by: Admin_LouisPosted on:

If \(f : X \mapsto R\) be a linear functional defined on a linear space X, then f is a \(\hspace{1.0cm}\) function.

If \(f : X \mapsto R\) be a linear functional defined on a linear space X, then f is a \(\hspace{1.0cm}\) function.

—>> convex

concave

divergent

convergent

Related posts:

  1. The space of all bounded sequence of real(or complex) is called \(\hspace{1.0cm}\).
  2. A nonempty subset C of the vector space X is convex if and only if C contains all \(\hspace{1.0cm}\) of all its elements.
  3. Let \(1 \leq p \leq + \infty\) . If for arbitrary \(x = \{x_k\}, y = \{y_k\} in \(l_p\) and \(\lambda \in K\), define vector addition and scalar multiplication componentwise then \(l_p\) is a \(\hspace{1.0cm}\) space.
  4. Let X be a linear space, and \(x, y \in X\). The x, y joining x and y is defined x, y = \(\{\lambda x + (1- \lambda)y: 0 \leq \lambda \leq 1\}\).

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