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The present study deals with the derivation of some new companions of Hadamard's inequality of fractional type by means of generalised convex functions, viz. h-convex functions, s-convex functions and also by co-ordinated h-convex functions on a rectangle from the plane R2.
In this paper, we define the concepts of interval val ued (∈ vq)-fuzzy subgroups and interval valued (∈ vq) fuzzy normal subgroups and discuss their properties.
The problem of laminar fluid flow which results from the stretching of a flat surface in a nanofluid has been obtained using the Adomian Decomposition Method. The model used for the nanofluid was presented in its rectangular form. The model is considered in a porous medium and incorporates the magnetic effect, thermal radiation effect and the effect of Brownian motion and thermophoresis. A similar...
In this paper, we establish the relationship between Opial-type and Hardy-type integral inequalities which extend Anthonio and Rauf Opial-type inequalities for convex function.
In this paper, we prove the existence of an extremal functionthat minorizes all admissible functions with zero supremum ona non-toric Fano manifold, namely the complex GrassmannianG2,4(C) blown up along P1(C). The functions considered areinvariant under a suitably chosen automorphism group. Thislower bound allows us to calculate the Tian invariant for this classof functions on these manifolds. Mor...
This paper present a multiple form of Fourier regression analysis.This model consist of one periodic response variable and severalindependent variables decompose into periodic componentsin order to have an uncorrelated predictors series. Ordinaryleast square and maximum likelihood methods of obtaining theparameters of the model was proved, the estimators are shownto be unbiased, variance of the es...
This paper derives the weighted energy equality for the linear nonautonomous stokes problem. This is a part of the process of solving Navier-Stokes equations to exclude the pressure term before it is determined in which function space solution (u,p) lies. A correction term vφ is introduced when the pressure term is excluded in the Navier-Stokes system and the energy estimate is computed; because t...
In this paper, a numerical method for the solution ofIntegro-differential equations is discussed. The variationaliteration method (VIM), which is a modified general Lagrange multiplier method is employed to solve differenttypes of integro-differential equations. The results revealedthat the VIM is very effective, simple and is of high accuracy for solving higher-order integro-differential equation...
In this paper, a four-step block Method for numerical solution of second order differential equations using Legendre polynomials as the basic function is developed. Interpolation and collocation procedures are used by choosing interpolation points at s = 2 steps points using power series, while collocation points at r = k step points, using a combination of power series and perturbation term gotte...
In this work, the performances of maximum likelihood (ML) and restricted maximum likelihood (REML) estimation of linear mixed effects models were examined. The behaviors andProperties of the ML and REML methods of estimating the variance-covariance components in linear mixed-effects models were studied via Monte-Carlo experiment. Results revealedthat both estimation techniques yielded the same est...
