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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 5 Documents
 1 
Search results for , issue "Vol. 1 No. 2 (2023): Hilbert J. Math. Anal." : 5 Documents clear
A note on Euclidean spaces $\mathbb{R}^n$ and $n$-normed spaces Idris, Mochammad
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.9

Abstract

This article gives us a relation between Euclidean space $\mathbb{R}^n$ and a subspace of $X$ (an $n$-normed space) using properties of determinant of square matrices. Some functionals will be investigated on these spaces. Furthermore, we obtain definition of inner product and $m$-inner product with $m<n$ on the subspace of $X$.
Sufficient conditions from countably Lipschitz to be strongly generalized absolutely continuous Indrati, Christiana Rini
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.10

Abstract

The CL-integral is an integral that is defined by using countably Lipschitz condition. The CL-integral is more general than the Lebesgue integral, but it is more specific than Denjoy integral in the wide sense. The Denjoy integral in the wide sense is more general than the Henstock-Kurzweil integral. In this paper, it will be given some conditions such that a CL-integrable function is Henctock-Kurzweil-integrable on [a, b].
Construction of a Banach algebra in summable infinite matrices and its realization of the Gelfand transformation Lindiarni, Janny; Setya Budhi, Wono
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.11

Abstract

In this paper, we extend the construction of a Banach Algebra from summable sequences to summable matrices. We also find the representation of the Banach algebra as complex-valued continuous functions defined on a Hausdorff space.
Subordinateness of the subclass of Bazilevic functions B_2(α) Marjono; Gaspar, Estelita Maria Fernandes; Tamara, Rahmalia Firdausi
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.12

Abstract

In 1999 Marjono has published about the subordinateness of subclass of Bazilevic functions. However, the value of β(γ) is not the largest one. In this paper we present our work with my student Estelita Maria from Universidade Timor Loro Sa’e and Rahmalia Firdausi Tamara to find the largest β(γ). This result was obtain by using the similar way with the theorem before and stressing in optimize approaching and also by using the maximum modulus principles as mention in Remark 1.9. For an analytic, normalized function f such that f(0) = f′(0)−1 = 0, there is a largest number β∗(γ) such that subordination holds for α > 0, 0 < γ ≤ 1 and z ∈ D as an improvement of Marjono’s work.
On Invariant eigenvalues of Laplacian on complex star metric graphs Soeharyadi, Yudi; Lindiarni, Janny; Agustima, Pilipus Neri; Burhan, Mohammad Januar Ismail
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.13

Abstract

In this article eigenvalues of Laplacian acting on complex star metric graphs is considered. The operator is coupled with Neumann-Kirchhoff vertex condition, implying self adjointness of the operator. We exhibit the invariance of the eigenvalues over the number of the bonds of the star metric graphs. Moreover, the eigenvalues are also invariant over parallel bonds of the star metric multigraphs.

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