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Article

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

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. https://doi.org/10.3390/axioms7030054

AMA Style

Gümüş H, Demir N. A New Type of Generalization on W—Asymptotically J λ—Statistical Equivalence with the Number of α. Axioms. 2018; 7(3):54. https://doi.org/10.3390/axioms7030054

Chicago/Turabian Style

Gümüş, Hafize, and Nihal Demir. 2018. "A New Type of Generalization on W—Asymptotically J λ—Statistical Equivalence with the Number of α" Axioms 7, no. 3: 54. https://doi.org/10.3390/axioms7030054

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