1Department of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 4, pp. 301-312
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Kuldip Raj; Sonali Sharma; Kuldip Raj; Sonali Sharma. On some characterizations of $\Delta$-deferred weighted statistical boundedness. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 4, pp. 301-312. http://geodesic.mathdoc.fr/item/AMUC_2023_92_4_a2/
@article{AMUC_2023_92_4_a2,
author = {Kuldip Raj and Sonali Sharma and Kuldip Raj and Sonali Sharma},
title = { On some characterizations of $\Delta$-deferred weighted statistical boundedness},
journal = {Acta mathematica Universitatis Comenianae},
pages = {301--312},
year = {2023},
volume = {92},
number = {4},
url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_4_a2/}
}
TY - JOUR
AU - Kuldip Raj
AU - Sonali Sharma
AU - Kuldip Raj
AU - Sonali Sharma
TI - On some characterizations of $\Delta$-deferred weighted statistical boundedness
JO - Acta mathematica Universitatis Comenianae
PY - 2023
SP - 301
EP - 312
VL - 92
IS - 4
UR - http://geodesic.mathdoc.fr/item/AMUC_2023_92_4_a2/
ID - AMUC_2023_92_4_a2
ER -
In this article, we intend to extend the investigation for statistical boundedness of sequences and study $\Delta$-deferred Cesàro and deferred Riesz statistical bounded sequences of order $\gamma$. Some interesting inclusion relations are presented. Further, with the aid of interesting examples, we investigate some relationships among these concepts. Some characterizations of $\Delta$-deferred weighted statistical boundedness are developed in this paper. Finally, we apply the notion of $\Delta$-deferred weighted statistical boundedness with a view to prove the decomposition theorem.