PSR Press – Mission Statement

Ptolemy Scientific Research Press (PSR Press) is a highly regarded publisher of scientific literature dedicated to bringing the latest research and findings to a broader audience. With a focus on cutting-edge research and technology, Ptolemy Scientific Research Press offers a range of publications catering to professionals, researchers, and student’s needs. Whether looking for information on the latest breakthroughs in physics, biology, engineering, or computer science, you can trust Ptolemy Scientific Research Press to deliver insightful, accurate, and engaging content. With its commitment to quality, accessibility, and innovation, Ptolemy Scientific Research Press is an essential resource for anyone interested in science and technology.

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Our Journals

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Latest in Press

Author(s): Samundra Regmi1, Christopher Argyros2, Ioannis K. Argyros3, Santhosh George4
1Learning Commons, University of North Texas at Dallas, TX 75038, USA.
2Department of Computing Science, University of Oklahoma, Norman, OK 73071, USA.
3Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
4Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India.
Abstract:

We determine a radius of convergence for an efficient iterative method with frozen derivatives to solve Banach space defined equations. Our convergence analysis use \(\omega-\) continuity conditions only on the first derivative. Earlier studies have used hypotheses up to the seventh derivative, limiting the applicability of the method. Numerical examples complete the article.

Author(s): Muhammad Tariq1, Saad Ihsan Butt1
1epartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
Abstract:

In this paper, we aim to introduce a new notion of convex functions namely the harmonic \(s\)-type convex functions. The refinements of Ostrowski type inequality are investigated which are the generalized and extended variants of the previously known results for harmonic convex functions.

Author(s): Pranay Dutta1, Md. Razaya Rabbi2, Mohammad Abu Sufian3, Shahnaz Mahjebin4
1Department of Textile Technology, Chittagong Technical College, Chattogram, Bangladesh.
2Department of Merchandising Opex and Sinha Textile Group, Narayangonj, Bangladesh.
3Department of Wet Processing, Textile Engineering College Zorargonj, Chattogram, Bangladesh.
4Department of Industrial Engineering, Regency Garments Ltd., Chattogram, Bangladesh.
Abstract:

Although synthetic dyes are commonly used, natural dyes are still being utilized and used to improve their intrinsic aesthetic properties as the main material for the body’s beauty. For example, research results have shown that henna plant leaves comprise dye together with other additives. This provides a hint that if color from henna is properly studied, it can be used not only as body decoration but may also have fiber-substrates affinity. This paper explores the dyeing possibility-the ability to dye and the fastness qualities of henna dye extracted from henna leaves on cotton fabric compared to reactive dyeing using the same dyeing technique as reactive dyeing. Also, color fastness tests have been performed according to the ISO test methods. The implications of henna dye have been shown to have poor to moderate dyeing capability towards cotton fabrics as opposed to the reactive dyes when henna dyeing is accompanied by reactive dyeing. Similarly, henna dye demonstrated satisfactory properties of fastness as opposed to reactive dye. For henna dye with 50% shade, it gives an outstanding color tone with a good level of coloration. Taken into account the ability to dye and the fastness of color, the dyeing of matured henna leaves is equally advantageous to the dyeing of cotton fabrics.

Author(s): J. Kok1,2, J. Shiny3
1Independent Mathematics Researcher, City of Tshwane, South Africa.
2Visiting Faculty at CHRIST (Deemed to be a University), Bangalore, India.
3Mathematics Research Center, Mary Matha Arts and Science College, Kerala, India.
Abstract:

This furthers the notions of parametric equivalence, isomorphism and uniqueness in graphs. Results for certain cycle related graphs are presented. Avenues for further research are also suggested.

Author(s): Ronald Onyango1, Brian Oduor1, Francis Odundo1
1Department of Applied Statistics, Financial Mathematics and Actuarial Science Jaramogi Oginga Odinga University of Science and Technology P.o Box 210, Bondo-Kenya.
Abstract:

The present study proposes a generalized mean estimator for a sensitive variable using a non-sensitive auxiliary variable in the presence of measurement errors based on the Randomized Response Technique (RRT). Expressions for the bias and mean squared error for the proposed estimator are correctly derived up to the first order of approximation. Furthermore, the optimum conditions and minimum mean squared error for the proposed estimator are determined. The efficiency of the proposed estimator is studied both theoretically and numerically using simulated and real data sets. The numerical study reveals that the use of the Randomized Response Technique (RRT) in a survey contaminated with measurement errors increases the variances and mean squared errors of estimators of the finite population mean.

Author(s): Naila Mehreen1, Matloob Anwar1
1School of Natural Sciences, National University of Sciences and Technology, H-12 Islamabad, Pakistan.
Abstract:

The aim of this paper is to establish the Hermite-Hadamard-Fejér type inequalities for co-ordinated harmonically convex functions via Katugampola fractional integral. We provide Hermite-Hadamard-Fej\’er inequalities for harmonically convex functions via Katugampola fractional integral in one dimension.

Author(s): Alessandro Della Corte1
1Mathematics Division, School of Sciences and Technology, University of Camerino, Italy
Abstract:

The Kolakoski sequence $S$ is the unique element of \(\left\lbrace 1,2 \right\rbrace^{\omega}\) starting with 1 and coinciding with its own run length encoding. We use the parity of the lengths of particular subclasses of initial words of \(S\) as a unifying tool to address the links between the main open questions – recurrence, mirror/reversal invariance and asymptotic density of digits. In particular we prove that recurrence implies reversal invariance, and give sufficient conditions which would imply that the density of 1s is \(\frac{1}{2}\).

Author(s): Essomanda KONZOU 1
1Institut Elie Cartan de Lorraine, UMR CNRS 7502, Université de Lorraine; Laboratoire d’Analyse, de Modélisations Mathématiques et Applications, Université de Lomé, Lomé;
Abstract:

The generalized inverse Gaussian distribution converges in law to the inverse gamma or the gamma distribution under certain conditions on the parameters. It is the same for the Kummer’s distribution to the gamma or beta distribution. We provide explicit upper bounds for the total variation distance between such generalized inverse Gaussian distribution and its gamma or inverse gamma limit laws, on the one hand, and between Kummer’s distribution and its gamma or beta limit laws on the other hand.

Author(s): Daniel A. Romano 1
1International Mathematical Virtual Institute 6, Kordunaška Street, 78000 Banja Luka, Bosnia and Herzegovina;
Abstract:

In this article, we continue our research on quasi-ordered residuated systems introduced in 2018 by S. Bonzio and I. Chajda and various types of filters in them. Some fundamental properties of strong quasi-ordered residuated systems are given in this article. In addition, the concepts of prime and irreducible filters in such systems are introduced and analyzed.

Author(s): Reuben Iortyer Gweryina1, Francis Shienbee Kaduna2, Muhammadu Yahaya Kura3
1Department of Mathematics/Statistics/Computer Science, College of Science, Nigeria.
2Federal University of Agriculture Makurdi, Makurdi, Nigeria.
3Department of Mathematics/Statistics, Federal Polytechnic Nasarawa, Nigeria.
Abstract:

Marriage is the living together of two persons as husband and wife. Separation and Divorce are the frontier challenges facing the existence of stable family system. In this paper, we construct an epidemiological model of divorce epidemic using standard incidence function as force of marital disunity. The study examines qualitatively that the two equilibra (divorce-free and endemic equilibrium point) are globally stable by Lyapunov functions. Numerical results reveal that, anti-divorce protocols and reconciliation can jointly stabilize marriages, and Married cases that survive divorce epidemic in 30 years period of marriage (twice the survival period of separation) cannot break again.

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