#### Earthline Journal of Mathematical Sciences

Journal Information
EISSN: 25818147
Total articles ≅ 250

#### Latest articles in this journal

Published: 27 January 2023
Earthline Journal of Mathematical Sciences, Volume 12, pp 27-52; https://doi.org/10.34198/ejms.12123.2752

Abstract:
Ampadu [1] introduced quantile generated probability distributions as a new way to generate continuous distributions. Combining this idea with the two-parameter Kumaraswamy (Kw) distribution, for example, see Wikipedia contributors [15], this paper introduces a so-called (GKw) $q_T-X$ class of distributions, and obtains some of their structural properties. Practicality of sub-models of this new class of distributions is shown to be effective in modeling real life data. Practicality to various disciplines is proposed as further investigation. A bivariate extension of this new class of distribution is also proposed, and the reader is asked to investigate its properties and applications.
Yisa Oluwatoyin Anthonio, Kamilu Rauf, Abdullai Ayinla Abdurasid, Oluwaseun Raphael Aderele
Published: 27 January 2023
Earthline Journal of Mathematical Sciences, Volume 12, pp 13-26; https://doi.org/10.34198/ejms.12123.1326

Abstract:
Opial inequality was developed to provide bounds for integral of functions and their derivatives. It has become an indispensable tool in the theory of mathematical analysis due to its usefulness. A refined Jensen inequality for multivariate functions is employed to establish new Opial-type inequalities for convex functions of several variables on time scale.
Hussein A. Neamah, Khalid Sh. Al’Dzhabri
Published: 11 January 2023
Earthline Journal of Mathematical Sciences, Volume 11, pp 361-373; https://doi.org/10.34198/ejms.11223.361373

Abstract:
The outtopological digraph space, a novel topological constraint imposed by a subbasis, is introduced in this work. A subbasis $\overleftarrow{\textrm{I}}^{\alpha}_{\underset{\cdot}{e}}$ is a set contains one vertex such that the edge ẹ is outdegree of it. As a result, various theorems have been established. A characterization and some examples are provided to describe this new structure.
Bağdagül Kartal
Published: 11 January 2023
Earthline Journal of Mathematical Sciences, Volume 12, pp 1-12; https://doi.org/10.34198/ejms.12123.112

Abstract:
This study gets a new general theorem related to necessary and sufficient conditions for $\varphi-{\mid D,\beta;\delta\mid}_{k}$ summability of the series $\sum a_n \lambda_n$ whenever the series $\sum a_n$ is summable $\varphi-{\mid C,\beta;\delta\mid}$, where $C=(c_{nv})$ and $D=(d_{nv})$ are two positive normal matrices, $k\geq 1$, $\delta\geq 0$ and $-\beta(\delta{k}+k-1)+k > 0$.
Hussein R. Jaffer, Khalid Sh. Al’Dzhabri
Published: 20 December 2022
Earthline Journal of Mathematical Sciences, Volume 11, pp 343-359; https://doi.org/10.34198/ejms.11223.343359

Abstract:
In this paper, we introduce new approximation operators such as first lower approximation and first upper approximation of a sub undirected graph ƕ ⊆ Ω by using incident edges system and non-incident edges system respectively. Some properties of these concepts are investigated. In addition the first accuracy of lower and upper approximation operators are introduced and some of its characteristics are studied.
Yüksel Soykan
Published: 15 December 2022
Earthline Journal of Mathematical Sciences, Volume 11, pp 317-342; https://doi.org/10.34198/ejms.11223.317342

Abstract:
In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo sequences as special cases of the generalized Leonardo sequence. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences. Furthermore, we show that there are close relations between modified p-Leonardo, p-Leonardo-Lucas, p-Leonardo numbers and Fibonacci, Lucas numbers.
Yüksel Soykan
Published: 15 December 2022
Earthline Journal of Mathematical Sciences, Volume 11, pp 317-342; https://doi.org/10.34198//ejms.11223.317342

Abstract:
In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo sequences as special cases of the generalized Leonardo sequence. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences. Furthermore, we show that there are close relations between modified p-Leonardo, p-Leonardo-Lucas, p-Leonardo numbers and Fibonacci, Lucas numbers.
Hussein A. Neamah, Khalid Sh. Al’Dzhabri
Published: 6 December 2022
Earthline Journal of Mathematical Sciences, Volume 11, pp 303-316; https://doi.org/10.34198/ejms.11223.303316

Abstract:
This work introduces a novel topological constraint called the intopological digraph space imposed by a subbasis contains one vertice such that the edge ẹ is indegree of it and investigates some properties of this structure. Our objective is to provide a crucial first step in the study of some of the characteristics of digraphs by utilizing the appropriate topology.
Mohamet Diop, Abou Moussa Sow, Mouhamadou Fofana, Bédié Mbow, Dior Samb
Published: 27 November 2022
Earthline Journal of Mathematical Sciences, Volume 9, pp 177-188; https://doi.org/10.34198/ejcs.9223.177188

Abstract:
Chemical investigation of the brown-colored tunicate Cystodytes sp. yielded six pyridoacridine alkaloids, including the known metabolites arnoamine C (1), styelsamine C (2), cystodytin B (3), E (4) and G (5) and the new compound, cystodytin L (6). Their chemical structures were established on the basis of combination of [α]D, physical and spectroscopic methods 1D and 2D NMR, in addition to mass spectrometry and comparison with literature data. The absolute configuration of C-12 in compounds 4-6 was identified as R by electronic circular dichroism (ECD) spectroscopy coupled with time-dependent density functional theory calculations.
Nneka Karen Enumah, Hezekiah Seun Adewinbi
Published: 27 November 2022
Earthline Journal of Mathematical Sciences, Volume 11, pp 287-302; https://doi.org/10.34198/ejms.11223.287302

Abstract:
This paper employs the symmetric GARCH and the asymmetric GJR-GARCH(1,1) and E-GARCH(1,1) models to explain the dynamics of the PLN/EUR and PLN/USD exchange rates in Poland for the periods of January 2015 to July 2022. The result of our study shows that the USD rate is more susceptible to market fluctuations and events than the EUR rate. Additionally, both rates' volatility persists after a market crisis for a while, with the EUR rate taking longer until volatility subsides. Using the Akaike information criterion and Bayesian information criterion, we find the E-GARCH model to be the best model out of all three models considered.