<b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566

oleh: Binod Chandra Tripathy, Shyamal Debnath

Format: Article
Diterbitkan: Universidade Estadual de Maringá 2013-01-01

Deskripsi

<p class="aresumo">The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces <em>c<sup>F</sup></em>(<em>f,</em>Λ,Δ<em><sub>m</sub></em>,<em>p</em>), (<em>f,</em>Λ,Δ<em><sub>m</sub></em>,<em>p</em>) and (<em>f</em>,Λ,Δ<em><sub>m</sub></em><sub>,</sub><em>p</em>) of fuzzy numbers associated with the multiplier sequence Λ= (λ<sub>k</sub>) defined by a modulus function <em>f</em>. We study some of their properties like solidity, symmetricity, completeness etc. and prove some inclusion results.</p> <p class="akeyword"> </p>