Best approximation in quotient probabilistic normed space
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Mausumi Sen
Abstract
In this article, we study the best approximation in quotient probabilistic normed space. We define the notion of quotient space of a probabilistic normed space, then prove some theorems of approximation in quotient space are extended to quotient probabilistic normed space.
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Articles in the same Issue
- Frontmatter
- A note on properties of the restriction operator on Sobolev spaces
- Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth
- On a new proof and an extension of Jack’s lemma
- On the conjecture of Hayami and Owa concerning the class ℛ(α)
- The order of starlikeness of uniformly convex functions
- The Weyl–von Neumann theorem in von Neumann factors
- A remark on observability of the wave equation with moving boundary
- Best approximation in quotient probabilistic normed space
Articles in the same Issue
- Frontmatter
- A note on properties of the restriction operator on Sobolev spaces
- Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth
- On a new proof and an extension of Jack’s lemma
- On the conjecture of Hayami and Owa concerning the class ℛ(α)
- The order of starlikeness of uniformly convex functions
- The Weyl–von Neumann theorem in von Neumann factors
- A remark on observability of the wave equation with moving boundary
- Best approximation in quotient probabilistic normed space
