Given a real bounded sequence $x=(x_{j})$ and an infinite matrix $A=(a_{nj})$ Knopp core theorem is equivalent to study the inequality $limsup{Ax} ≤ limsup{x}.$ Recently Fridy Orhan [6] have considered some variants of this by replacing $limsup{x}$ with statistical limit superior $st - limsup{x}$. In present paper we examine similar type inequalities employing power series method $P$; non-matri...

The limit equilibrium model, used in displacement discontinuity codes, is a popular method to simulate pillar failure. This paper investigates the use of physical modelling calibrate this model. For experiments, an artificial material was prepared and cubes were poured using standard 100 mm χ civil engineering concrete moulds. friction angle between platens testing machine varied by soap sandpa...