The main objective of this paper is to establish several new lower and upper bounds for the functions $\sinh x/x$ $\cosh x$. Following simple approach, our results give refinements generalizations some known inequalities involving these functions.

In this paper, a new two-dimensional sine-cosine coupling chaos map(2D-SCCM) is proposed. The performance of the proposed chaotic system analysed by using trajectory distribution maps, Lyapunov exponents, sample entropy and sequence sensitivity, etc. results show that 2D-SCCM has better randomness ergodicity, as well wider hyperchaotic range than existing partial maps. To verify its application...

Vaccination is the best approach in curbing spread of a pandemic. However, during pandemic one challenge limited number vaccine due to manufacturing capacity and high demand. Therefore, optimal distribution needed ensure maximum effectiveness decreasing total infections population. In this paper, optimized using sine cosine algorithm improved with mutation (SCAmut). The SEIR model H1N1 2009 use...

In the work we estimate $\mathbb{L}^1$ norms of some special cosine and sine series used in studying fractional integrals.