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Browsing Auburn Theses and Dissertations by Author "Govil, Narendra"
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Atomic Characterization of L_1 And The Lorentz-Bochner Space L^X(p,1) for With Some Applications
Kermausuor, Seth Kwame (2016-12-09)
In the 1950s, G. G Lorentz introduced the spaces $\Lambda(\alpha)$ and $M(\alpha)$, for $0<\alpha<1$ and showed that the dual of $\Lambda(\alpha)$ is equivalent to $M(\alpha)$ in his paper titled 'Some New Functional ...
Development of Striae Distensae - A Mechanochemical Model
Hariharan, Aneesh (2007-05-15)
Striae distensae, otherwise known as stretch marks, are common skin lesions found
in a variety of clinical settings. They occur frequently during adolescence or pregnancy
when there is rapid tissue expansion, but may ...
A Generalization of Special Atom Spaces with Arbitrary Measure
Alfonso, Paul, Jr. (2010-12-08)
A brief historical account of the development of special atom spaces is presented followed
by the introduction of two new function spaces, A ( ; ) and B ( ; ), which are generalizations
of previous special atom spaces ...
Hardy space associated with flag-type singular integrals of three parameters
Long, Yang (2020-07-21) ETD File Embargoed
The main purpose of this thesis is to establish a Hardy space theory associated with the flag-type singular integrals on Euclidean space. This theory is a continuation of those the classical one parameter, product setting ...
Iteration Methods for Approximation of Solutions of Nonlinear Equations in Banach Spaces
Chidume, Chukwudi (2008-08-15)
The objective in this manuscript is to study some iterative methods used to approximate
solutions of nonlinear equations in Banach Spaces. In particular, we study a Halperntype
iterative scheme in relation to nonexpansive ...
Mathematics Enrichment through Accelerated Learning to improve Learning and Achievement for PreK-12 students in Alabama
Asogwa, Onyinye Rosemary (2023-12-11)
The most recent nationwide math scores for 13-year-olds in the US dropping to the lowest level in decades, including Alabama's placement at the bottom, as revealed by the 2019 nationwide NAEP assessment, highlight the ...
On the Growth of Polynomials and Entire Functions of Exponential Type
Harden, Lisa (2004-12-15)
Concerning the growth of a polynomial and its derivative, the following inequalities
are well known as Bernstein Inequalities.
max(|z|=R) |p(z)| <= max(|z|=1) |p(z)|R^n, for R >= 1, (1)
max(|z|=1) |p0(z)| <= max(|z|=1) ...
Prediction of light scattering by plane parallel media
Ramezan pour, Bahareh (2019-07-03)
The primary motivation of this research is to recognize and establish features of particle deposit reflectivity and absorptivity which have potential for remote detection and characterization of the deposit. In order to ...