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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. 1 (2022): Hilbert J. Math. Anal." : 5 Documents clear
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.

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