Bounds for the Ratios of Differences of Power Means in Two Arguments

Using methods from classical analysis, sharp bounds for the ratio of differences of Power Means are obtained. Our results generalize and extend previous ones due to S. Wu(2005), and to S. Wu and L. Debnath.Comment: 1 figur

Partial Fraction Expansions for Newton's and Halley's Iterations for Square Roots

When Newton's method, or Halley's method is used to approximate the $p${th} root of $1-z$, a sequence of rational functions is obtained. In this paper, a beautiful formula for these rational functions is proved in the square root case, using an interesting link to Chebyshev's polynomials. It allows the determination of the sign of the coefficients of the power series expansion of these rational functions. This answers positively the square root case of a proposed conjecture by Guo(2010).Comment: 10 page

CRITICAL SUCCESS FACTORS THAT INFLUENCING SAFETY PROGRAM PERFORMANCE IN MALAYSIAN CONSTRUCTION PROJECTS: CASE STUDIES

The construction industry is characterized as one with a poor safety culture globally. To achieve better site safety performance, emphasis has been placed on implementing effective safety programs. The main aim of this paper is to identify the Critical Success Factors that influencing safety program performance in Malaysian construction projects. In order to accomplish the aim of this study, the following objective was taken into consideration which is to study the factors contributing to the success of implementing safety program in construction projects. The study was carried out within Penang and Kedah States; it was basically focused on the respondents who involve in construction. Of 40 sets questionnaires were distributed, only 36 sets questionnaire returned and analyzed. After all the raw data obtained, the data were then inputted and analyzed with the software of Statistical Package for the Social Sciences (SPSS, version 17). The results of this study showed that good communication shall be treated as the most important factor, followed by clear and realistic goals, safety committee/safety officer, sufficient resource allocation and continuous participation of employee. On the other hand, work load/pressure was perceived as the least important factors. Apparently, these five factors have been given appropriate consideration in the construction sites and should be implied if it is not emphasized in construction industry in Malaysia.CSFs; Safety programme, Construction projects, Malaysia

On isogeny classes of Edwards curves over finite fields

We count the number of isogeny classes of Edwards curves over finite fields, answering a question recently posed by Rezaeian and Shparlinski. We also show that each isogeny class contains a {\em complete} Edwards curve, and that an Edwards curve is isogenous to an {\em original} Edwards curve over \F_q if and only if its group order is divisible by 8 if $q \equiv -1 \pmod{4}$, and 16 if $q \equiv 1 \pmod{4}$. Furthermore, we give formulae for the proportion of d \in \F_q \setminus \{0,1\} for which the Edwards curve $E_d$ is complete or original, relative to the total number of $d$ in each isogeny class.Comment: 27 page

An Inequality for Bounded Functions

In this note we prove optimal inequalities for bounded functions in terms of their deviation from their mean. These results extend and generalize some known inequalities due to Thong (2011) and Perfetti (2011)Comment: 7 page