Geodesic
Ideal Relative Uniform Convergence of Double Sequence of Positive Linear Functions
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 697

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In this article, we look into the concept of ideal relative uniform convergence of a double sequence of functions. In addition, we define ideal relative uniform Cauchy and ideal regular relative uniform convergence of a double sequence of positive linear functions defined on a compact domain $D$ with respect to the scale function $\sigma(x)$ defined on $D$. We also introduced several classes of ideal relative uniform convergent double sequences of functions and investigated their algebraic and topological properties.
Classification : 40A30, 40A35, 40A99, 40B05, 46B45
Keywords: double sequence, density, ideal convergence, statistical convergence, relative uniform convergence, regular convergence 
Kshetrimayum Renubebeta Devi; Binod Chandra Tripathy. Ideal Relative Uniform Convergence of Double Sequence of Positive Linear Functions. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 697 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a3/
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     author = {Kshetrimayum Renubebeta Devi and Binod Chandra Tripathy},
     title = {Ideal {Relative} {Uniform} {Convergence} of {Double} {Sequence} of {Positive} {Linear} {Functions}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {697 },
     year = {2025},
     volume = {49},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a3/}
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