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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.

Volume 5 Issue 5_6

  1. S. RAJESHWARI;P. NAGASWARA 281
    https://doi.org/10.23091/japm.2023.281 PDF
    We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.
  2. CHEON SEOUNG RYOO 291
    https://doi.org/10.23091/japm.2023.291 PDF
    In this paper, we investigate the zeros of the fully modified q-poly-tangent polynomials of the first type.
  3. HUI SHI;XI CHEN;QING TUO;LE WU 303
    https://doi.org/10.23091/japm.2023.303 PDF
    Generalized strictly diagonally dominant matrices have a wide range of applications in matrix theory and practical applications, so it is of great theoretical and practical value to study their numerical determination methods. In this paper, we study the numerical determination of generalized strictly diagonally dominant matrices by using the properties of generalized strictly diagonally dominant matrices. We obtain a new criterion for subdivision iteration determination of the generalized strictly diagonally dominant matrices by subdividing the set of non-prevailing row indices and constructing new iteration factors for the set of predominant row indices, new elements of the positive diagonal factors are derived. Advantages are illustrated by numerical examples.
  4. GEORGE A. ANASTASSIOU 315
    https://doi.org/10.23091/japm.2023.315 PDF
    We present a variety of univariate and multivariate left and right side Hardy type fractional inequalities, many of them under convexity, and other also of Lp type, p ≥ 1, in the setting of generalized Hilfer and Prabhakar fractional Calculi.
  5. JU-MOK OH 347
    https://doi.org/10.23091/japm.2023.347 PDF
    We introduce an algebraic structure induced by a fuzzy bipartial order on a complete residuated lattices with the double negative law. We undertake an investigation into the properties of fuzzy bi-partial orders, including their various characteristics and features. We demonstrate that the two families of l-stable and r-stable fuzzy sets can be regarded as complete lattices, and we establish that these two families are anti-isomorphic. Furthermore, we provide two examples related to them.
  6. R. PONRAJ;S. SUBBULAKSHMI 363
    https://doi.org/10.23091/japm.2023.363 PDF
    In this paper we investigate the 4-total mean cordial labeling behavior of arrow graphs, shell-Butterfly graph and graphs obtained by joining two copies of shell graphs by a path.
  7. JUNG YOOG KANG 375
    https://doi.org/10.23091/japm.2023.375 PDF
    In this paper, we construct a fully modified q-poly-Euler numbers and polynomials of the second type and give some properties. Finally, we investigate the zeros of the fully modified q-poly-Euler numbers and polynomials of the second type by using computer.
  8. GARGI TRIVEDI;RAJESH SANGHAVI 389
    https://doi.org/10.23091/japm.2023.389 PDF
    In the pursuit of enhancing image fusion techniques, this research presents a novel approach for fusing multimodal images, specifically infrared (IR) and visible (VIS) images, utilizing a combination of partial differential equations (PDE) and discrete cosine transformation (DCT). The proposed method seeks to leverage the thermal and structural information provided by IR imaging and the fine-grained details offered by VIS imaging create composite images that are superior in quality and informativeness. Through a meticulous fusion process, which involves PDE-guided fusion, DCT component selection, and weighted combination, the methodology aims to strike a balance that optimally preserves essential features and minimizes artifacts. Rigorous evaluations, both objective and subjective, are conducted to validate the effectiveness of the approach. This research contributes to the ongoing advancement of multimodal image fusion, addressing applications in fields like medical imaging, surveillance, and remote sensing, where the marriage of IR and VIS data is of paramount importance.
  9. GEORGE A. ANASTASSIOU 407
    https://doi.org/10.23091/japm.2023.407 PDF
    In this article we continue the study of smooth Picard singular integral operators that started in [2], see there chapters 10-14. This time the foundation of our research is a trigonometric Taylor's formula. We establish the convergence of our operators to the unit operator with rates via Jackson type inequalities engaging the first modulus of continuity. Of interest here is a residual appearing term. Note that our operators are not positive. Our results are pointwise and uniform.