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Hacettepe Journal of Mathematics and Statistics最新文献

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Spectrum,‎ ‎homomorphisms and multipliers of Lau product of Banach algebras 巴拿赫代数的频谱、同态性和劳积乘数
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1287866
M. Valaei̇, A. Zivari-kazempour
{"title":"Spectrum,‎ ‎homomorphisms and multipliers of Lau product of Banach algebras","authors":"M. Valaei̇, A. Zivari-kazempour","doi":"10.15672/hujms.1287866","DOIUrl":"https://doi.org/10.15672/hujms.1287866","url":null,"abstract":"‎Given Banach algebras $A$‎, ‎$B$ and a continuous homomorphism $theta:Blongrightarrow A$ with $VertthetaVert leq1$‎, ‎we obtain characterization of spectrum‎, ‎homomorphisms and multipliers of $Atimes_{theta}B$‎, ‎which is a strongly splitting Banach algebra extension of $B$ by $A$‎. ‎Also we characterize the semisimplicity of these algebras‎.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"8 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
TIME-FREQUENCY ANALYSIS ASSOCIATED WITH THE GENERALIZED STOCKWELL TRANSFORM 与广义斯氏管变换相关的时频分析
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1198408
Nadia Ben Hamadi, Zineb Hafirassou, H. Mejjaoli
{"title":"TIME-FREQUENCY ANALYSIS ASSOCIATED WITH THE GENERALIZED STOCKWELL TRANSFORM","authors":"Nadia Ben Hamadi, Zineb Hafirassou, H. Mejjaoli","doi":"10.15672/hujms.1198408","DOIUrl":"https://doi.org/10.15672/hujms.1198408","url":null,"abstract":"The Riemann-Liouville operator has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis. \u0000In this paper, we consider the Stockwell transform associated with the Riemann-Liouville operator. \u0000Knowing the fact that the study of the time-frequency analysis are both theoretically \u0000interesting and practically useful, we investigated several problems for this subject on the setting of this generalized Stockwell transform. Firstly, we explore the Shapiro uncertainty principle for this transform. Next, we study the boundedness and compactness of localization operators associated with the generalized Stockwell transforms. \u0000Finally, the scalogram for the generalized Stockwell transform are introduced and studied at the end.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"3 9","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Introduction in third-order fuzzy differential subordination 三阶模糊微分从属关系导论
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1319541
G. Oros, G. Oros, Özlem Güney
{"title":"Introduction in third-order fuzzy differential subordination","authors":"G. Oros, G. Oros, Özlem Güney","doi":"10.15672/hujms.1319541","DOIUrl":"https://doi.org/10.15672/hujms.1319541","url":null,"abstract":"In light of the well-established and widely-used theory of differential subordination, recent works incorporating fuzzy elements into Geometric Function Theory have given rise to the concept of fuzzy differential subordination. Second-order fuzzy differential subordinations were taken into consideration for studies up until this point. The research described in this paper aims to expand the concept of fuzzy differential subordination to third-order fuzzy differential subordination, building on an idea first put forth in 2011 by José A. Antonino and Sanford S. Miller and still being investigated by scholars today. The key concepts and preliminary findings required for the development of this branch of fuzzy differential subordination are introduced. The class of admissible functions is specified, the fundamental theorems are established and the fundamental concepts of the third-order fuzzy subordination approach are presented. The example given demonstrates the applicability of the new findings.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"69 24","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139440786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Refinement of the classical Jensen inequality using finite sequences 利用有限序列完善经典詹森不等式
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1270585
Z. M. M. M. Sayed, M. Adil Khan, Shahid Khan, J. Pečarić
{"title":"Refinement of the classical Jensen inequality using finite sequences","authors":"Z. M. M. M. Sayed, M. Adil Khan, Shahid Khan, J. Pečarić","doi":"10.15672/hujms.1270585","DOIUrl":"https://doi.org/10.15672/hujms.1270585","url":null,"abstract":"This article is dedicated to a refinement of the classical Jensen inequality by virtue of some finite real sequences. Inequalities for various means are obtained from this refinement. Also, from the proposed refinement, the authors acquired some inequalities for Csisz^{a}r $Psi$- divergence and for Shannon and Zipf-Mandelbrot entropies. The refinement is further generalized through several finite real sequences.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"63 7","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139441226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SPECTRAL PROPERTIES AND INVERSE NODAL PROBLEMS FOR SINGULAR DIFFUSION EQUATION 奇异扩散方程的谱特性和反节点问题
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1254445
R. Ami̇rov, Sevim Durak
{"title":"SPECTRAL PROPERTIES AND INVERSE NODAL PROBLEMS FOR SINGULAR DIFFUSION EQUATION","authors":"R. Ami̇rov, Sevim Durak","doi":"10.15672/hujms.1254445","DOIUrl":"https://doi.org/10.15672/hujms.1254445","url":null,"abstract":"In this study, some properties for the pencils of singular Sturm-Liouville operators are investigated. Firstly, the behaviors of eigenvalues were learned, then the solutions of the inverse problem were given to determine the potential function and parameters of the boundary condition with the help of a dense set of nodal points and lastly we obtain a constructive solution to the inverse problems of this class.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"88 5","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139440505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An inverse source Cauchy-weighted time-fractional diffusion problem 反源考奇加权时间分数扩散问题
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1230169
R. Atmani̇a, Loubna Settara
{"title":"An inverse source Cauchy-weighted time-fractional diffusion problem","authors":"R. Atmani̇a, Loubna Settara","doi":"10.15672/hujms.1230169","DOIUrl":"https://doi.org/10.15672/hujms.1230169","url":null,"abstract":"In the present paper, we are concerned with an inverse source Cauchy weighted problem involving a one-dimensional diffusion equation involving a time-fractional Riemann-Liouville derivative with 0","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"56 14","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139441068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical-analytic successive approximation method for the investigation of periodic solutions of nonlinear integro-differential systems with piecewise constant argument of generalized type 研究具有广义片断常数参数的非线性积分微分系统周期解的数值分析连续逼近法
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1298168
Kuo-shou Chi̇u
{"title":"Numerical-analytic successive approximation method for the investigation of periodic solutions of nonlinear integro-differential systems with piecewise constant argument of generalized type","authors":"Kuo-shou Chi̇u","doi":"10.15672/hujms.1298168","DOIUrl":"https://doi.org/10.15672/hujms.1298168","url":null,"abstract":"In this paper, we focus on investigating the existence and approximation of periodic solutions for a nonlinear integro-differential system with a piecewise alternately advanced and retarded argument of generalized type, referred to as DEPCAG. The argument is a general step function, and we obtain criteria for the existence of periodic solutions for such equations. \u0000Our approach involves converting the given DEPCAG into an equivalent integral equation and using a new approach for periodic solutions. We construct appropriate mappings and employ a numerical-analytic method to investigate periodic solutions of the ordinary differential equation given by A. M. Samoilenko. \u0000Additionally, we use the contraction mapping principle to demonstrate the existence of a unique periodic solution.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"62 14","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139441262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring 渐进式ii型截尾下广义Gompertz分布的应力-强度可靠度估计
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-12-31 DOI: 10.15672/hujms.961868
Fatma Çi̇ftci̇, Buğra Saraçoğlu, Neriman Akdam, Y. Akdoğan
{"title":"Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring","authors":"Fatma Çi̇ftci̇, Buğra Saraçoğlu, Neriman Akdam, Y. Akdoğan","doi":"10.15672/hujms.961868","DOIUrl":"https://doi.org/10.15672/hujms.961868","url":null,"abstract":"In this study, the stress-strength reliability, R = P(Y < X) where Y represents the stress of a component and X represents this component’s strength, is obtained when X and Y have two independents generalized Gompertz distribution with different shape parameters under progressive type-II censoring. The Bayes and maximum likelihood estimators of stress-strength reliability can not be acquired in closed forms. The approximate Bayes estimators under squared error loss function by using Lindley’s approximations for stressstrength reliability are derived. A Monte Carlo simulation study is done to check performances of the approximate Bayes against performances of maximum likelihood estimators and observe the coverage probabilities and the intervals’ average width. In addition, the coverage probabilities of the parametric bootstrap estimates are calculated. Two applications based on real datasets are provided.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"514 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77355605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Bifurcation analysis and chaos control of discrete-time prey-predator model with Allee effect 具有Allee效应的离散食饵-捕食模型的分岔分析与混沌控制
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-12-31 DOI: 10.15672/hujms.1179682
Özlem AK GÜMÜŞ
{"title":"Bifurcation analysis and chaos control of discrete-time prey-predator model with Allee effect","authors":"Özlem AK GÜMÜŞ","doi":"10.15672/hujms.1179682","DOIUrl":"https://doi.org/10.15672/hujms.1179682","url":null,"abstract":"In this study, a discrete-time prey-predator model based on the Allee effect is presented. We examine the parametric conditions for local asymptotic stability of fixed points of this model. Furthermore, with the use of the center manifold theorem and bifurcation theory, we analyze the existence and directions of period-doubling and Neimark-Sacker bifurcations. The plots of maximum Lyapunov exponents provide indications of complexity and chaotic behavior. The feedback control approach is presented to stabilize the unstable fixed point. Numerical simulations are performed to support theoretical results.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"408 19","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72448267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On Quantile-Based Dynamic Survival Extropy and its Applications 基于分位数的动态生存外向性及其应用
4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-10-31 DOI: 10.15672/hujms.823331
Amir Hamzeh KHAMMAR, Seyyed Mahdi AMİR JAHANSHAHİ, Hassan ZAREİ
{"title":"On Quantile-Based Dynamic Survival Extropy and its Applications","authors":"Amir Hamzeh KHAMMAR, Seyyed Mahdi AMİR JAHANSHAHİ, Hassan ZAREİ","doi":"10.15672/hujms.823331","DOIUrl":"https://doi.org/10.15672/hujms.823331","url":null,"abstract":"The cumulative residual extropy is an uncertainty measure that parallels extropy in an absolutely continuous cumulative distribution function. The dynamic version of this measure is known as dynamic survival extropy. In this paper, we study some properties of the dynamic survival extropy using quantile function approach. Unlike the dynamic survival extropy, the quantile-based dynamic survival extropy determines the quantile density function uniquely through a simple relationship. We also extend the definition of quantile-based dynamic survival extropy into order statistics. Finally, an application of new quantile-based uncertainty measure as a risk measure is derived.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"24 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135768996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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