On Smarandache's Podaire Theorem

A few remarks on Smarandache's Podaire Theorem

On an inequality for the Smarandache function

Our aim is to shmv that certain results from om recent paper can be obtained in a simpler way from a generalization of relation . On the other hand, by the method of Le we can deduce similar, more complicated inequalities of type

On certain new inequalities and limits for the Smarandache function

On certain new inequalities and limits for the Smarandache function

On Certain Arithmetic Functions

In the recent book there appear certain arithmetic functions which are similar to the Smarandache function. In a recent paper we have considered certain generalization or duals of the Smarandache function. In this note we wish to point out that the arithmetic functions introduced all are particular cases of our function Fj, defined in the following manner

The Smarandache minimum and maximum functions

This papers deals with the introduction and preliminary study of the Smarandache minimum and maximum functions

On the Irrationality of Certain Constants Related to the Smarandache Function

Let S(n) be the Smarandache function

ON CERTAIN INEQUALITIES INVOLVING THE SMARANDACHE FUNCTION

The Smarandache function satisfies certain elementary inequalities which have importance in the deduction of properties of this (or related) functions. We quote here the following relations which have appeared in the Smarandache Function Journal