ôbjective: the problem of runaway girls is one of the social problems which has become more prevalent and is considered a serious challenge for families, welfare centers and governmental organizations in ïran. this study aimed at determining the demographic, personality and psychopathology characteristic of a sample of runaway girls in shiraz, ïran. methods: fifty girls who had escaped from the...

and Applied Analysis 3 Remark 1.5. If f x /x is increasing on I and 1.6 holds, then the Petrović-type functional P1 is nonnegative, that is, inequality 1.4 is valid. Conversely, if f x /x is increasing on I and conditions as in 1.7 are fulfilled, then relation 1.5 holds. In order to define another Petrović-type functional, we cite the following Petrović-type inequality involving a convex functi...

Let S be a finite set with some rank function r such that the Whitney numbers w i = I { x e S I r ( x ) = i}l are log-concave. Given k, me N so that Wk-1 < Wk <~ Wk+m, set W = w k + w k + 1 + "'" + Wk + ~" Generalizing a theorem of Kleitman and Milner, we prove that every F ~ S with cardinality IFI/> Whas average rank at least ( k w k + ... + (k + m)wk+m)/W, provided the normalized profile vect...

In the problem of the month 1999 : 106], one was to prove that p a + b ; c + p b + c ; a + p c + a ; b p a + p b + p c , where a, b, c are sides of a triangle. It is to be noted that this inequality will follow immediately from the Majorization Inequality 1]. Here, if A and B are vectors (a 1 a 2 : : : a n), we say that A majorizes B and write it as A B. Then, if F is a convex function, If F is...

holds. This double inequality is known in the literature as Hermite-Hadamard integral inequality for convex functions. Note that some of the classical inequalities for means can be derived from (1.1) for appropriate particular selections of the mapping f . Both inequalities hold in the reversed direction if f is concave. For some results which generalize, improve and extend the inequalities (1....

This article is devoted to highlighting the main concepts of social protection population. In particular, in today’s conditions Ukraine,the policy state, that is, its functions, should have a significant impact on well-being We are talking about analysis relationship between entrepreneurship and function state.&#x0D; It indicated state’s guarantee sphere country’s population connected with impl...

The aim of this work is to show a Berwald type inequality for the extremal universal integrals based on (α ,m) concave function. Some examples are given to illustrate the validity of these inequalities.

A variant of Jessen’s inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen’s inequality of Mercer’s type for convex functions. The result is used to refine some comparison inequalities of Mercer’s type between functional power means and between functional quasi-arithmetic means.

We give the proof of a tight lower bound on the probability that a binomial random variable exceeds its expected value. The inequality plays an important role in a variety of contexts, including the analysis of relative deviation bounds in learning theory and generalization bounds for unbounded loss functions.