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Academic Journal of Applied Mathematical Sciences

Online ISSN: 2415-2188
Print ISSN: 2415-5225

Quarterly Published (4 Issues Per Year)

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Volume 2 Number 6 June 2016

The Relationship between GDP and Co2 Emission in Nigeria Using the Least Square Polynomials

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Authors: Bright O. Osu ; Chidi U. Okonkwo ; Rosemary N.Ujumadu
Pages: 51-55
Abstract

Nigeria belongs to the group of Next Eleven (N-11), which is a group of 11 countries identified by the investment bank Goldman Sachs in 2007 as having high potential of becoming the world’s largest economies in the 21st century. There is a need to determine how it can attain economic growth while conserving energy and reducing emission. This paper looks at the relationship between GDP and CO₂ emission in the light of the Environmental Kuznet Curve (EKC). The method of least square polynomials was employed. The results obtained aligned with the EKC hypothesis.

Hahn-Banach, Sandwich and Separation Theorems for Invariant Functionals with Values in Ordered Vector Spaces and Applications to Nonlinear Vector Programming

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Authors: A. Boccuto
Pages: 45-50
Abstract

We give a direct proof of Hahn-Banach and sandwich-type theorems in the setting of convex subinvariant functionals, and a result of separation of convex sets by means of an invariant affine manifold. As consequences and applications, we give some conditions for an optimal solution of minimization problems, proving a Farkas and a Kuhn-Tucker-type theorem.