DSpace Collection:http://hdl.handle.net/123456789/6832021-12-02T19:56:52Z2021-12-02T19:56:52ZOn Some Inequalities Involving Harmonic Mean and MomentsGUPTA, MADHUSHARMA, RAJESHSHARMA, S.R.http://hdl.handle.net/123456789/6892018-04-19T10:02:27Z2017-09-01T00:00:00ZTitle: On Some Inequalities Involving Harmonic Mean and Moments
Authors: GUPTA, MADHU; SHARMA, RAJESH; SHARMA, S.R.
Abstract: We derive bounds on the second order moment of a random
variable in terms of its arithmetic and harmonic means. Both discrete and
continuous cases are considered and it is shown that the present bounds provide
refinements of the bounds which exist in literature. As an application we
obtain a lower bound for the spread of a positive definite matrix A in terms
of traces of A, A-1 and A2. Our results compare favourably with those
obtained by Wolkowicz and Styan (Bounds for eigenvalues using traces,
Lin. Alg. Appl. 29, 471-506, 1980).2017-09-01T00:00:00ZOn χs-Orthogonal MatricesAARTHY, S.JAIKUMAR, K.SINDHU, K.http://hdl.handle.net/123456789/6882018-04-19T09:59:46Z2017-09-01T00:00:00ZTitle: On χs-Orthogonal Matrices
Authors: AARTHY, S.; JAIKUMAR, K.; SINDHU, K.
Abstract: In this paper we, introduced the concept of χs-orthogonal matrices
and extended some results of Abara et al, [3] in the context of secondary
transpose.2017-09-01T00:00:00ZBinet–Type Formula For The Sequence of Tetranacci Numbers by Alternate MethodsHATHIWALA, GAUTAMSSHAH, DEVBHADRA V.http://hdl.handle.net/123456789/6872018-05-17T14:52:02Z2017-09-01T00:00:00ZTitle: Binet–Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods
Authors: HATHIWALA, GAUTAMS; SHAH, DEVBHADRA V.
Abstract: AbstractThe sequence T{ }of Tetranacci numbers is defined by the
recurrence relation TT= + TT +4 T− n ; n ≥4 with initial condition
n 1 n− − n n2 3−
=T T =T =0 and T3 = 1. In this paper, we obtain the explicit formula –
Binet – type formula for Tn by two different methods. We use the concept of
eigen decomposition as well as of generating functions to obtain the result.2017-09-01T00:00:00ZEffect of Deformation on Semi–infinite Viscothermoelastic Cylinder Based on Five Theories of Generalized ThermoelasticitySHARMA, D. K.MITTAL, HIMANISHARMA, SITA RAMPARKASH, INDERhttp://hdl.handle.net/123456789/6862018-04-19T09:50:12Z2017-09-01T00:00:00ZTitle: Effect of Deformation on Semi–infinite Viscothermoelastic Cylinder Based on Five Theories of Generalized Thermoelasticity
Authors: SHARMA, D. K.; MITTAL, HIMANI; SHARMA, SITA RAM; PARKASH, INDER
Abstract: We consider a dynamical problem for semi-infinite
viscothermoelastic semi infinite cylinder loaded mechanically and thermally
and investigated the behaviour of variations of displacements, temperatures
and stresses. The problem has been investigated with the help of five theories
of the generalized viscothermoelasticity by using the Kelvin – Voigt model.
Laplace transformations and Hankel transformations are applied to equations
of constituent relations, equations of motion and heat conduction to obtain
exact equations in transformed domain. Hankel transformed equations are
inverted analytically and for the inversion of Laplace transformation we
apply numerical technique to obtain field functions. In order to obtain field
functions i.e. displacements, temperature and stresses numerically we apply
MATLAB software tools. Numerically analyzed results for the temperature,
displacements and stresses are shown graphically.2017-09-01T00:00:00Z