In this paper, the authors prove that the double inequalities hold for all a, b > 0 with if and only if α1 ≤ 1/2, β1 ≥ 3/5,α2 ≤ 1/3 and β2 ≥1/2.Here T(a, b),T [A(a, b), G(a, b)],H(a, b) and G(a, b) are the Toader, Toader-type, harmonic and geometric means of a and b , respecti...
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Research Article10.9734/ARJOM/2018/43093
The objectives of this paper is to investigate the Cauchy problem of the type ( ℒx)(t) x(t) – p(ṫ )x(t) = f(t). x(a) = α, tϵ[a, b] and to establishes the necessary and sufficient conditions for it solvability if the matrix are sum able. Thus the above equations can be re w...
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Research Article10.9734/ARJOM/2018/40551
Based on the concept of group representation theory, new representations can be generated by direct product (or tensor product) of any two representations of a group. In such case, their irreducible representations are also the direct product. But the conditions under which these...
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Research Article10.9734/ARJOM/2018/43157
Current treatment for HIV infection consists of Highly Active Antiretroviral (ART) therapy. However, lack of adherence to ART treatment has hampered the bene ts of the ART treatment strategy and viral load suppression. Most of the treatment models studied so far do not explicitly...
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Research Article10.9734/ARJOM/2018/42830
Aims/ Objectives: To study the dissipation of solutions for a plate equation Methodology: energy method, Fourier analysis. Results: The energy estimate and decay estimates of solutions are obtained. Conclusion: The dissipative term has effect on the decay of solutions and the dis...
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Research Article10.9734/ARJOM/2018/42918
Throughout the history of art, the methods used to analyze the form of artwork have become important in this regard; they have focused on important aspects such as easier learning methods and better critique of artwork. In this regard, modern and contemporary art seems to require...
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Research Article10.9734/ARJOM/2018/42277
This paper utilizes perturbation and asymptotic techniques to discuss and obtain, analytically, the buckling modes and buckling load of a harmonically imperfect column lying on an elastic foundation that has cubic – quintic nonlinearity. Two slightly different approaches are here...
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Research Article10.9734/ARJOM/2018/42333
The dynamic analysis of prestressed rectangular plate with general boundary conditions and under partially distributed loads moving at varying velocities is investigated in this paper. A procedure involving the generalized two-dimensional integral transform with beam functions as...
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Research Article10.9734/ARJOM/2018/42518
This study considered the effects of outliers on the identification of heteroscedasticity in the daily closing share price returns series of Diamond Bank, Fidelity Bank and Skye bank using correlogram, Ljung-Box test and Lagrange Multiplier test. The data were obtained from Niger...
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Research Article10.9734/ARJOM/2018/42517
This article addresses the squeezing nanofluid flow between two parallel plates under the influence of magneto hydrodynamics (MHD) and thermal radiation. One of the plates is fixed and the other is kept stretched. In this study water is considered as a base fluid. Heat and mass t...
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Research Article10.9734/ARJOM/2018/42092
The a:k:m-Fibonacci sequences and the a:k:m-Lucas sequences are introduced. The well-known k-Fibonacci and k-Lucas sequences become a particular case (a=m=1). One might be interested to meet the equally famous Jacobsthal sequence at 2,1. Our brief results capture the most impor...
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Research Article10.9734/ARJOM/2018/42293
Corrigendum for Asian Research Journal of Mathematics 6(2), 1-9, 2017 It has been drawn to the journal's attention that there is a corrigendum of the published paper. Therefore, following the 'SDI Correction and retraction policy' this Corrigendum was processed and approved....
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Research Article10.9734/ARJOM/2018/39964
In this paper a ring means a commutative ring with identity element and S is a multiplicatively closed subset of the studied ring whose elements are regular. Inspiring from the work of J. Arnold about strongly finite type rings and D. E. Rush's about noetherian spectrum rings, we...
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Research Article10.9734/ARJOM/2018/41715
This research aims at using the Newton’s finite forward differences interpolation and Matlab program to analyze the data of effective substance for hyper blood pressure. The researchers followed applied mathematical methods due to its suitability for such researches, namely Newto...
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Research Article10.9734/ARJOM/2018/41712
The dynamic response of non-uniformly prestressed thick beam under distributed moving load travelling at varying velocity is investigated in this paper. In order to obtain solution to the dynamical problem, a technique based on the method of Galerkin with the series representatio...
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Research Article10.9734/ARJOM/2018/41327