In the paper, by virtue of an integral representation Dirichlet beta function, with aid a relation between function and Euler numbers, means monotonicity rule for ratio two definite integrals parameter, author finds increasing property logarithmic convexity functions sequences involving their ratios.

• Establishing necessary and sufficient conditions for the existence of an increasing quasi-concave value function consistent with preference information given by DM. Developing operational, tractable easy to use test checking a desirable function. Constructing linear non-linear functions. The is important issue in various fields including Economics, Multiple Criteria Decision Making, Applied M...

Correct estimation of water inflow into underground excavations can decrease safety risks and associated costs. Researchers have proposed different methods to asses this value. It has been proved that water transmissivity of a rock joint is a function of factors, such as normal stress, joint roughness and its size and water pressure therefore, a laboratory setup was proposed to quantitatively m...

correct estimation of water inflow into underground excavations can decrease safety risks and associated costs. researchers have proposed different methods to asses this value. it has been proved that water transmissivity of a rock joint is a function of factors, such as normal stress, joint roughness and its size and water pressure therefore, a laboratory setup was proposed to quantitatively m...