{"title":"A NOTE ON GAUTSCHI'S INEQUALITY AND APPLICATION TO WALLIS' AND STIRLING'S FORMULA","authors":"Martin Lukarevski","doi":"10.2298/PIM150430027L","DOIUrl":"https://doi.org/10.2298/PIM150430027L","url":null,"abstract":"We present novel elementary proofs of Stirling's approximation formula and \u0000 Wallis' product formula, both based on a Gautschi's inequality for the Gamma \u0000 function.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"68 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":"114986765","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 new approach to filters in triangle algebras","authors":"S. Zahiri, A. Borumand, E. Eslami","doi":"10.2298/PIM1715267Z","DOIUrl":"https://doi.org/10.2298/PIM1715267Z","url":null,"abstract":"We develop the filter theory in triangle algebras. We define several interval valued residuated lattice-filters (IVRL-filters for short) in triangle algebras. We investigate the relationships among these types of IVRL-filters. Also, some special triangle algebras are introduced and studied in details.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"22 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":"115031418","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":"Bi-Lipschitzity of quasiconformal harmonic mappings in n-dimensional space with respect to k-metric","authors":"Shadia Shalandi","doi":"10.2298/PIM1716085S","DOIUrl":"https://doi.org/10.2298/PIM1716085S","url":null,"abstract":"We explore conditions which guarantee bi-Lipschitzity of harmonic quasiconformal maps with respect to k-metric. We prove that harmonic k-quasiconformal maps with nonzero Jacobian between any two domains in Rn are bi-Lipschitz with respect to k-metric, and prove the converse too.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"69 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":"115033305","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 structure of random hypergraphs","authors":"Boriša Kuzeljević","doi":"10.2298/PIM1818043K","DOIUrl":"https://doi.org/10.2298/PIM1818043K","url":null,"abstract":". Let H n be a countable random n -uniform hypergraph for n > 2, and P ( H n ) = { f [ H n ] : f : H n → H n is an embedding } . We prove that a linear order L is isomorphic to the maximal chain in the partial order h P ( H n ) ∪{∅} , ⊂i if and only if L is isomorphic to the order type of a compact set of reals whose minimal element is nonisolated.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"2 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":"117346584","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 relation between spectra of graphs and their digraph decompositions","authors":"D. Stevanović, S. Stevanović","doi":"10.2298/PIM0999047S","DOIUrl":"https://doi.org/10.2298/PIM0999047S","url":null,"abstract":"A graph, consisting of undirected edges, can be represented as a sum of two digraphs, consisting of oppositely oriented directed edges. Gutman and Plath in [J. Serb. Chem. Soc. 66 (2001), 237-241] showed that for annulenes, the eigenvalue spectrum of the graph is equal to the sum of the eigenvalue spectra of respective two digraphs. Here we exhibit a number of other graphs with this property.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"35 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":"123902658","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}
Marija S. Najdanovic, M. Zlatanovic, I. Hinterleitner
{"title":"Conformal and geodesic mappings of generalized equidistant spaces","authors":"Marija S. Najdanovic, M. Zlatanovic, I. Hinterleitner","doi":"10.2298/PIM1512071N","DOIUrl":"https://doi.org/10.2298/PIM1512071N","url":null,"abstract":"We consider conformal and geodesic mappings of generalized equidistant \u0000 spaces. We prove the existence of mentioned nontrivial mappings and construct \u0000 examples of conformal and geodesic mapping of a 3-dimensional generalized \u0000 equidistant space. Also, we find some invariant objects (three tensors and \u0000 four which are not tensors) of special geodesic mapping of generalized \u0000 equidistant space. [Projekat Ministarstva nauke Republike Srbije, br. 174012]","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"125 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":"125766271","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":"Structural theorems for quasiasymptotics of distributions at infinity","authors":"J. Vindas","doi":"10.2298/PIM0898159V","DOIUrl":"https://doi.org/10.2298/PIM0898159V","url":null,"abstract":"Complete structural theorems for quasiasymptotics of distributions are presented in this article. For this, asymptotically homogeneous functions and associate asymptotically homogeneous functions at infinity with respect to a slowly varying function are employed. The proposed analysis, based on the concept of asymptotically and associate asymptotically homogeneous functions, allows to obtain easier proofs of the structural theorems for quasiasymptotics at infinity in the so far only known case: when the degree of the quasiasymptotic is not a negative integer. Furthermore, new structural theorems for the case of negative integral degrees are obtained by this method.","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":"125836950","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":"Classifying spaces of monoids-applications in geometric combinatory","authors":"M. Rabrenović","doi":"10.2298/PIM0591021R","DOIUrl":"https://doi.org/10.2298/PIM0591021R","url":null,"abstract":"We give two examples of application of the theory of simplicial sets in geometric combinatorics. The emphasis is on monoids and their classifying spaces.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"24 2 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":"125925856","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":"Completely pseudo-valuation rings and their extensions","authors":"Vijay Kumar","doi":"10.2298/pim1409249b","DOIUrl":"https://doi.org/10.2298/pim1409249b","url":null,"abstract":"","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"42 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":"126128287","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}