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All published articles 500

Identifying Minimum Effective Dose Under Heteroscedasticity

Michael J. Adjabui, Jakperik Dioggban & Irene D. Angbing · Asian Research Journal of Mathematics · 2021

We propose a stepwise confidence procedure for identifying minimum effective dose (MED) without multiplicity adjustment.Stepwise procedures strongly control the familywise error rate (FWER) which is a critical requirement for statistical methodologies in identification of MED. Th...

Open access Research Article 10.9734/arjom/2021/v17i430292

Modelling Bubble Lifetime of Thin Film Surfactants Solution on Fuel Spillage

Shitakha Felistus, Kimathi George & Songa Caroline · Asian Research Journal of Mathematics · 2021

Aims / Objectives: To find the lifetime of the bubble by plotting the rate of mass flow rate change against time. Place and Duration of Study: Department of Mathematics and Applied Science, Catholic University of Eastern Africa, Nairobi, Kenya, between February 2020 and March 202...

Open access Research Article 10.9734/arjom/2021/v17i430291

Certain Subclass of Bi-univalent Functions Defined by Sălăgean Differential Operator Related with Horadam Polynomials

Dhirgam Allawy Hussein · Asian Research Journal of Mathematics · 2021

The goal of this paper is to introduce and investigate a new subclass   of bi-univalent functions using  the Horadam polynomials and Sălăgean differential operator. Furthermore, coefficient estimates are given for   and Fekete-Szegő inequalities for this subclass are obtained.

Open access Research Article 10.9734/arjom/2021/v17i430290

Non-negative Integer Power of a Hyponormal m-isometry is Reflexive

Pradeep Kothiyal, Rajesh Kumar Pal & Deependra Nigam · Asian Research Journal of Mathematics · 2021

Sarason did pioneer work on reflexive operator and reflexivity of normal operators, however, he did not used the word reflexive but his results are equivalent to say that every normal operator is reflexive. The word reflexive was suggested by HALMOS and first appeared in H. Rajda...

Open access Research Article 10.9734/arjom/2021/v17i430288

Generalized Weierstrass Integrability of a Class of Second-order Nonlinear Differential Equations

Xin Zhao & Yanxia Hu · Asian Research Journal of Mathematics · 2021

The generalized Weierstrass integrability of a class of second-order nonlinear differential equations is considered. The conditions of existence and the corresponding expressions of generalized Weierstrass inverse integrating factors of the second-order nonlinear differential equ...

Open access Research Article 10.9734/arjom/2021/v17i330286

Connections on Valuated Binary Tree and Their Applications in Factoring Odd Integers

Xingbo Wang, Jinfeng Luo, Ying Tian & Li Ma · Asian Research Journal of Mathematics · 2021

This paper makes an investigation on geometric relationships among nodes of the valuated binary trees, including parallelism, connection and penetration. By defining central lines and distance from a node to a line, some intrinsic connections are discovered to connect nodes betwe...

Open access Research Article 10.9734/arjom/2021/v17i330287

Lattices and the Geometry of Numbers

Sourangshu Ghosh · Asian Research Journal of Mathematics · 2021

In this paper we discuss about properties of lattices and its application in theoretical and algorithmic number theory.  This result of Minkowski regarding the lattices initiated the subject of Geometry of Numbers, which uses geometry to study the properties of algebraic numbers....

Open access Research Article 10.9734/arjom/2021/v17i330284

A Study on Sum Formulas of Generalized Hexanacci Numbers: Closed Forms of the Sum Formulas ∑n k=0 xkWk and ∑nk=1 xkW−k

Yüksel Soykan · Asian Research Journal of Mathematics · 2021

In this paper, closed forms of the sum formulas ∑n k =0 xkWk and ∑n k=1 xkW-k for generalized Hexanacci numbers are presented. As special cases, we give summation formulas of Hexanacci, Hexanacci-Lucas, and other sixth-order recurrence sequences.

Open access Research Article 10.9734/arjom/2021/v17i330285

Analytical Solution of a Non-isothermal Flow in Cylindrical Geometry

Chinedu Nwaigwe & Innocent Uchenna Amadi · Asian Research Journal of Mathematics · 2021

This study proposes analytical solution to the problem of transport in a Newtonian fluid within a cylindrical domain. The flow is assumed to be dominated along the channel axis, and is taken to be axi-symmetric. No-slip boundary condition is considered for velocity while the temp...

Open access Research Article 10.9734/arjom/2021/v17i330283

Comparative Modelling of Price Volatility in Nigerian Crude Oil Markets Using Symmetric and Asymmetric GARCH Models

Deebom Zorle Dum, Mazi Yellow Dimkpa, Chims Benjamin Ele, Richard Igbudu Chinedu & George Laurretta Emugha · Asian Research Journal of Mathematics · 2021

The study aimed at developing an appropriate GARCH model for modelling in Nigerian Crude Oil Prices Markets using symmetric and Asymmetric GARCH models while the specific objectives of the study include to: build an appropriate Symmetric and asymmetric Generalized Autoregressive...

Open access Research Article 10.9734/arjom/2021/v17i330282

Estimation of the Residuals Entropy Function of Inverse Weibull Distribution Based on Generalized Type-II Hybrid Censored Samples

Moshera A. M. Ahmad · Asian Research Journal of Mathematics · 2021

Shannon’s entropy plays important role in the information theory. However, it can’t be applied to systems which have survived for some time. Therefore, the concept of residual entropy was developed. In this paper, the estimation of the entropy of a two-parameter inverse Weibull d...

Open access Research Article 10.9734/arjom/2021/v17i330281

Comparison of the Performance of the SANN, SARIMA and ARIMA Models for Forecasting Quarterly GDP of Nigeria

Chukwudike C. Nwokike & Emmanuel W. Okereke · Asian Research Journal of Mathematics · 2021

This research aimed at modelling and forecasting the quarterly GDP of Nigeria using the Seasonal Artificial Neural Network (SANN), SARIMA and Box-Jenkins models as well as comparing their predictive performance. The three models mentioned earlier were successfully fitted to the d...

Open access Research Article 10.9734/arjom/2021/v17i330280

A Bioeconomic Analysis of a Renewable Resource in the Presence of Illegal, Unreported and Unregulated Fishing

Mahmud Ibrahim · Asian Research Journal of Mathematics · 2021

The issue of illegal, unreported and unregulated (IUU) fishing is of prime concern to fisheries in developing countries where the regulatory regimes are often weak. This study proposes a Gordon-Schaefer bioeconomic model with non-constant catchability and nonlinear cost to study...

Open access Research Article 10.9734/arjom/2021/v17i230279