권호 표지

Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (KSCAM)

  • 연3회간
  • /
  • 2671-4000(pISSN)
  • /
  • 2636-1612(eISSN)

Domain

  • Mathematics ＞ Applied Mathematics

Aim & Scope

This is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical Informatics. Thus, the major areas, such as Numerical Analysis, Discrete Optimization, Linear and Nonlinear Programming, Theory of Computation(Computational Complexity, Automata and Formal Languages), Control Theory, Theory of Algorithms, Computational Logic, Applied Combinatorics (including graphs, codes, and designs), Coding Theory, Cryptographics, Big data, AI, Fuzzy Theory with applications, Differential Equations with applications, etc., are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics, and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.

KCI

Volume 7 Issue 5_6

  1. F. GROTH;I. KIM;PRATHIMA J;A.K. RATHIE 293
    https://doi.org/10.23091/japm.2025.293 PDF
    Recently, Kim et al. [On some new Gaussian summation formulae with applications, Quaestiones Mathematicae, vol. 44(5), (2021), 669-677] presented four interesting identities involving 0F1 and 2F1 (two each). In this short note, we aim to provide alternative proofs of these two hypergeometric identities involving 2F1.
  2. SO YOUNG PARK;JUNWON LEE;CHEON SEOUNG RYOO 299
    https://doi.org/10.23091/japm.2025.299 PDF
    This study analyzes the zero structures of the Genocchi-Fibonacci polynomials, constructed through the Fibonacci-based F-analogue framework, and explores their analytic and geometric properties. Using the generating functions and recurrence relations derived from the Fibonacci sequence, explicit polynomial forms are obtained, and the corresponding zero distributions are investigated through symbolic and numerical computations. The complex zeros exhibit distinctive symmetric and oscillatory patterns that differ from those of classical Genocchi or Bernoulli-type polynomials, revealing the intrinsic nonlinear interactions between Fibonacci weighting and Genocchi generation. These findings provide a bridge between analytic number theory and computational modeling, with implications for AI-based modeling, robotics, and dynamic systems, where the geometry of zeros plays a crucial role in understanding stability and structural behavior.
  3. HUI YOUNG LEE 311
    https://doi.org/10.23091/japm.2025.311 PDF
    This paper introduces the second tangent-Fibonacci polynomials and numbers. In this paper, we use the Golden Exponential functions etF and EtF defined using the Fibonacci sequence. Also, this paper employs the Golden Binomial Expansion and the Golden Derivative. The fundamental properties, differentiation properties and symmetry properties derived from the definitions of the second Tangent Fibonacci polynomials and numbers are introduced.
  4. JAWAD ETTAYB 321
    https://doi.org/10.23091/japm.2025.321 PDF
    In this paper, we define and study the Volkenborn integral and the Shnirelman integral for cosine families of bounded linear operators on finite-dimensional non-Archimedean Banach spaces over ℚp and ℂp respectively. We give some functional calculus for cosine families of infinitesimal generator A such that A is a nilpotent operator on finite-dimensional nonArchimedean Banach spaces over ℂp. Many results are proved and examples are given to support our work.
  5. HAMADOUM DICKO;ROSAIRE OUEDRAOGO;ALI TRAORE 331
    https://doi.org/10.23091/japm.2025.331 PDF
    In this paper, we present a mathematical model to study the dynamics of a co-infection involving two diseases: one that confers temporary immunity and the other that confers permanent immunity, while incorporating the impact of information dissemination about temporary immunity disease. The study of the disease with temporary immunity shows the existence of a unique disease-free equilibrium 𝓔0, which is stable when 𝓡0 < 1 and when 𝓡0 > 1 we prove the existence of an endemic equilibrum. The basic reproduction number of the co-infection model 𝓡c0 is determined, and a sensitivity analysis of the parameters is conducted to highlight the most influential parameters. Optimal controls representing prevention efforts for both diseases have been performed.
  6. HASAN KELES 351
    https://doi.org/10.23091/japm.2025.351 PDF
    The study is about hyper G-matrices. These matrices are enclosed in G-matrices. The Escort element is the cornerstone of the Poloid structure. At the same time, the escort element is also important for these matrices. This property arising from the multiplication of matrices is AB = CD for matrices A, B, C, D. This equation is contributed to the definition of Hyper matrices. The definition of G-matrix and both of these equations are analyzed together. Detailed results are obtained. In this study, some properties of hyper G-matrices are investigated. For a non-singular matrix A, A = BAC is written. Also, this matrix A is also written as A-T = BAC. New features are obtained by taking the diagonal matrix of matrices B and C. This expression of a matrix is allowed the definition of Hyper G-matrices. Some properties of diagonal matrices which are factors of a regular matrix are studied.
  7. R. PONRAJ;T. SUTHARSON 365
    https://doi.org/10.23091/japm.2025.365 PDF
    Let G = (V, E) be a (p, q) graph. Let M ={$1,2,{\cdot}{\cdot}{\cdot}{\frac{p}{2}},{\frac{1}{2}},{\frac{1}{3}},{\cdot}{\cdot}{\cdot},{\frac{2}{p+2}}$, if p is even $1,2,{\cdot}{\cdot}{\cdot},{\frac{p-1}{2}},{\frac{1}{2}},{\frac{1}{3}},{\cdot}{\cdot}{\cdot},{\frac{2}{p+3}}$ , if p is odd Let χ : V (G) → M be a bijection.For each edge xy assign the label ⌈χ(x)χ(y)⌉.χ is called a fractional product cordial labeling (simply called FP-cordial labeling) if |Πχ(0)-Πχ(1)| ≤ 1, where Πχ(1) and Πχ(0) respectively denotes the number of edges labelled with 1 and not labelled with 1. A graph with a fractional product cordial labeling is called a fractional product cordial graph (Simply FP-cordial graph).In this paper we investigate the fractional product cordial labeling behaviour of parachute graph, twig graph and kayak paddale graph, alternate triangular graph, alternate quadrilateral snake graph, Tn ⊙ K1 and Tn ⊙ 2K1.
  8. SO YOUNG PARK;CHEON SEOUNG RYOO;HUI YOUNG LEE 383
    https://doi.org/10.23091/japm.2025.383 PDF
    In this paper, we introduce the Apostol Tangent Fibonacci polynomials and numbers, defined using the concept of the Golden Derivative. Beginning with the fundamental definitions of the tangent polynomials and the Fibonacci sequence, we construct the Apostol Tangent Fibonacci polynomials via generating functions. We derive and prove several key properties, including recurrence relations, explicit formulas, and identities involving Fibonacci binomial coefficients and the golden ratio. Furthermore, we explore their behavior under classical and golden derivatives, as well as their symmetry properties.
  9. SHABIR AHMAD MIR;KULSOOMA RASHID 393
    https://doi.org/10.23091/japm.2025.393 PDF
    In this paper, we introduce the concepts of lower and upper convex posemigroups, extending the theoretical framework of semigroups to these newly defined posemigroups. We find certain absolutely closed and saturated varieties of posemigroups, addressing gaps in the existing literature. Notably, we demonstrate that the varieties [ac ≤ acb, a ≤ a2] and [ab = ba, a ≤ a2] of lower convex posemigroups are each absolutely closed. Furthermore, we show that the varieties [axyb = ayxb, a ≤ a2], [ac ≤ acb, a ≤ a2] and [a ≤ axa] of lower convex posemigroups are saturated. Dually these results follow for the corresponding upper convex posemigroups.
  10. GEORGE A. ANASTASSIOU 403
    https://doi.org/10.23091/japm.2025.403 PDF
    In this work we estimate the degree of approximation of multivariate pointwise and uniform convergences in the p-mean to the FuzzyRandom unit operator of multivariate Fuzzy-Random Quasi-Interpolation symmetrized and perturbed activation functions based neural network operators. These symmetrized multivariate Fuzzy-Random operators arise in a natural way among multivariate Fuzzy-Random symmetrized neural networks. The rates are given through multivariate Probabilistic-Jackson type inequalities involving the multivariate Fuzzy-Random modulus of continuity of the engaged multivariate Fuzzy-Random function.
  11. ALIYA;HOMAN EMADIFAR 423
    https://doi.org/10.23091/japm.2025.423 PDF
    Multiplicative convex function has a lot of implications in the field of mathematics and science. Moreover, it is crucial while studying mathematical statistics and special functions. In this work I set up the foundation of the notion of "log m-convex interval-valued functions" (I.V.Fs), which is an amalgamation of the two well-known notions like mconvexity and interval calculus and explore its features via such a calculus. As I know that interval calculus deals with the techniques assumes the values in the whole interval instead of a single value. The authors also derive the well-known integral inequalities (Jensen and Hermite-Hadamard's type) related to log m-convex I.V.Fs. Examples are also included in order to more understand the findings.