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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 10 Documents
 1 
Search results for , issue "Vol. 32 No. 2 (2026): JUNE" : 10 Documents clear
On Generalization of Unbounded Order Convergence in Riesz Spaces Diyaldin, Fahreezan Sheraz; Tantrawan, Made
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.1611

Abstract

Order convergence is a crucial concept in the theory of Riesz spaces. A generalization of order convergence, known as unbounded order convergence (or uo convergence), has been introduced. In this paper, we present a further generalization of uo convergence by using an arbitrary nonempty subset of the positive cone of the space. We then investigate the properties of this generalization, including uniqueness of limits, algebraic properties, and the relationships among these types of convergence. In particular, we show that the generalizations of uo convergence generated by two subsets are equivalent if and only if the bands generated by those subsets are equal.
Range Value-at-Risk and Its Optimization in Vehicle Insurance Josaphat, Bony Parulian; Ansori, Moch Fandi
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.1773

Abstract

A popular risk measure is tail value-at-risk (TVaR), which is the mean of a random risk's losses above the value-at-risk (VaR). Moreover, TVaR is the most popular competitor of VaR. However, TVaR has some theoretical obstacles; for example, it does not exist when the risk distribution has a very heavy tail or has an infinite mean. In practice, this may compel financial institutions or insurance companies to deposit additional funds to fulfill requisites specified by regulators. Many authors suggested using a generalization of TVaR known as range value-at-risk (RVaR), which measures the actual risk of an aggregated risk. Furthermore, we suggest the range conditional tail variance (RCTV), a second conditional moment of the tail distribution with the RVaR at its center. RVaR and RCTV are significantly more flexible than TVaR and conditional tail variance (CTV) since they both have a contraction parameter. We also provide analytical formulations for the RVaR and RCTV of exponentially distributed risk. This article \textcolor{black}{proposes} an optimization method for the RVaR by applying the Newton method and a metaheuristic algorithm, spiral optimization (SpO). \textcolor{black}{We use} the Newton technique and SpO with RCTV and CTV to find the contraction parameter that optimizes RVaR. This study shows the use of RVaR optimization to forecast the RVaR of vehicle insurance claim amounts in Australia. We find that the SpO method produces the estimation result quite well as noticed by the quadratic form of objective function converging to zero. On the other hand, the Newton method produces not only similar results for the estimation but also has less RVaR at the same probability levels, which means better in lowering the magnitude of TVaR. However, the empirical results show that, compared with Newton's method, the SpO method captures the RVaR more successfully.
Inequality Estimations of Subclass of Univalent Functions Involving Raducanu-Orhan Operator Manickam, Thirucheran; Kumar, Saravanan; Ramachandran, Navaneetha Krishnan; Thangamani, Stalin; Pandi, Boopathy
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.1822

Abstract

The vast number of new papers that have been written about the univalent function in recent years shows how fascinating it is. Univalent functions are injective analytic functions, which means that they do not take the same value at various places within their domain. Univalent functions are important in complex analysis and have many uses in other areas of mathematics, physics, and engineering. These days, there is a high need for operators of normalized analytic functions, particularly differential and integral operator. Operators are widely used in numerous mathematical and scientific domains. Differential equations can be solved using these operators, which are also used to describe a wide range of physical phenomena. Many researchers have reviewed and discussed a substantial amount of material for the operators. In this work, the new subclass of univalent functions is defined by the Raducanu-Orhan differential operator. In addition, the coefficient inequalities, extreme points, integral means of inequality, and Fekte-Szego inequality for the subclass have been obtained.
Stochastic Influence on Levenberg-Marquardt Method for Nonlinear Least Squares Problems Christopher, Gerend; Naiborhu, Janson
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.1960

Abstract

In this digital era, a lot of data can be collected to be extracted and used for decision making through mathematical models in solving cases in certain domains. This paper will focus on solving nonlinear least squares problems in building an optimal model, namely one that has good accuracy and is efficient. In practice, the model is built using numerical methods. The main objective of this study is to investigate the effect of stochasticity in numerical methods that utilize gradients, namely Levenberg-Marquardt, on accuracy and computational efficiency. In addition, several numerical results from several variants of Stochastic Levenberg-Marquardt sampling and data taken in clusters with K-Means will be compared. The results of this paper are Stochastic Levenberg-Marquardt with 100, 200, 300, 400, and 500 data sample sizes outperformed classical Levenberg-Marquardt since they have very low relative errors to Levenberg-Marquardt and are faster in computational time than Levenberg-Marquardt. Therefore, when solving nonlinear least squares problems with large data sets, the Levenberg-Marquardt method requires only a small number of samples, which suggests that using the Stochastic Levenberg-Marquardt approach is advantageous.
Coupled Fractional Fourier Transform: Properties and Uncertainty Principle Bahri, Mawardi
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.1961

Abstract

The coupled fractional Fourier transform is a general form of the fractional Fourier transform. In the present work, we demonstrate basic properties of the proposed transformation, such as linearity, shifting and modulation. We also propose convolution and correlation theorems and then explore a generalized uncertainty principle for the coupled fractional Fourier transform. These crucial results are modifications of the corresponding properties pertaining to the fractional Fourier transform and the conventional Fourier transform.
Structural Properties and Reverse Topological Indices of Order GCD Graphs of Integers Modulo Ring Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maharani, Andika Ellena Saufika Hakim
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.2009

Abstract

The order GCD graph of a ring, having the ring elements as the vertex set, and two distinct vertices are adjacent if and only if the greatest common divisor (gcd) of the order of both vertices is equal to the order of the product of these two vertices in the ring. This paper aims to analyze the reverse Sombor, Randić, and Harmonic indices of the order GCD graph where the set of vertices is integers modulo ring elements. The results provide new insights into the mathematical properties of reverse topological indices and their potential applications.
Construction Of An n-Norm On \ell^p (R) Idris, Mochammad
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.2053

Abstract

In this article, we discuss an $n$-norm, with $n \ge 2$, which is defined through bounded linear functionals on $p$-summable sequence spaces. We also introduce a new norm induced by this \( n \)-norm, which will be examined for its equivalence to the usual norm. Next, we demonstrate the relationships between various mappings, including the \( n \)-norm, \( (\!n\!\!-\!\!1\!) \)-norm, $\cdots,$ \( 2 \)-norm, and the usual norm. Finally, our results show that the \( p \)-summable sequence spaces, equipped with these mappings are complete spaces.
Coupon Coloring of Snark Graphs Remadevi, Mithra; Pandurangan, Ragukumar
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

A k-coupon coloring of a graph $G$ is a k-coloring of G by colors [k] = {1, 2, . . ., k} such that the neighborhood of every vertex of G contains vertices of all colors from [k]. The maximum integer k for which a k-coupon coloring exists is called the coupon coloring number of G, and it is denoted by $\chi_{c}(G)$. Every d-regular graph G has $\chi_{c}(G) \geq (1 - o(1))d/ \log d$ as $d \rightarrow \infty$, and the proportion of d-regular graphs G for which $\chi_{c}(G) \leq (1 + o(1))d/ \log d$ tends to 1 as $|V(G)| \rightarrow \infty$. Coupon coloring is known to be NP-complete for k-regular graphs, even when k \geq 3. Snarks form a subclass of cubic graphs that are non-Hamiltonian. This motivated us to focus on investigating coupon coloring specifically in the context of snark graphs.
Extreme Vertices of the Psi-Divisible Graph of the Group Z_{p^n} Kumar, Amit; Kumar, Vinod; Sehgal, Amit
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.2145

Abstract

The $\Psi$-divisible graph of a finite group $G$, denoted by $\Psi_G$ is a special type of simple undirected graph, in which the set of vertices contains non-trivial subgroups of $G$ and two distinct vertices $u$ and $v$ are adjacent if and only if $u$ is a proper subgroup of $v$ such that $\Psi(u)|\Psi(v)$ or $v$ is a proper subgroup of $u$ such that $\Psi(v)|\Psi(u)$. The existence of extreme vertices in the $\Psi$-divisible graph of the finite cyclic group $\mathbb{Z}_{p^n}$ is described in this article.
Smoothed Particle Hydrodynamics for Heat Transfer in Plates: Analytical Validation and Geometric Effects of Internal Heat Sources Kurniawan, Riski
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Accurate simulation of heat transfer is essential in many engineering applications. This study investigates heat transfer on thin plates by solving two-dimensional heat equations using the Smoothed Particle Hydrodynamics (SPH) method. The accuracy of the formulation is evaluated by comparing SPH results with analytical solutions for Dirichlet and Neumann boundary conditions, where small nRMSE values confirm good agreement. The method is then applied to plates with internal heat sources of different but equal-area geometries, showing that the star-shaped source yields the fastest heat transfer. These findings highlight the flexibility of SPH for modeling heat equations under complex geometries and boundary conditions.

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