Mohamed Chergui

ORCID: 0000-0001-8077-2251
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About
Contact & Profiles
Research Areas
  • Mathematical Inequalities and Applications
  • Functional Equations Stability Results
  • Mathematical functions and polynomials
  • Multi-Criteria Decision Making
  • Analytic and geometric function theory
  • Approximation Theory and Sequence Spaces
  • Radar Systems and Signal Processing
  • Statistical Mechanics and Entropy
  • Mathematics Education and Teaching Techniques
  • Numerical methods in inverse problems
  • Advanced SAR Imaging Techniques
  • Control and Dynamics of Mobile Robots
  • Simulation Techniques and Applications
  • Statistics Education and Methodologies
  • Advanced Wireless Communication Techniques
  • AI in cancer detection
  • Geophysics and Sensor Technology
  • Fixed Point Theorems Analysis
  • Error Correcting Code Techniques
  • Material Science and Thermodynamics
  • Elasticity and Wave Propagation
  • Education and Critical Thinking Development
  • Robotic Path Planning Algorithms
  • Medical Image Segmentation Techniques
  • Control Systems and Identification

Laboratoire de Recherche Scientifique
2021-2025

Université Ibn-Tofail
2022-2024

Polytechnic School of Algiers
2023

Yahoo (United Kingdom)
2022

ORCID
2022

University of Central Florida
2016

This study is a contribution to efforts promote practices for dealing with the difficulties encountered by learners in probabilistic modeling situations. We attempt elucidate as precisely possible types of that secondary school students face process probability tools. By referring large and extensive literature on specific modeling, we have been able establish typology may emerge during implementation students. determined sub-categories stages. Based this typology, constructed test...

10.11591/edulearn.v19i3.22046 article EN Journal of Education and Learning (EduLearn) 2025-03-29

In this article, we define a special function called the Bigamma function. It provides generalization of Euler's gamma Several algebraic properties new are studied. particular, results linking to standard Beta have been provided. We also established inequalities, which allow approximate

10.15672/hujms.1490373 article EN Hacettepe Journal of Mathematics and Statistics 2025-04-11

Recently, an enormous amount of effort has been devoted to extending the gamma and beta functions because their nice properties interesting applications. The contribution this paper falls within framework. We devote our attention here investigate some approximations for a class Gauss hypergeometric by use discrete Jensen’s type inequalities.

10.18514/mmn.2025.4538 article EN cc-by Miskolc mathematical notes/Mathematical notes 2025-01-01

Passive coherent location (PCL) systems can employ a variety of terrestrial broadcast signals for target detection and ranging. Through analysis the ambiguity function, one determine signal's suitability this application. The main parameters concern are amplitude, range resolution, Doppler resolution sidelobe ratios. This paper presents an several recorded in terms their PCL. We also discuss effects compromise when choosing between performance or signal processing gain, surveillance volume.

10.1109/milcom.2016.7795439 article EN 2016-11-01

In this paper we define a new parameterized Beta function which provides generalization of standard and logarithmic mean.Several algebraic properties are explored.To highlight the utility function, present an application inspired from probability area.

10.30546/2409-4994.48.1.2022.132 article EN Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan 2022-05-31

We investigate some results about mean-inequalities involving a large number of bivariate means. As application, we derive lot inequalities between four or more means among the standard known in literature.

10.1155/2016/1249604 article EN cc-by Abstract and Applied Analysis 2016-01-01

In recent decades, intensive research has been devoted to the study of various operator entropies. this work, we investigate properties parameterized relative entropy Sp(A | B) acting on positive definite matrices with respect weighted Hellinger and Alpha Procrustes distances. particular, estimation distance between certain standard means.

10.5206/mase/16771 article EN cc-by Mathematics in Applied Sciences and Engineering 2024-01-20

In this article, we focus on establishing a new variant of Hermite-Hadamard type inequalities for operator convex maps using an appropriate probability measure. To underline the usefulness these inequalities, investigate some refinements well-known as well definition weighted means.

10.48550/arxiv.2405.11701 preprint EN arXiv (Cornell University) 2024-05-19

In this paper, we are interested in investigating a weighted variant of Hermite-Hadamard type inequalities involving convex functionals. The approach undertaken makes it possible to refine and reverse certain already known the literature. It also allows us provide new functional means establish some related properties with respect standard means.

10.48550/arxiv.2405.11702 preprint EN arXiv (Cornell University) 2024-05-19

Recently, the so-called Hermite-Hadamard inequality for (operator) convex functions with one variable has known extensive several developments by virtue of its nice properties and various applications. The fundamental target this paper is to investigate a weighted variant in multiple variables that extends univariate case. As an application, we introduce some multivariate means extending certain bivariate literature.

10.48550/arxiv.2405.12251 preprint EN arXiv (Cornell University) 2024-05-19

The purpose of this paper is to introduce a weighted Hermite-Hadamard inequality which generalizes the standard one. Some refinements and reverses are pointed out. As application, some new means derived their related inequalities investigated as well.

10.2298/fil2416895r article EN Filomat 2024-01-01

This paper investigates a new weighted version of the standard Hermite-Hadamard inequalities for operator convex functions and highlights certain related properties. As an application, means have been pointed out some refinements to several mean discussed.

10.2298/fil2417971r article EN Filomat 2024-01-01

This paper is focusing on determining some properties for relative operator entropies acting positive definite matrices with respect to various matrix versions of Hellinger distance. In particular, we estimate the distance between entropy and a geometric mean two matrices.

10.1109/commnet52204.2021.9641881 article EN 2021-12-03

Aware of the various issues involved in assessing learning, but also difficulties encountered classroom practice this pedagogical act, we set out article to explore and analyze assessment practices secondary school mathematics teachers conceptions they underlie. The study was conducted from a systemic perspective. We therefore targeted three aspects our study: conceptual, institutional, docimological. Analysis attitudes declared by random sample enabled us confirm that pedagogical,...

10.11591/edulearn.v18i2.21217 article EN cc-by Journal of Education and Learning (EduLearn) 2024-02-17

The Beta-logarithmic function, providing simultaneously a generalization of the logarithmic mean and beta has been recently introduced by authors. In this paper we deal with approximating function when investing some advanced integral inequalities. Many old/new inequalities involving standard are immediately deduced.

10.56947/gjom.v16i1.1788 article EN other-oa Gulf Journal of Mathematics 2024-03-08

Recently, many researchers devoted their attention to study the extensions of gamma and beta functions. In present work, we focus on investigating some approximations for a class Gauss hypergeometric functions by exploiting Gr\"{u}ss discrete inequality.

10.48550/arxiv.2405.14901 preprint EN arXiv (Cornell University) 2024-05-22

In this article, we define a special function called the Bigamma function. It provides generalization of Euler's gamma Several algebraic properties new are studied. particular, results linking to standard Beta have been provided. We also established inequalities, which allow approximate

10.48550/arxiv.2405.19368 preprint EN arXiv (Cornell University) 2024-05-26

10.1007/s12215-024-01098-0 article EN Rendiconti del Circolo Matematico di Palermo Series 2 2024-07-15

In this paper, we are interested to establish inequalities of Hermite-Hadamard type involving operator h-convex functions. We provide some generalizations operators with real arguments recently pointed out. Several applications weighted means presented as well.

10.2298/fil2218333r article EN Filomat 2022-01-01

Recently intensive efforts are deployed to establish inequalities involving some bivariate means. In this paper we aim investigate further mean inequalities. The approach employed here is based on a combination of the integral representations involved means with advanced known in literature. particular, applying Gr?ss inequality and Ostrowski derive lot estimations for differences between standard weighted

10.2298/fil2112157r article EN Filomat 2021-01-01

Abstract In this paper, we define a distance d on the set ℳ of bivariate means. We show that (ℳ, d) is bounded complete metric space which not compact. Other algebraic and topological properties are investigated as well.

10.2478/ausm-2022-0010 article EN cc-by-nc-nd Acta Universitatis Sapientiae Mathematica 2022-11-01

The current paper is centered on investigating some properties for the Tsallis relative operator entropy acting positive definite matrices with respect to versions of Hellinger distance.Particularly, distances between and means two symmetric are estimated.

10.30546/2409-4994.48.2.2022.259 article EN Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan 2022-11-01
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