Nörlund statistical convergence and Tauberian conditions for statistical convergence from statistical summability using Nörlund means in non-Archimedean fields

Jemima, D. Eunice; Srinivasan, V. K.

doi:10.22436/jmcs.024.04.02

Cited by 4 publications

(3 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section, we study deferred N örlund statistically probability convergence, for a historical review and basic concept we refer [3,4,11,15,20,12,18,9,5,13,26].…”

Section: Deferred N öRlund Statistically Probability Convergencementioning

confidence: 99%

Deferred Nörlund statistical convergence in probability, mean and distribution for sequences of random variables

Raj¹,

Jasrotia²

2023

J. Nonlinear Sci. Appl.

View full text Add to dashboard Cite

We introduce and study deferred N örlund statistical convergence in probability, mean of order r, distribution and study the interrelation among them. Based upon the proposed method to illustrate the findings, we present new Korovkin-type theorems for the sequence of random variables via deferred N örlund statistically convergence and present compelling examples to demonstrate the effectiveness of the results.

show abstract

“…In this section, we study deferred N örlund statistically probability convergence, for a historical review and basic concept we refer [3,4,11,15,20,12,18,9,5,13,26].…”

Section: Deferred N öRlund Statistically Probability Convergencementioning

confidence: 99%

Deferred Nörlund statistical convergence in probability, mean and distribution for sequences of random variables

Raj¹,

Jasrotia²

2023

J. Nonlinear Sci. Appl.

View full text Add to dashboard Cite

show abstract

“…In this section, we study deferred Nörlund statistically probability convergence, for a historical review and basic concept we refer [3], [4], [10], [12], [19] [9], [15], [23], [16], [17] and [27].…”

Section: Deferred Nörlund Statistically Probability Convergencementioning

confidence: 99%

Deferred Norlund statistical convergence in probability, mean and distribution for sequences of random variables

Raj¹,

Jasrotia²,

Saadati³

2022

Preprint

View full text Add to dashboard Cite

We introduce and study deferred Nörlund statistical convergence in probability, mean of order r, distribution and study the interrelation among them. Based upon the proposed method to illustrate the findings, we presented new Korovkin type theorems for the sequence of random variables via deferred Nörlund statistically convergence and present compelling examples to demonstrate the effectiveness of the results.2010 Mathematics Subject Classification. 40A05, 40A30.

show abstract

“…D, Srinivasan. V [13] worked on statistical convergence in Non-archimedean fields. For a general reference on Ultrametric analysis, the book is [14].…”

Section: Introductionmentioning

confidence: 99%

Some Results of Generalized Weighted Norlund-Euler-<img src=image/13428701_01.gif> Statistical Convergence in Non-Archimedean Fields

E¹,

Suja²

2023

View full text Add to dashboard Cite

Non-Archimedean analysis is the study of fields that satisfy the stronger triangular inequality, also known as ultrametric property. The theory of summability has many uses throughout analysis and applied mathematics. The origin of summability methods developed with the study of convergent and divergent series by Euler, Gauss, Cauchy and Abel. There is a good number of special methods of summability such as Abel, Borel, Euler, Taylor, Norlund, Hausdroff in classical Analysis. Norlund, Euler, Taylor and weighted mean methods in Non-Archimedan Analysis have been investigated in detail by Natarajan and Srinivasan. Schoenberg developed some basic properties of statistical convergence and also studied the concept as a summability method. The relationship between the summability theory and statistical convergence has been introduced by Schoenberg. The concept of weighted statistical convergence and its relations of statistical summability were developed by Karakaya and Chishti. Srinivasan introduced some summability methods namely y -method, Norlund method and Weighted mean method in p -adic Fields. The main objective of this work is to explore some important results on statistical convergence and its related concepts in Non-Archimedean fields using summability methods. In this article, Norlund-Euler-λ statistical convergence, generalized weighted summability using Norlund-Euler-λ method in an Ultrametric field are defined. The relation between Norlund-Euler-λ statistical convergence and Sta-tistical Norlund-Eulerλ summability has been extended to non-Archidemean fields. The notion of Norlund-Euler-λ statistical convergence and inclusion results of Norlund-Euler statistical convergent sequence has been characterized. Further the relation between Norlund-Euler-λ statistical convergence of order α & β has been established.

show abstract

Nörlund statistical convergence and Tauberian conditions for statistical convergence from statistical summability using Nörlund means in non-Archimedean fields

Cited by 4 publications

References 12 publications

Deferred Nörlund statistical convergence in probability, mean and distribution for sequences of random variables

Deferred Nörlund statistical convergence in probability, mean and distribution for sequences of random variables

Deferred Norlund statistical convergence in probability, mean and distribution for sequences of random variables

Some Results of Generalized Weighted Norlund-Euler-<img src=image/13428701_01.gif> Statistical Convergence in Non-Archimedean Fields

Contact Info

Product

Resources

About