In this paper, we describe the sequence space b_p^(r,s) (D) originated by the composition of the Binomial matrix and generalized second order difference (triple band) matrix and indicate that the space b_p^(r,s) (D) is linearly isomorphic to the space l_p, where 1≤p<∞. Moreover, we obtain some inclusion relations and Schauder basis of the space b_p^(r,s) (D). We also pinpoint α-, β- and γ-duals of the space b_p^(r,s) (D). Finally, we classify some matrix classes related to the space b_p^(r,s) (D).
Primary Language | English |
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Subjects | Engineering |
Journal Section | Mathematics |
Authors | |
Publication Date | June 1, 2020 |
Published in Issue | Year 2020 Volume: 33 Issue: 2 |