Academic Journal of Applied Mathematical Sciences

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

Quarterly Published (4 Issues Per Year)





Archives

Volume 5 Number 6 June 2019

The Fekete-Szegö Problem for the Logarithmic Function of the Starlike and Convex Functions


Authors: Nizami Mustafa ; Muherrem C. Gündüz
Pages: 69-75
DOI: doi.org/10.32861/ajams.56.69.75
Abstract
In this paper, we discuss the Fekete-Szegö functional   which is defined by coefficients of the function   for the analytic and univalent function .......................


The Real Representation of Canonical Hyperbolic Quaternion Matrices and Its Applications


Authors: Minghui Wang ; Lingling Yue ; Situo Xu ; Rufeng Chen
Pages: 62-68
DOI: doi.org/10.32861/ajams.56.62.68
Abstract
In this paper, we construct the real representation matrix of canonical hyperbolic quaternion matrices and give some properties in detail. Then, by means of the real representation, we study linear equations, the inverse and the generalized inverse of the canonical hyperbolic quaternion matrix and get some interesting results.

Econometric Estimation of Production Function with Applications


Authors: Awoingo Adonijah Maxwell ; Isaac Didi Essi
Pages: 57-61
DOI: doi.org/10.32861/ajams.56.57.61
Abstract
This study focuses on Monte Carlo Methods in parameter estimation of production function. The ordinary least square (OLS) method is used to estimate the unknown parameters. The Monte Carlo simulation methods are used for the data generating process.  The Cobb-Douglas production model with multiplicative error term is fitted to the data generated. From tables 1.1 to 1.3, the mean square error (MSE) of 1 are 0.007678, 0.001972 and 0.001253 respectively for sample sizes 20, 40 and 80.  Our finding showed that the mean square error (MSE) value varies with the sum of the powers of the input variables.