Afrika Matematika最新文献

{"title":"(Delta _h)-Appell versions of U-Bernoulli and U-Euler polynomials: properties, zero distribution patterns, and the monomiality principle","authors":"William Ramírez,&nbsp;Stiven Díaz,&nbsp;Alejandro Urieles,&nbsp;Clemente Cesarano,&nbsp;Shahid Ahmad Wani","doi":"10.1007/s13370-025-01286-w","DOIUrl":"10.1007/s13370-025-01286-w","url":null,"abstract":"<div><p>This paper explores the properties, generating functions, recurrence relations, and summation formulas of a novel class of polynomials, referred to as <span>(Delta _h)</span>-type <i>U</i>-Bernoulli and <span>(Delta _h)</span>-type <i>U</i>-Euler polynomials. We delve into the characterization of these polynomials, including the monomiality principle, and derive the corresponding derivative and multiplicative operators. Additionally, we provide computational values in tables and visually appealing representations of the zeros of these polynomials in figures, offering a comprehensive understanding of their behavior.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143716892","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}

{"title":"Splitting theorem of gradient (rho )-Einstein solitons","authors":"Absos Ali Shaikh,&nbsp;Prosenjit Mandal,&nbsp;Chandan Kumar Mondal","doi":"10.1007/s13370-025-01284-y","DOIUrl":"10.1007/s13370-025-01284-y","url":null,"abstract":"<div><p>In this paper, we have proved a weighted Laplacian comparison of distance function for manifolds with Bakry–Émery curvature bounded from below. Next, we have shown that a gradient <span>(rho )</span>-Einstein soliton with a bounded integral condition on Ricci curvature splits off a line isometrically. Moreover, using this result, we have established some boundedness conditions on scalar curvature of gradient <span>(rho )</span>-Einstein soliton.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01284-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143707083","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}

{"title":"Fast algorithms for non-convex tensor completion problems","authors":"Asia Kanwal,&nbsp;Mati ur Rahman,&nbsp;Salah Boulaaras","doi":"10.1007/s13370-025-01290-0","DOIUrl":"10.1007/s13370-025-01290-0","url":null,"abstract":"<div><p>Multi-dimensional image processing plays a pivotal role in diverse fields such as medicine, research, graphics, industry, remote sensing, virtual reality, and geospatial mapping, enabling advanced visualization and analysis. Traditional methods for processing multi-dimensional data, such as matrix-based singular value decomposition (SVD), often fail to capture the inherent multi-dimensional structure, leading to suboptimal performance in tasks like data recovery and feature extraction. To address these limitations, tensor singular value decomposition (t-SVD) has emerged as a powerful tool, specifically designed to handle the complex, multi-linear structures inherent in multi-dimensional data. Unlike matrix-based approaches, t-SVD operates directly on tensors, preserving the intrinsic relationships between dimensions and enabling more accurate representation and recovery of multi-dimensional data. Derived from t-SVD, surrogate functions such as the logDet function and Laplace function have been proposed to approximate the multi-rank of tensors, facilitating the recovery of the underlying structure of multi-dimensional images. However, real-world applications involving large-scale datasets (e.g., hyperspectral images, multispectral images, and grayscale videos) present significant computational challenges. Standard optimization algorithms, such as the alternating direction method of multipliers (ADMM), are often inefficient for solving the resulting large-scale non-convex optimization problems. To overcome these challenges, we propose efficient ADMM algorithms based on randomized singular value decomposition (r-SVD). These algorithms are specifically designed to handle the non-convexity and scalability issues associated with SVD-based optimization. We provide a detailed analysis of the computational complexity of the proposed algorithms, demonstrating their superiority over traditional methods in terms of efficiency and scalability. Extensive experiments on real-world datasets, including hyperspectral images, multispectral images, and grayscale videos, validate that our proposed algorithms achieve significant reductions in CPU time without compromising the quality of data recovery. By leveraging the strengths of r-SVD, our approach offers a robust and efficient solution for multi-dimensional image processing, addressing both theoretical and practical challenges in the field.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143698502","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}

{"title":"A generalization of ECS- modules via c-closed submodules","authors":"Enas Mustafa Kamil,&nbsp;Bijan Davvaz","doi":"10.1007/s13370-025-01285-x","DOIUrl":"10.1007/s13370-025-01285-x","url":null,"abstract":"<div><p>In this paper we present a new generalization of CS, ECS and CCLS- modules. If each “cec-closed submodule “in a module <i>M</i> is a “direct summand“, then <i>M</i> is referred to be CECS. It was demonstrated that every ECS and CCLS-module is generalized by the CECS property. We look at modules <i>M</i> that allow one to lift all homomorphism from a cec-closed submodule of <i>M</i> to <i>M</i>. Despite this, certain modules have some characteristics in common with CECS modules.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143698535","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}

{"title":"Characterizing a semigroup by its fuzzy interior antiideals and fuzzy m-interior antiideals","authors":"Madeleine Al Tahan,&nbsp;Sarka Hoskova-Mayerova","doi":"10.1007/s13370-025-01287-9","DOIUrl":"10.1007/s13370-025-01287-9","url":null,"abstract":"<div><p>Fuzzy sets serve as an extension of traditional sets, capable of handling imprecise information. On the other hand, semigroups represent a broader category than groups, finding utility across various interdisciplinary domains. Diverse subsets of semigroups have been investigated to enhance comprehension of their practical applications. Given the significance of both these ideas, exploring fuzzy subsets within semigroups carries substantial importance. In this paper, we characterize a semigroup through one of its (fuzzy) subsets; (fuzzy) interior antiideals. More precisely, we define interior antiideals and <i>m</i>-interior antiideals of a semigroup, illustrate them by examples, and study their properties. Furthermore, we extend this notion into a fuzzy context, examining the characteristics of fuzzy interior antiideals and fuzzy <i>m</i>-interior antiideals of a semigroup.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01287-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688275","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}

{"title":"On LM-G-filter degree and its characterizations","authors":"Merin Jose,&nbsp;Sunil C. Mathew","doi":"10.1007/s13370-025-01281-1","DOIUrl":"10.1007/s13370-025-01281-1","url":null,"abstract":"<div><p>This paper introduces the concept of <i>LM</i>-G-filter degree of mappings from <span>(L^X rightarrow M)</span>. <i>LM</i>-G-filter degrees of mappings are characterized by <i>L</i>-pre G-filter spaces. Degrees to which an ordinary map is an <i>LM</i>-G-filter map, <i>LM</i>-G-filter preserving map and <i>LM</i>-G-filter isomorphism are also defined and their representations are obtained in several ways. Finally, the application potential of <i>LM</i>-G-filter degree in connection with various decision making situations is also brought out.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612084","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}

{"title":"Stability analysis of some types of pseudo essential spectra under quasi compact perturbations","authors":"Naila Bouida,&nbsp;Hamadi Chaâben,&nbsp;Ines Walha","doi":"10.1007/s13370-025-01278-w","DOIUrl":"10.1007/s13370-025-01278-w","url":null,"abstract":"<div><p>The notion of pseudo essential spectra appears as one of famous generalization of the classical notion of essential spectra. In this paper, we analysis the stability result of perturbed pseudo upper (lower)-Fredholm, pseudo upper (lower)-Weyl and pseudo upper (lower)-Browder operators by means of quasi compact criterions of perturbation. We show some pseudo essential spectra relations between these kind of operators. In addition, a new characterization of the sum of two linear bounded operators in Banach spaces is invested in terms of some essential pseudo spectra based on sufficient criterion of quasi compact perturbation.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612083","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}

{"title":"An analysis of the nonlinearizable classes of Emden-Liénard equations","authors":"M. Ahmed,&nbsp;A. H. Kara","doi":"10.1007/s13370-025-01279-9","DOIUrl":"10.1007/s13370-025-01279-9","url":null,"abstract":"<div><p>We present a general method to construct first integrals for some classes of the well known second-order ordinary differential equations, viz., the Emden and Liénard classes of equations. The approach does not require a knowledge of a Lagrangian but, rather, uses the ‘multiplier approach’ [1, 2]. It is then shown how a study of the invariance properties and conservation laws are used to ‘twice’ reduce the equations to solutions. In this paper, we restrict our work to the nonlinearizable cases.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01279-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612082","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}

{"title":"Convergence analysis of a resolvent-free method for solving inclusion problems beyond Co-coercivity","authors":"Victor Amarachi Uzor,&nbsp;Oluwatosin Temitope Mewomo","doi":"10.1007/s13370-025-01275-z","DOIUrl":"10.1007/s13370-025-01275-z","url":null,"abstract":"<div><p>In this paper, we introduce a new self-adaptive Tseng-type method for solving inclusion problems. Our method by-passes the co-coercivity condition and does not require any computation of the resolvent (or metric projection) operator. While incorporating the golden ratio technique, we prove weak, strong and <span>(R-)</span>Linear convergence of our method, and apply our result to solving the critical point problems. Furthermore, we conduct computational experiments to illustrate the performance of our iterative scheme over similar methods in literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01275-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612075","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}

{"title":"On the second Hankel determinant of certain subclass of bi-univalent functions","authors":"Waggas Galib Atshan,&nbsp;Ibtihal Abdul Ridha Rahman,&nbsp;Sibel Yalçın","doi":"10.1007/s13370-025-01269-x","DOIUrl":"10.1007/s13370-025-01269-x","url":null,"abstract":"<div><p>In this paper, we define subclass <span>({mathfrak {D}}_{Sigma }(delta ,beta ,alpha ,t))</span> of the function class <span>(Sigma )</span> of bi-univalent functions defined in the open unit disk in the complex plane. Using Chebyshev polynomials, we have investigated the upper bound for the second Hankel determinant for this function class.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612126","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}