Showing papers by "Prasanna K. Sahoo published in 2000"
6 citations
Journal Article•
TL;DR: In this article, the Hyers-Ulam stability of the Davison functional equation f(xy) + f(x+y) = f (xy+x)+f(y) for a class of functions from a field (or a commutative algebra) of characteristic different from 2 and 3 was proved.
Abstract: We will prove the Hyers-Ulam stability of the Davison functional equation f(xy) + f(x+y) = f(xy+x) + f(y) for a class of functions from a field (or a commutative algebra) of characteristic different from 2 and 3 into a Banach space.
5 citations
01 Jan 2000
TL;DR: In all measures of information, the entropy f of a single event with probability p plays a fundamental role as mentioned in this paper, which is also known as the self information satisfies axioms of nonnegativity, additivity and maximality.
Abstract: In all measures of information, the entropy f of a single event with probability p plays a fundamental role. The entropy function f, which is also known as the self information satisfies axioms of nonnegativity, additivity and maximality, that is
$$ \begin{gathered} \left( a \right)\;f\left( p \right) \geqslant 0,\quad p \in \left] {0,1} \right[, \hfill \\ \left( b \right)f\left( {pq} \right) = f\left( p \right) + f\left( q \right),\quad p,q \in \left] {0,1} \right[, \hfill \\ \left( c \right)f\left( {\tfrac{1}{2}} \right) = 1. \hfill \\ \end{gathered} $$
1 citations