On the New Hahn Sequence Space h(2).
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| Title: | On the New Hahn Sequence Space h(2). |
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| Authors: | Tuğ, Orhan1 (AUTHOR) orhan.tug@tiu.edu.iq, Fiorenza, Alberto1 (AUTHOR) fiorenza@unina.it |
| Source: | Abstract & Applied Analysis. 8/7/2025, Vol. 2025, p1-8. 8p. |
| Subjects: | Sequence spaces, Difference operators, Linear operators, Duality theory (Mathematics), Topological property |
| Abstract: | This paper investigates the properties and structural characteristics of the new Hahn sequence space defined by using the second‐order forward difference operator. First, we introduce the new Hahn sequence space:h2=x=xl∈ω:∑l=1∞l+1 Δ2xl<∞, liml→∞xl=0, of order two. Then, we show some topological properties of this new sequence space h(2), and calculate our new Hahn sequence space's alpha‐dual, beta‐dual, and gamma‐dual. Finally, we calculate some matrix transformations from the new Hahn sequence space h(2) into the space α=l1,l∞, c,c0, lr, h and from the space β=l1,l∞, c,c0, lp, h into the new Hahn sequence space h(2). [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | This paper investigates the properties and structural characteristics of the new Hahn sequence space defined by using the second‐order forward difference operator. First, we introduce the new Hahn sequence space:h2=x=xl∈ω:∑l=1∞l+1 Δ2xl<∞, liml→∞xl=0, of order two. Then, we show some topological properties of this new sequence space h(2), and calculate our new Hahn sequence space's alpha‐dual, beta‐dual, and gamma‐dual. Finally, we calculate some matrix transformations from the new Hahn sequence space h(2) into the space α=l1,l∞, c,c0, lr, h and from the space β=l1,l∞, c,c0, lp, h into the new Hahn sequence space h(2). [ABSTRACT FROM AUTHOR] |
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| ISSN: | 10853375 |
| DOI: | 10.1155/aaa/6726703 |
