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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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Von Neumann-Jordan constant, James constant, and Dunkl-Williams constant for small Morrey spaces Mu'tazili, Aqfil; Gunawan, Hendra
Hilbert Journal of Mathematical Analysis Vol. 1 No. 1 (2022): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i1.1

Abstract

In this article, we compute Von-Neumann-Jordan constant, James constant, and Dunkl-Williams constant for small Morrey spaces. We find that the three constants are the same as those for the classical Morrey spaces.
On fixed point theorems in modular spaces characterized by $C^*$-class functions Supama, Supama
Hilbert Journal of Mathematical Analysis Vol. 1 No. 1 (2022): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i1.4

Abstract

Generally, finding a solution to a theoretical mathematical modelling problem is equivalent to finding a fixed point for a suitable operator. Accordingly, fixed point theory is therefore a very important and crucial in many areas, such as mathematics, sciences, and engineering. A very popular and important fixed point theory is those formulated by Stefan Banach in 1922. The theory is related to a complete normed space and known as the Banach fixed point theory. Recently there have been numerous generalization of the Banach fixed point theory. One of them is a fixed point theory in modular spaces. In this paper, we will formulate some fixed point theorems in modular spaces by using $C^*$-class functions. The obtained results generalize and improve some results in [Supama, On Some Common Fixed Point Theorems inModulared Spaces, International Mathematical Forum, Vol. 7, no. 52, (2012), 2571 - 2579.].
Some convergence results for split common and fixed point problems in Hilbert space Mohammed, L. B.; Kilicman, Adem; Auwalu, Abba
Hilbert Journal of Mathematical Analysis Vol. 1 No. 1 (2022): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i1.5

Abstract

In this survey article, we present an introduction of split feasibility problems, multisets split feasibility problems and split common fixed point problems. Parallel and cyclic algorithms for solving the split common fixed point problems for finite family of strictly pseudocontractive mappings in Hilbert spaces are presented, weak and strong convergence theorems are being proved. Application of the split common fixed point problems and some numerical examples are also presented.
Double butterfly theorem on ellips Mashadi, Mashadi; Dinata, Muhammad Farhan
Hilbert Journal of Mathematical Analysis Vol. 1 No. 1 (2022): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i1.6

Abstract

The butterfly and the double butterfly theorem are applied to a circle. In this paper, we will modify the double butterfly theorem on an ellipse. The method of proving the double butterfly theorem on an ellipse can be done if Haruki’s lemma can apply to any ellipse. Thus, in this paper will also be given a modified Haruki’s lemma on an ellipse.
A useful inequality for quaternion linear canonical transform Bahri, Mawardi
Hilbert Journal of Mathematical Analysis Vol. 1 No. 1 (2022): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i1.7

Abstract

In this work, we first introduce the quaternion Fourier transform. We explore its relation to the quaternion linear Fourier transform and utilize this fact to extend an inequality for the quaternion Fourier transform in the framework of the quaternion linear canonical transform.
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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