Mathematics - Scholarly Publications
https://ir.oauife.edu.ng/handle/123456789/5489
2020-09-25T19:43:32ZOn the Radius of Starlikeness and Convexity of Certain Subclass of Analytic Functions
https://ir.oauife.edu.ng/handle/123456789/3474
On the Radius of Starlikeness and Convexity of Certain Subclass of Analytic Functions
Makinde, D. O.; Opoola, T. O.
In this paper, we investigate the radius of starlikeness and convexity of the function f(z)
2011-01-01T00:00:00ZA Characterization of Analyticity Using Cauchy Integral Formula
https://ir.oauife.edu.ng/handle/123456789/3473
A Characterization of Analyticity Using Cauchy Integral Formula
Makinde, D. O.
In this paper, we obtain a general characterization of analyticity of function of a complex variable using Cauchy integral formula.
2010-01-01T00:00:00ZOn a Certain Integral Univalent Operator
https://ir.oauife.edu.ng/handle/123456789/3470
On a Certain Integral Univalent Operator
Makinde, D. O.
In this paper, author proves some properties of a certain integral operator.
2011-01-01T00:00:00ZConstruction of Higher Orthogonal Polynomials through a New Inner Product <.,.>p in a Countable Real Lp-space
https://ir.oauife.edu.ng/handle/123456789/3501
Construction of Higher Orthogonal Polynomials through a New Inner Product <.,.>p in a Countable Real Lp-space
Oyadare, 'Femi O.
This research work places a new and consistent inner product <.,.>p on a countable family of the real Lp function spaces, proves generalizations of some of the inequalities of the classical inner product for <.,.>p provides a construction of a species of Higher Orthogonal Polynomials in these inner-product-admissible function spaces, and ultimately brings us to a study of the Generalized Fourier Series Expansion in terms of these polynomials. First, the reputation of this new inner product is established by the proofs of various inequalities and identities, all of which are found to be generalizations of the classical inequalities of functional analysis. Thereafter two orthogonalities of <.,.>p which coincide at p = 2) are defined while the Gram-Schmidt orthonormalization procedure is considered and lifted to accommodate this product, out of which emerges a set of higher orthogonal polynomials in Lp{-1, 1} that reduce to the Legendre Polynomials at p = 2. We argue that this inner product provides a formidable tool for the investigation of Harmonic Analysis on the real Lp function spaces for p other than p = 2, and a revisit of the various fields where the theory of inner product spaces is indispensable is recommended for further studies.
2005-01-01T00:00:00Z