Some power inequalities for the numerical radius based on recent Dragomir extension of Furuta's inequality are established. particular cases also provided. Moreover, we get an improvement H\"older-McCarthy operator in case when $r\geq 1$ and refine generalized involving powers sums products Hilbert space operators.

a finite element analysis is presented for sloshing and impulsive motion of liquid-filled conical tanks during lateral anti-symmetric excitation. the performed analyses led to the development of a number of charts which can be used to identify the natural frequency, the mode shapes of conical tanks for both fundamental and the cos(θ)-modes of vibration. conical tank geometry was described with ...

Finite edge radius plays a significant role in finish machining processes when the undeformed chip thickness is often less than a few hundred microns and comparable to the size of the cutting edge. At suboptimal cutting speeds, edge radius tools may induce deeper subsurface plastic deformation, increase microhardness through work-hardening and mostly due to the ploughing of the cutting edge. On...

Abstract. We study a factorization of bounded linear maps from an operator space A to its dual space A∗. It is shown that T : A −→ A∗ factors through a pair of a column Hilbert spaces Hc and its dual space if and only if T is a bounded linear form on A ⊗ A by the canonical identification equipped with a numerical radius type Haagerup norm. As a consequence, we characterize a bounded linear map ...

There was an attempt to find an analytic expression3, however that paper contains an error in the application of the boundary conditions. More recently, Gelmont and Shur4, found an analytic expression for very thin substrates and presented the result of a more general numerical solution. They showed that the formula above was inaccurate for the range of the ratio of substrate thickness to conta...

Abstract: In this paper, the transmission zero at s radius and the minimum phase radius of a linear time-invariant (LTI) system are introduced. The former radius gives a measure of how “near” a LTI system is from having a transmission zero at a specified point s ∈ C in the complex plane, and the latter radius measures how “near” a minimum phase system is to a nonminimum phase system. Formulas f...

bending analysis of multilayer graphene sheets (mlgss) subjected to non-uniform shear and normal tractions is presented. the constitutive relations are considered to be non-classical based on nonlocal theory of elasticity. based on the differential transformation method, numerical illustrations are carried out for circular and annular geometries. the effects of nano scale parameter, radius of c...