Sunarsini Sunarsini
Departemen Matematika, Fakultas Matematika Komputasi Dan Sains Data, Institut Teknologi Sepuluh Nopember Surabaya

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Journal : International Journal of Computing Science and Applied Mathematics

Construction of Convergent Sequence in Cone 2-Normed Spaces Sadjidon Sadjidon; Mahmud Yunus; Sunarsini Sunarsini
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 1, No 1 (2015)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (46.168 KB) | DOI: 10.12962/j24775401.v1i1.1475

Abstract

We introduce an idea of convergent sequence in a cone 2-normed space. We show that the convergence in 2-normed spaces using the definition of 2-norm by considering its dual space. Then we construct the convergence in cone 2-normed space, particularly for l2-space.
Construction of Cone 2-Norm Associated with S-Cone Inner Product Sadjidon Sadjidon; Mahmud Yunus; Sunarsini Sunarsini; Lukman Hanafi
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 9, No 2 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.v9i2.18364

Abstract

This paper is devoted to discussing an inner product in cone normed spaces and constructing S-cone inner products to define S-cone inner product spaces, especially in ℓ2-space. Moreover, we also construct cone 2-norm spaces associated with S-cone inner product spaces.