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Mohd Shoaib Khan,Izhar Uddin,Q.M. Danish Lohani 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.5
The Banach spaces m^p(ø) and n^p(ø) are very important sequence spaces related to l_p, which were defined to fill the gaps between l_p (1≤p≤∞). In this paper, we investigated the solubility of the infinite system of differential equations in m^p(ø) and n^p(ø) by proving related theorems. Moreover, one example has been included for the justification of the claim of this paper.
KHAN, MOHD SHOAIB,UDDIN, IZHAR,LOHANI, Q.M. DANISH The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.5
The Banach spaces $m^p(\phi)$ and $n^p(\phi)$ are very important sequence spaces related to $l_p$, which were defined to fill the gaps between $l_p(1{\leq}p{\leq}{\infty})$. In this paper, we investigated the solubility of the infinite system of differential equations in $m^p(\phi)$ and $n^p(\phi)$ by proving related theorems. Moreover, one example has been included for the justification of the claim of this paper.
New Lacunary Strong Convergence Difference Sequence Spaces Defined by Sequence of Moduli
KHAN, VAKEEL A.,LOHANI, Q. M. DANISH 대한수학회 2006 Kyungpook mathematical journal Vol.46 No.4
In this paper, we define △^(m)-Lacunary strongly convergent sequences defined by sequence of moduli and give various properties and inclusion relations on these sequence spaces.