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On A-numerical radius inequalities of semi-Hilbert space operators 半希尔伯特空间算子的a -数值半径不等式
Annali dell''Universita di Ferrara Pub Date : 2025-09-23 DOI: 10.1007/s11565-025-00613-0
Messaoud Guesba, Mohammad Sababheh
{"title":"On A-numerical radius inequalities of semi-Hilbert space operators","authors":"Messaoud Guesba,&nbsp;Mohammad Sababheh","doi":"10.1007/s11565-025-00613-0","DOIUrl":"10.1007/s11565-025-00613-0","url":null,"abstract":"<div><p>Our goal in this paper is to give several new <i>A</i>-operator semi-norm and <i>A</i>-numerical radius inequalities for sums of operators in a semi-Hilbert space. These inequalities improve some earlier related inequalities. In particular, some refinements of the triangle inequality are obtained, and bounds for the <i>A</i>-operator semi-norm and the <i>A</i>-numerical radius for sums of multiple operators are obtained.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boas-type theorems for the Dunkl transform in the space (L^{1}_{k}(R^{d},w_{k}(x)dx)) 空间中Dunkl变换的boas型定理 (L^{1}_{k}(R^{d},w_{k}(x)dx))
Annali dell''Universita di Ferrara Pub Date : 2025-09-22 DOI: 10.1007/s11565-025-00612-1
A. Mahfoud, M. El Hamma
{"title":"Boas-type theorems for the Dunkl transform in the space (L^{1}_{k}(R^{d},w_{k}(x)dx))","authors":"A. Mahfoud,&nbsp;M. El Hamma","doi":"10.1007/s11565-025-00612-1","DOIUrl":"10.1007/s11565-025-00612-1","url":null,"abstract":"<div><p>The purpose of the present work is to study the necessary and sufficient condition in terms of the Dunkl transform <span>({mathcal {F}}_{k}(f))</span> on <span>({{mathbb {R}}}^{d})</span>, to ensure that <i>f</i> belong either to one of the generalized Lipschitz classes <span>(D_{alpha }^{m})</span> and <span>(d_{alpha }^{m})</span> for <span>(alpha &gt;0)</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145100806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hybrid iterative method for solving split variational inclusion problem and fixed-point problem for a finite family of nonexpansive mappings in real hilbert spaces 求解实数hilbert空间有限族非扩张映射的分裂变分包含问题和不动点问题的混合迭代方法
Annali dell''Universita di Ferrara Pub Date : 2025-09-22 DOI: 10.1007/s11565-025-00611-2
Saleem Yousuf
{"title":"Hybrid iterative method for solving split variational inclusion problem and fixed-point problem for a finite family of nonexpansive mappings in real hilbert spaces","authors":"Saleem Yousuf","doi":"10.1007/s11565-025-00611-2","DOIUrl":"10.1007/s11565-025-00611-2","url":null,"abstract":"<div><p>This paper presents a novel iterative approach designed to approximate a unified solution for both split variational inclusion problem and fixed-point problem of finite family of nonexpansive mappings. Within the context of real Hilbert spaces, we establish and validate a strong convergence theorem to achieve this common solution. The method and results presented in this paper extend and unify some recent known results in this field. Finally, a numerical example is used to demonstrate the convergence analysis of the sequences generated by the iterative method.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Transcendental entire solutions of two-types of q-shift equations 两类q移方程的超越全解
Annali dell''Universita di Ferrara Pub Date : 2025-09-18 DOI: 10.1007/s11565-025-00610-3
Jhuma Sarkar, Abhijit Banerjee
{"title":"On Transcendental entire solutions of two-types of q-shift equations","authors":"Jhuma Sarkar,&nbsp;Abhijit Banerjee","doi":"10.1007/s11565-025-00610-3","DOIUrl":"10.1007/s11565-025-00610-3","url":null,"abstract":"<div><p>In this paper, we have explored the forms of transcendental entire solutions for two categories of <i>q</i>-shift equations in the complex plane. The first investigation focused on Fermat-type simultaneous binomial <i>q</i>-shift equations, while the second dealt with trinomial <i>q</i>-shift equation. We have provided examples to illustrate and justify our findings.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thermal convection in a Burgers fluid 伯格流体中的热对流
Annali dell''Universita di Ferrara Pub Date : 2025-09-08 DOI: 10.1007/s11565-025-00609-w
Brian Straughan
{"title":"Thermal convection in a Burgers fluid","authors":"Brian Straughan","doi":"10.1007/s11565-025-00609-w","DOIUrl":"10.1007/s11565-025-00609-w","url":null,"abstract":"<div><p>The problem of thermal convection in a Burgers fluid occupying a horizontal layer is investigated. The thresholds for linear instability are calculated in detail and the critical Rayleigh and wave numbers are determined. Using a classification of Anatoly P. Oskolkov it is shown that the model for a Burgers fluid is a natural extension of a Maxwell fluid and one may also refer to it as a Maxwell fluid of order two. The thermal convection thresholds are compared to those for a regular Maxwell fluid and the effects of the new parameters in the Burgers model are displayed.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145011821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear mixed skew and (eta )-Jordan derivations on (*)-algebras (*) -代数上的非线性混合偏态和(eta ) -Jordan导数
Annali dell''Universita di Ferrara Pub Date : 2025-08-26 DOI: 10.1007/s11565-025-00608-x
Asma Ali, Shakiv Ali, Mohd Tasleem
{"title":"Nonlinear mixed skew and (eta )-Jordan derivations on (*)-algebras","authors":"Asma Ali,&nbsp;Shakiv Ali,&nbsp;Mohd Tasleem","doi":"10.1007/s11565-025-00608-x","DOIUrl":"10.1007/s11565-025-00608-x","url":null,"abstract":"<div><p>Let <span>(mathfrak {E})</span> be a unital <span>(*)</span>-algebra and <span>(eta ne -1)</span> be a nonzero scalar. This paper establishes that if a nonlinear mapping <span>(zeta : mathfrak {E} rightarrow mathfrak {E})</span> satisfies <span>( zeta (mathcal {U} bullet mathcal {V} circ _eta mathcal {W})=zeta (mathcal {U}) bullet mathcal {V} circ _eta mathcal {W}+mathcal {U} bullet zeta (mathcal {V}) circ _eta mathcal {W}+mathcal {U} bullet mathcal {V} circ _eta zeta (mathcal {W}))</span> for all <span>( mathcal {U}, mathcal {V}, mathcal {W} in mathfrak {E})</span>, then <span>(zeta )</span> is an additive <span>(*)</span>-derivation and fulfils <span>(zeta (eta mathcal {U})=eta zeta (mathcal {U}))</span> for all <span>(mathcal {U} in mathfrak {E}.)</span> Additionally, we extend this result to various other algebras.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144904973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the solvability and stability of nonlinear (varphi )-Caputo fractional differential equations in Banach spaces Banach空间中非线性(varphi ) -Caputo分数阶微分方程的可解性与稳定性
Annali dell''Universita di Ferrara Pub Date : 2025-08-12 DOI: 10.1007/s11565-025-00607-y
Mohammed Messous, Hana Aouadjia, Abdelouaheb Ardjouni, Ali Rezaiguia
{"title":"On the solvability and stability of nonlinear (varphi )-Caputo fractional differential equations in Banach spaces","authors":"Mohammed Messous,&nbsp;Hana Aouadjia,&nbsp;Abdelouaheb Ardjouni,&nbsp;Ali Rezaiguia","doi":"10.1007/s11565-025-00607-y","DOIUrl":"10.1007/s11565-025-00607-y","url":null,"abstract":"<div><p>This paper investigates a nonlinear initial value problem involving the <span>(varphi )</span>-Caputo fractional derivative within the framework of a Banach space. To establish the existence of mild solutions, we utilize the Meir-Keeler fixed point theorem in conjunction with the concept of measure of noncompactness. The existence and uniqueness of solutions are further demonstrated via the Banach contraction principle. In addition, we explore the solution’s sensitivity to initial data and examine its Ulam-Hyers stability. To illustrate the theoretical findings, representative examples are presented.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144832256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some qualitative uncertainty principles for the Fractional Dunkl Transform 分数阶Dunkl变换的定性不确定性原理
Annali dell''Universita di Ferrara Pub Date : 2025-08-11 DOI: 10.1007/s11565-025-00606-z
F. Elgadiri, A. Akhlidj, E. Bendib
{"title":"Some qualitative uncertainty principles for the Fractional Dunkl Transform","authors":"F. Elgadiri,&nbsp;A. Akhlidj,&nbsp;E. Bendib","doi":"10.1007/s11565-025-00606-z","DOIUrl":"10.1007/s11565-025-00606-z","url":null,"abstract":"<div><p>The fractional Dunkl transform (FrDT) is a natural extension of the classical Dunkl transform <span>(mathcal {D}_mu )</span>. In this paper, we establish two qualitative uncertainty principles associated with the FrDT. The first result is a Cowling–Price-type theorem, in which we study the decay properties of two fractional Dunkl transformations for two different angles <span>(alpha )</span> and <span>(gamma )</span>, assuming the angular difference satisfies <span>(gamma - alpha ne npi )</span> for all <span>(n in {mathbb {Z}})</span>. The second result is an <span>(L^p)</span>–<span>(L^q)</span> version of Morgan’s theorem in the context of the FrDT. These results generalize classical uncertainty principles by imposing joint constraints on the decay behavior of a function and its fractional Dunkl transform.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144810832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uniqueness in Kelvin–Voigt elasticity with higher gradients 高梯度Kelvin-Voigt弹性的唯一性
Annali dell''Universita di Ferrara Pub Date : 2025-08-06 DOI: 10.1007/s11565-025-00605-0
Brian Straughan
{"title":"Uniqueness in Kelvin–Voigt elasticity with higher gradients","authors":"Brian Straughan","doi":"10.1007/s11565-025-00605-0","DOIUrl":"10.1007/s11565-025-00605-0","url":null,"abstract":"<div><p>We investigate uniqueness in theories of linear elasticity with a Kelvin–Voigt effect, assuming the elastic coefficients are not sign-definite. This is important with modern materials such as auxetic materials where Poisson’s ratio may be negative. In addition to studying classical linear elasticity with Green–Naghdi thermodynamics of type II, we also analyse a theory which incorporates higher gradients of both elastic displacement and temperature. To allow for non-sign definite elastic coefficients we employ a logarithmic convexity technique. Due to the special nature of the governing partial differential equations it is necessary to construct a novel functional with which one may use logarithmic convexity.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-025-00605-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non co-maximal graph of subgroups of an abelian group 阿贝尔群的子群的非共极大图
Annali dell''Universita di Ferrara Pub Date : 2025-08-01 DOI: 10.1007/s11565-025-00600-5
Bikash Barman, Kukil Kalpa Rajkhowa
{"title":"Non co-maximal graph of subgroups of an abelian group","authors":"Bikash Barman,&nbsp;Kukil Kalpa Rajkhowa","doi":"10.1007/s11565-025-00600-5","DOIUrl":"10.1007/s11565-025-00600-5","url":null,"abstract":"<div><p>For an abelian group <i>G</i> of finite order, the non co-maximal graph of subgroups of <i>G</i>, denoted by <i>NC</i>(<i>G</i>), is a graph whose vertices are non-trivial proper subgroups of <i>G</i> and two distinct vertices <i>S</i> and <i>T</i> are adjacent if and only if <span>(ST ne G)</span>. In this article, we study the interdisciplinary relation between group theoretic properties and graph theoretic properties of non co-maximal graph. The role of cyclic group is one of the key components in this discussion. We also emphasis on the concept of the maximal subgroups of the groups for depiction of the corresponding graphs. Almost all graph theoretic insights are taken into consideration for the developments of this graph. We investigate completeness, emptiness, connectedness, diameter, girth in the second section of this paper. The clique number, independence number, domination number, vertex chromatic number are found in the third section. Planarity, weakly perfect character are interpreted in the fourth section. In the fifth section, we discuss the concept of traversability of <i>NC</i>(<i>G</i>).</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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