Geodesic
A Note on the Definition of Bounded Variation of Higher Order for Double Sequences
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 563 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this study the definition of bounded variation of order $p$ ($p\in \mathbb N$) for double sequences is considered. Some inclusion relations are proved and counter examples are provided for ensuring proper inclusions.
Classification : 40B05
Keywords: double sequence of bounded variation, double sequence of bounded variation of order $p$ ($p\in \mathbb N$), double sequence of bounded variation of order $(p;0)$, double sequence of bounded variation of order $(0;p)$, double sequence of bounded variation of order $(p;p)$ 
@article{KJM_2020_44_4_a6,
     author = {Bhikha Lila Ghodadra and V. F\"ul\"op},
     title = {A {Note} on the {Definition} of {Bounded} {Variation} of {Higher} {Order} for {Double} {Sequences}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {563 },
     year = {2020},
     volume = {44},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a6/}
}
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Bhikha Lila Ghodadra; V. Fülöp. A Note on the Definition of Bounded Variation of Higher Order for Double Sequences. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 563 . http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a6/