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Sep 23, 2021Open    Access

GGA + U Approximation: An Improved Density Functional Theory of Optical Properties of CaH2

Uko Ofe, Anthony Lordson Amana, Nsed A. Akonjom
In this paper, the optical properties of CaH2, in orthorhombic structure, with space group, , in crystal system (Co2Si-type) have been investigated carefully. The theoretical milieu of the correlation between the dielectric function with other optical constants has been investigated. The real and the imaginary parts of the dielectric function have besides, been inspected accurately. The outcome of the exchange correlation potentials implemented (GGA and GGA U) to the abso...
Open Access Library J.   Vol.8, 2021
Doi:10.4236/oalib.1107293


Dec 24, 2019Open    Access

Fixed Point Theorem for Meir-Keeler Type Function in b2-Metric Spaces

Zhuoyi Tian, Jinxing Cui, Linan Zhong
In this paper, we prove fixed point theorems of a generalization which is related to the concept of Meir-Keeler function in a complete b2-metric space. And we know it extends and generalizes some known results in metric space to b2-metric space.
Open Access Library J.   Vol.6, 2019
Doi:10.4236/oalib.1105973


Aug 29, 2019Open    Access

The Power Integrations of Trigonometric and Hyperbolic Functions

Ahmed M. Ali, Omar M. Abd-Alkanee
For importance of the trigonometric integrals, we have in this paper finding a series of power, some of trigonometric functions that did not exist before in the first section. As shown in the Section two, where, the integration of trigono-metric function with power n has been achieved and approved, this result is considered as the first achievement. while in the third section we find integrals
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Open Access Library J.   Vol.6, 2019
Doi:10.4236/oalib.1105618


Oct 25, 2017Open    Access

On Markov Moment Problem and Mazur-Orlicz Theorem

Octav Olteanu, Janina Mihaela Mihaila
Applications of the generalization of Mazur-Orlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between Mazur-Orlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlie
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Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1103950


Jun 23, 2016Open    Access

Proofs of the Density Theorem and Fatou’s Radial Limit Theorem Using the Poisson Integral

John Marafino
Using only the Poisson integral and elementary convergence theorems, we prove the well-known Density theorem and Fatou’s radial limit theorem.
Open Access Library J.   Vol.3, 2016
Doi:10.4236/oalib.1102732


Mar 24, 2014Open    Access

On Convexity and Approximating the Perimeter of an Ellipse

Octav Olteanu
In the first part of this work, a convex partition of a compact subset is constructed. Minimum-length surrounding curve and minimum-area surrounding surfaces for a compact set are constructed too. In the second part, one writes the perimeter of an ellipse as the sum of an alternate series. On the other hand, we deduce related “sandwich” inequalities for the perimeter, involving Jensen’s inequality and logarithmic function respectively. We discuss the values of the ordinate of the gravity center ...
Open Access Library J.   Vol.1, 2014
Doi:10.4236/oalib.1100332


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