{"title":"The computation of capacity of planar condensers","authors":"Dimitrios Betsakos, K. Samuelsson, M. Vuorinen","doi":"10.2298/PIM0475233B","DOIUrl":"https://doi.org/10.2298/PIM0475233B","url":null,"abstract":"We describe a new adaptive finite element method for the numerical computation of the capacity of planar (possibly multiply-connected) condensers. We compare this method with other numerical methods and we give several examples that illustrate its effectiveness.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125817768","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 generalized inequalities of Heinz, Halmos and Bernstein","authors":"C. Lin","doi":"10.2298/PIM0373149L","DOIUrl":"https://doi.org/10.2298/PIM0373149L","url":null,"abstract":"We present generalized inequalities of Heinz, Halmos and Bernstein. It is proved that they are all equivalent to one another. In fact they are all equivalent to the Cauchy-Schwarz inequality. Equality condition and the bound of inequality are established. .","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"86 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126023377","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":"Polynomial inequalities in Lavrentiev regions with interior and exterior zero angles in the weighted Lebesgue space","authors":"F. Abdullayev, N. P. Ozkartepe","doi":"10.2298/PIM1614209A","DOIUrl":"https://doi.org/10.2298/PIM1614209A","url":null,"abstract":"Let C be a complex plane, C̄ := C∪ {∞}; G ⊂ C be a bounded Jordan region, with 0 ∈ G and the boundary L := ∂G be a simple closed rectifiable Jordan curve, Ω := C̄ r Ḡ = extL; ∆ := {w : |w| > 1}. Let w = Φ(z) be the univalent conformal mapping of Ω onto the ∆ normalized by Φ(∞) = ∞, limz→∞ Φ(z) z > 0. For t > 1, let us set Lt := {z : |Φ(z)| = t}, L1 ≡ L, Gt := intLt, Ωt := extLt. For z ∈ C and S ⊂ C let d(z, S) := dist(z, S) = inf{|ζ− z| : ζ ∈ S}. Let h(z) be a weight function defined in GR0 for some fixed R0 > 1 and let ℘n denote the class of arbitrary algebraic polynomials Pn(z) of degree at most n ∈ N := {1, 2, . . .}. For any p > 0 we denote","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125320860","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":"Some nonsemisymmetric Ricci-semisymmetric warped product hypersurfaces","authors":"R. Deszcz, M. Glogowska","doi":"10.2298/PIM0272081D","DOIUrl":"https://doi.org/10.2298/PIM0272081D","url":null,"abstract":"We investigate curvature properties of some nonsemisymmetric Ricci-semisymmetric hypersurfaces of a semi-Euclidean space Ej+1, which can be locally realized as a warped product.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126841324","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":"Relationship between Matuszewska-Orlicz, Semenov and Simonenko indices of φ-functions","authors":"Yan Yaqiang","doi":"10.2298/PIM0373139Y","DOIUrl":"https://doi.org/10.2298/PIM0373139Y","url":null,"abstract":"We obtain a relationship between Matuszewska-Orlicz indices, Semenov indices and Simonenko indices. The main results are: 2νiFμiΨ = 1 = 2νiΨμiF , 2-1/αiF ≤ νiF ≤ μiF ≤ 2-1/βiF 1 ≤ piF ≤ qiF ≤ ___μiF____ 2(1-νiF) 1-μiF.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114941558","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":"Approximation of signals (functions) of Lip(α, p), (p > 1)-class by trigonometric polynomials","authors":"K. Khatri, V. Narayan","doi":"10.2298/pim1818251k","DOIUrl":"https://doi.org/10.2298/pim1818251k","url":null,"abstract":". Given a function f in the class Lip( α,p ) (0 < α 6 1 ,p > 1), Mittal and Singh (2014) approximated such an f by using trigonometric polynomials, which are the n th terms of either certain Riesz mean or Nörlund mean trans-forms of the Fourier series representation for f . They showed that the degree of approximation is O (( λ ( n )) − α ) and extended two theorems of Leindler (2005) where he had weakened the conditions on { p n } given by Chandra (2002) to more general classes of triangular matrix methods. We obtain the same degree of approximation for a more general class of lower triangular matrices.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115488422","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":"Various constants associated with quasidisks and quasisymmetric homeomorphisms","authors":"Shen Yu-Liang","doi":"10.2298/PIM0475095Y","DOIUrl":"https://doi.org/10.2298/PIM0475095Y","url":null,"abstract":"In this expository paper, we will discuss some constants associated with quasidisks and quasisymmetric homeomorphisms.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115582835","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 Gauss-Bonnet theorem","authors":"J. Jarić","doi":"10.2298/PIM1205059J","DOIUrl":"https://doi.org/10.2298/PIM1205059J","url":null,"abstract":"A very simple proof of the Gauss-Bonnet theorem is given in invariant form, \u0000 i.e., independent of the coordinate system of a surface.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"211 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122290720","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":"Rings in which the power of every element is the sum of an idempotent and a unit","authors":"Huanyin Chen, M. Sheibani","doi":"10.2298/PIM1716133C","DOIUrl":"https://doi.org/10.2298/PIM1716133C","url":null,"abstract":"A ring R is uniquely π-clean if the power of every element can be uniquely written as the sum of an idempotent and a unit. We prove that a ring R is uniquely π-clean if and only if for any a ∈ R, there exists an integer m and a central idempotent e ∈ R such that am − e ∈ J(R), if and only if R is abelian; idempotents lift modulo J(R); and R/P is torsion for all prime ideals P ⊇ J(R). Finally, we completely determine when a uniquely π-clean ring has nil Jacobson radical.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122920682","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 commutativity of quasi-minimal groups","authors":"Slavko Moconja","doi":"10.2298/PIM150510030M","DOIUrl":"https://doi.org/10.2298/PIM150510030M","url":null,"abstract":"We investigate if every quasi-minimal group is abelian, and give a positive \u0000 answer for a quasi-minimal pure group having a ∅-definable partial order with \u0000 uncountable chains. We also relate two properties of a complete theory in a \u0000 countable language: the existence of a quasi-minimal model and the existence \u0000 of a strongly regular type. As a consequence we derive the equivalence of \u0000 conjectures on commutativity of quasi-minimal groups and commutativity of \u0000 regular groups.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122149340","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}