{"title":"On Constant-Ratio Surfaces of Rotation in Euclidean 4-Space","authors":"Kadri Arslan, Betul Bulca, Eray Demirbas","doi":"10.1142/s1793557123502066","DOIUrl":"https://doi.org/10.1142/s1793557123502066","url":null,"abstract":"The general rotational surfaces of [Formula: see text] were first studied by Moore. The Vranceanu surfaces are special examples of this kind of surfaces. These constant-ratio surfaces are surfaces for which the ratio of the norms of the tangent and normal components of the position vector fields is constant. However, spherical surfaces and conical surfaces are also trivial examples of constant-ratio surfaces. Thus, if the norms of the tangent or normal components of the position vector fields are constant, then the given surface is called [Formula: see text]-constant or [Formula: see text]-constant, respectively. In this paper, we considered three types of rotational surfaces lying in [Formula: see text]-dimensional Euclidean space [Formula: see text]. We have obtained the necessary and sufficient conditions for these surfaces to satisfy the [Formula: see text]-constant, [Formula: see text]-constant or constant-ratio conditions. With the help of these results, we characterized the meridian curves of the surfaces. Further, we also give some examples to support the results obtained.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135477760","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}
Hiba Elasraoui, Ali El Mfadel, M'hamed Elomari, Khalid Hilal
{"title":"Exixtence of mild solutions for a multi-term fractional differential equation via <i>ψ</i>-(<i>γ,σ</i>)-resolvent operators","authors":"Hiba Elasraoui, Ali El Mfadel, M'hamed Elomari, Khalid Hilal","doi":"10.1142/s1793557123502121","DOIUrl":"https://doi.org/10.1142/s1793557123502121","url":null,"abstract":"In this paper, we consider a multi-term fractional differential equation involving the [Formula: see text]-Caputo fractional derivative. Under some suitable hypotheses, we prove that our proposed problem has at least one mild solution expressed in terms of the [Formula: see text]-[Formula: see text]-resolvent. As an application, we provide a suitable example at the end of this work to illustrate our theoretical results.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135477146","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 Class of Non-Limiting Factor Filling Functions for Global Minimization","authors":"Ridwan Pandiya, None Salmah, None Widodo, Irwan Endrayanto","doi":"10.1142/s1793557123502054","DOIUrl":"https://doi.org/10.1142/s1793557123502054","url":null,"abstract":"This study aims to provide a non-limiting factor auxiliary function in a general form. This function, under some assumptions, is proven to fulfill the properties of filling functions. The properties of the proposed method, which include continuously differentiable and the absence of any limiting factor, provide an advantage during numerical experiments for solving some global optimization problems. A numerical comparison was performed, and the results confirmed that our filling function has several advantages compared with other filling functions. Moreover, numerical computational results demonstrate the reliability and effectiveness of the proposed filling function.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134903938","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":"On Harmonic Summability of Order α","authors":"Hacer Sengul Kandemir, Mikail Et","doi":"10.1142/s1793557123502017","DOIUrl":"https://doi.org/10.1142/s1793557123502017","url":null,"abstract":"In this study, the concepts of lacunary [Formula: see text]summability of order [Formula: see text], lacunary strongly harmonic summability of order [Formula: see text], lacunary statistical logarithmic convergence of order [Formula: see text] of sequences of real numbers are introduced and relations between these concepts are investigated.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135959566","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":"On the monoid of partial isometries of a wheel graph","authors":"V. H. Fernandes","doi":"10.1142/s1793557123502388","DOIUrl":"https://doi.org/10.1142/s1793557123502388","url":null,"abstract":"In this paper, we consider the monoid $DPW_n$ of all partial isometries of a wheel graph $W_n$ with $n+1$ vertices. Our main objective is to determine the rank of $DPW_n$. In the process, we also compute the ranks of three notable subsemigroups of $DPW_n$. We also describe Green's relations of $DPW_n$ and of its three considered subsemigroups.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"52 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139353833","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":"Block codes on pomset metric","authors":"Atul Kumar Shriwastva, R. S. Selvaraj","doi":"10.1142/s1793557123501711","DOIUrl":"https://doi.org/10.1142/s1793557123501711","url":null,"abstract":"Given a regular multiset [Formula: see text] on [Formula: see text], a partial order [Formula: see text] on [Formula: see text], and a label map [Formula: see text] defined by [Formula: see text] with [Formula: see text], we define a pomset block metric [Formula: see text] on the direct sum [Formula: see text] of [Formula: see text] based on the pomset [Formula: see text]. The pomset block metric extends the classical pomset metric introduced by Sudha and Selvaraj and generalizes the poset block metric introduced by Alves et al. over [Formula: see text]. The space [Formula: see text] is called the pomset block space and we determine the complete weight distribution of it. Further, [Formula: see text]-perfect pomset block codes for ideals with partial and full counts are described. Then, for block codes with chain pomset, the packing radius and Singleton bound are established. The relation between maximum distance separable (MDS) codes and [Formula: see text]-perfect codes for any ideal [Formula: see text] is investigated. Moreover, the duality theorem for an MDS pomset block code is established when all the blocks have the same size.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134998997","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":"Inequalities for the polar derivative of a polynomial with restricted zeros","authors":"W. M. Shah, Raihana Rashid","doi":"10.1142/s179355712350167x","DOIUrl":"https://doi.org/10.1142/s179355712350167x","url":null,"abstract":"Let [Formula: see text] be a polynomial of degree at most [Formula: see text] with real or complex coefficients, then by a prize winning result of Bernstein [Formula: see text] In this paper, we assume that [Formula: see text] has a zero of multiplicity [Formula: see text] at a point inside the unit disc and the remaining zeros outside or inside the disc of radius [Formula: see text] and prove some Bernstein-type inequalities. We also draw the attention of readers to the wrong conclusion of a result due to [Mir and Wani, A note on two recent results about polynomials with restricted zeros, J. Math. Inequalities, 14 (2020) 45–50].","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136355307","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}
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