Bessel statistical convergence: New concepts and applications in sequence theory

IS Ibrahim, MA Yousif, PO Mohammed, D Baleanu… - PloS one, 2024 - journals.plos.org
This research introduces novel concepts in sequence theory, including Bessel convergence,
Bessel boundedness, Bessel statistical convergence, and Bessel statistical Cauchy …

Statistical deferred Nörlund summability and Korovkin-type approximation theorem

HM Srivastava, BB Jena, SK Paikray - Mathematics, 2020 - mdpi.com
The concept of the deferred Nörlund equi-statistical convergence was introduced and
studied by Srivastava et al.[Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A Mat.(RACSAM) …

Characterization of summing operators in multiplier spaces of deferred Nörlund summability

K Raj, SA Mohiuddine, S Jasrotia - Positivity, 2023 - Springer
We aim to investigate and study vector-valued multiplier spaces with reference to the
sequences of continuous linear operators among normed spaces and deferred Nörlund …

[HTML][HTML] On various new concepts of statistical convergence for sequences of random variables via deferred Cesàro mean

BB Jena, SK Paikray, H Dutta - Journal of Mathematical Analysis and …, 2020 - Elsevier
The paper aims to introduce and investigate various aspects of statistical convergence for
sequences of random variables as well as for sequences of real numbers via deferred …

Statistical probability convergence via the deferred Nörlund mean and its applications to approximation theorems

HM Srivastava, BB Jena, SK Paikray - Revista de la Real Academia de …, 2020 - Springer
The notion of deferred weighted statistical probability convergence has recently attracted the
wide-spread attention of researchers due mainly to the fact that it is more general than the …

[PDF][PDF] Relatively equi-statistical convergence via deferred Nörlund mean based on difference operator of fractional-order and related approximation theorems

BB Jena, SK Paikray, SA Mohiuddine, VN Mishra - Aims Math, 2020 - aimspress.com
In the proposed paper, we have introduced the notion of point-wise relatively statistical
convergence, relatively equi-statistical convergence and relatively uniform statistical …

[PDF][PDF] Product of statistical probability convergence and its applications to Korovkin-type theorem

BB Jena, SK Paikray - Miskolc Math. Notes, 2019 - academia.edu
In the present work, we introduce and study the notion of statistical probability convergence
for sequences of random variables as well as the concept of statistical convergence for …

[HTML][HTML] Statistical Riemann and Lebesgue integrable sequence of functions with Korovkin-type approximation theorems

HM Srivastava, BB Jena, SK Paikray - Axioms, 2021 - mdpi.com
In this work we introduce and investigate the ideas of statistical Riemann integrability,
statistical Riemann summability, statistical Lebesgue integrability and statistical Lebesgue …

[PDF][PDF] A general form for precise asymptotics for complete convergence under sublinear expectation

X Ding - AIMS Mathematics, 2022 - aimspress.com
Let {Xn, n≥ 1} be a sequence of independent and identically distributed random variables in
a sublinear expectation (Ω, H, ̂E) with a capacity V under ̂E. In this paper, under some …

[PDF][PDF] Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations

MZ Xu, XH Kong - AIMS Math, 2023 - aimspress.com
Note on complete convergence and complete moment convergence for negatively dependent
random variables under sub-linear expectat Page 1 http://www.aimspress.com/journal/Math …