstatistical equivalence of order α, and Wstrongly Cesáro asymptotically Jstatistical equivalence of order α where 0<α1. We also extend these notions with a sequence of positive real numbers, p=(pk), and we investigate how our results change if p is constant. View Full-Text
Keywords: ?-statistical convergence; asymptotic equivalence; set sequences; λ=(λn) sequence ?-statistical convergence; asymptotic equivalence; set sequences; λ=(λn) sequence
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Gümüş, H.; Demir, N. A New Type of Generalization on W—Asymptotically J λ—Statistical Equivalence with the Number of α. Axioms 2018, 7, 54.

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