A study of the matrix classes (ℓα, ℓα) and (ℓα, c), 0
Serdica Mathematical Journal, Tome 48 (2022) no. 4, pp. 211-218
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
In this paper, entries of sequences, infinite series and infinite matrices are real or complex numbers. The present paper is a continuation of [8], where we established some properties of the matrix class \((\ell_\alpha, \ell_\alpha)\), \(0 < \alpha \leq 1\). In this paper, we also record some properties of the class \((\ell_\alpha, c)\) and the sequence space \(\ell_\alpha\), \(0 < \alpha \leq 1\).
Keywords:
A-transform, α-norm, α-normed linear space, convex, semigroup, convolution product, 40C05, 40H05
@article{SMJ2_2022_48_4_a0,
author = {Natarajan, Pinnangudi Narayanasubramanian},
title = {A study of the matrix classes (\ensuremath{\ell}\ensuremath{\alpha}, \ensuremath{\ell}\ensuremath{\alpha}) and (\ensuremath{\ell}\ensuremath{\alpha}, c), 0 },
journal = {Serdica Mathematical Journal},
pages = {211--218},
year = {2022},
volume = {48},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2022_48_4_a0/}
}
Natarajan, Pinnangudi Narayanasubramanian. A study of the matrix classes (ℓα, ℓα) and (ℓα, c), 0. Serdica Mathematical Journal, Tome 48 (2022) no. 4, pp. 211-218. http://geodesic.mathdoc.fr/item/SMJ2_2022_48_4_a0/