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Hilbert Journal of Mathematical Analysis
Published by Komunitas Analisis Matematika Indonesia
ISSN : -     EISSN : 29857619     DOI : https://doi.org/10.62918
Core Subject : Science, Education, Engineering,
Chemistry Control & Systems Engineering Engineering Mathematics Physics
Hilbert Journal of Mathematical Analysis (Hilbert J. Math. Anal.) is a peer-reviewed, open-access international journal publishing original and high-quality research papers that treat mathematical analysis, geometry, topology, and all closely related topics. It is published by Komunitas Analisis Matematika Indonesia (Kamindo)/Indonesian Mathematical Analysis Society. The Hilbert Journal of Mathematical Analysis (Hilbert J. Math. Anal.) is published by Komunitas Analisis Matematika Indonesia (Kamindo). The Hilbert Journal of Mathematical Analysis is a peer-reviewed, open access international journal publishing original and high quality research papers that treat mathematical analysis, geometry, topology and all closely related topics. This journal particularly focuses on the main problems in the following, but not limited to, areas: Real Functions Measure and Integration Complex Functions (one and several variables) Potential Theory Special Functions Ordinary Differential Equations Partial Differential Equations Dynamical Systems and Ergodic Theory Sequence, Series and Summability Approximation and Expansion Harmonic Analysis (on Euclidean and Abstract Spaces) Integral Transform, Operational Calculus Integral Equations Functional Analysis Operator Theory Geometry Convex Geometry and Discrete Geometry Differential Geometry General Topology Global Analysis, Analysis on Manifold Probability Theory and Stochastic Processes Numerical Analysis
Arjuna Subject : Matematika - Analisis
Articles 30 Documents
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Mathematical Study of One Prey and Two Competing Predators Considering Beddington-DeAngelis Functional Response with Distributed Delay Babu, Raveendra; Gayathri P.
Hilbert Journal of Mathematical Analysis Vol. 2 No. 1 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i1.14

Abstract

A nonlinear prey predator model is suggested and discussed to analyze the one prey and two competing predators considering Beddington-DeAngelis functional response with distributed delay. The analysis of stability of models is executed and the sufficient controls and suitable rules have been discussed for populations with the Beddington-DeAngelis functional response with distributed delay. All the feasible equilibria are observed and carried out for the stability rules. In the study, it has been observed that without delay at certain level of values the system would be stable. Additionally, we have supported our analytical conclusions with numerical visualisations.
A note on Laplace Adomian decomposition method on a linear problem Senjaya Budiman, Manzo; Salim, Daniel
Hilbert Journal of Mathematical Analysis Vol. 2 No. 1 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i1.16

Abstract

In last two decades, Laplace Adomian Decomposition Method (LADM) is vastly used to solve non-linear (or even fractional order) differential equations. The method approaches the solution with the partial sums of function series. However, it is not easy to show that the limit of the function series is the exact solution of the problem. In this article, we consider a simple problem such as homogenous second-order linear ordinary differential equation with constant coefficients. We prove analytically that the LADM gives the right exact solution to the considered problem.
log-Series and log-Functions as application of multidual analysis Messelmi, Farid
Hilbert Journal of Mathematical Analysis Vol. 2 No. 1 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i1.17

Abstract

The purpose of this paper is to contribute to the development of the new concept of log-series and log-functions as particular continuation of real power series and real functions in multidual algebra. We will focus for the case of elementary log-functions and we propose some applications to special functions.
Three inequalities for quadratic-phase Fourier transform Bahri, Mawardi
Hilbert Journal of Mathematical Analysis Vol. 2 No. 1 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i1.18

Abstract

In this work, we introduce the one-dimensional quadratic-phase Fourier transform. The relation between one-dimensional quadratic-phase Fourier transform and one-dimensional Fourier transform is discussed in detail. We finally propose several versions of the inequalites related to one-dimensional quadratic-phase Fourier transform.
On the Fourier coefficients of the derivative with respect to celebrated orthogonal systems Rehouma, Abdelhamid
Hilbert Journal of Mathematical Analysis Vol. 2 No. 1 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i1.19

Abstract

The main goal of this paper is to find the coefficients of the Jacobi polynomials and the integrals of Legendre polynomials expansion of the derivative of a function in terms of the coefficients in the expansion of the original function. More precisely, if {Q_{n}} is a sequence or orthogonal polynomials, and if p(x)=∑_{j=0}ⁿa_{j}Q_{n-j}(x) is such that p′(x)=∑_{j=0}ⁿ⁻¹d_{j}Q_{n-j-1}(x), we find an explicit relation for the coefficients d_{j}, as linear combinations of the coefficients a_{j}. This will be done for two celebrated classes of orthogonal functions, namely the Jacobi polynomials and the integrals of the Legendre polynomials.
Boundedness of some classical operators in Bourgain-Morrey spaces Diarra, Nouffou; Nagacy, Pokou
Hilbert Journal of Mathematical Analysis Vol. 2 No. 2 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i2.22

Abstract

In this paper, we establish relationships between the norms of both Bourgain-Morrey spaces and Wiener amalgam spaces. Therefore, we take advantage of these relations to study the action on Bourgain-Morrey spaces of some classical operators such as maximal operators, Hardy operators, some sublinear operators and their commutators, and the Fourier transform. We also establish in Bourgain-Morrey spaces a norm equivalence of Riesz potential and fractional maximal function.
Legendre-Fenchel duality in m-convexity Wibowo, Ratno Bagus Edy; Marjono; Pramana, Eko Dedi
Hilbert Journal of Mathematical Analysis Vol. 2 No. 2 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i2.23

Abstract

The Legendre-Fenchel transform, which maps a function to its convex conjugate, provides a dual perspective that is fundamental in understanding optimization problems. In this work, we show that m-convex function in n-dimensional normed spaces can be viewed as the Legendre-Fenchel dual problem. By constructing an epi-graph of m-convexity in n-dimensional normed spaces, we obtained some properties including the Legendre transform. Particularly, we prove this for certain convex functions.
The effects of crowding and toxicant on biological food - chain system: a mathematical approach Babu A., Raveendra; Gupta, Srajan; Nisha Rathaur; Agarwal, Tanishka; Sharma, Mamta
Hilbert Journal of Mathematical Analysis Vol. 2 No. 2 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i2.24

Abstract

This work considers and studies a prey predator mathematical system to explain the behaviour and impacts of a food-chain system in the presence of toxicant and crowding. According to the system, only prey species defend themselves by releasing toxins. Using stability requirements, all possible equilibrium points of the system are discussed for local stability. It has been noted that when the toxicant effect or the crowding effect are present, the system under consideration will survive. Lastly, numerical simulation is done to validate the analytical findings.
Embedding from Morrey spaces to Morrey-Stummel spaces Laweangi, Artmo Dihartomo; Gunawan, Hendra
Hilbert Journal of Mathematical Analysis Vol. 2 No. 2 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i2.25

Abstract

In this paper, we study the relation between Stummel spaces, Morrey spaces, and Lebesgue spaces. We show the existence of embedding from Lebesgue spaces to Stummel spaces, and from Morrey spaces to Stummel spaces. The key of showing the existence of embeddings relies on the boundedness of Riesz potential operator both in Morrey spaces and Lebesgue spaces.
Existence and stability results for $\psi$-Caputo fractional integrodifferential equations with delay D, Prabu
Hilbert Journal of Mathematical Analysis Vol. 2 No. 2 (2024): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v2i2.26

Abstract

This paper deals with the existence and uniqueness results for $\psi$-Caputo fractional integrodifferential equations with finite delay. The results are obtained by using the standard fixed point theorems. An example is given to show the main discoveries.

Page 2 of 3 | Total Record : 30

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