In [4], the authors have proved the theorems 2.4 and 2.5 related to some integral inequalities via the Laplace transformation with the parameter p > 1. Inthis manuscript, we propose new extension for integral inequalities related to Laplace transformation with two parameters p ; q and using the weight functions w; φ. We deduce some new inequalities linked to the Laplace transformation.
{"title":"QUASI NORMS INTEGRAL INEQUALITIES RELATED TO LAPLACE TRANSFORMATION","authors":"B. Benaissa, Kadda Maazouz","doi":"10.22190/fumi201203005b","DOIUrl":"https://doi.org/10.22190/fumi201203005b","url":null,"abstract":"In [4], the authors have proved the theorems 2.4 and 2.5 related to some integral inequalities via the Laplace transformation with the parameter p > 1. Inthis manuscript, we propose new extension for integral inequalities related to Laplace transformation with two parameters p ; q and using the weight functions w; φ. We deduce some new inequalities linked to the Laplace transformation.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73754326","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}
In this paper, we deal with surfaces of revolution and their intersections. We start with the surfaces of revolution RS that have their axis along the x3–axis and find intersections with a line, a plane, and then intersection of two such RS. Furthermore, we apply formulas for the intersection with a line to determine the visibility of RS. Later we develop formulas for the intersection of two surfaces of revolution that have their axis along different arbitrary straight lines, and, as a special case, the intersections of two spheres and intersections of general surface of revolution with a sphere and a surface given by an equation. We apply our own software to the graphical representation of all the results we present.
{"title":"INTERSECTIONS OF SURFACES OF REVOLUTION","authors":"Vesna Veličković","doi":"10.22190/fumi220216001v","DOIUrl":"https://doi.org/10.22190/fumi220216001v","url":null,"abstract":"In this paper, we deal with surfaces of revolution and their intersections. We start with the surfaces of revolution RS that have their axis along the x3–axis and find intersections with a line, a plane, and then intersection of two such RS. Furthermore, we apply formulas for the intersection with a line to determine the visibility of RS. Later we develop formulas for the intersection of two surfaces of revolution that have their axis along different arbitrary straight lines, and, as a special case, the intersections of two spheres and intersections of general surface of revolution with a sphere and a surface given by an equation. We apply our own software to the graphical representation of all the results we present.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89335905","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}
In the present paper we introduce two subclasses MSp q;λ(b; A; B) and MKp q;λ(b; A; B) of meromorphic multivalent functions by using q-derivative operator defined in the punctured unit disc. Also, we derive several properties including convolution properties, the necessary and sufficient condition and coefficient estimates for these subclasses.
{"title":"CONVOLUTION CONDITIONS FOR CERTAIN SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS","authors":"P. Vyas","doi":"10.22190/fumi210404013v","DOIUrl":"https://doi.org/10.22190/fumi210404013v","url":null,"abstract":"In the present paper we introduce two subclasses MSp q;λ(b; A; B) and MKp q;λ(b; A; B) of meromorphic multivalent functions by using q-derivative operator defined in the punctured unit disc. Also, we derive several properties including convolution properties, the necessary and sufficient condition and coefficient estimates for these subclasses.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84107443","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}
In the present paper, we have studied curvature tensors of a quasi-Sasakian manifold with respect to the $D_a$-homothetic deformation. We have deduced the Ricci solition in quasi-Sasakian manifold with respect to the $D_a$-homothetic deformation. We have also proved that the quasi-Sasakian manifold is not $bar{xi}$-projectively flat under $D_a$-homothetic deformation. Also we give an example to prove the existance of quasi-Sasakian manifold.
{"title":"$D_a$-HOMOTHETIC DEFORMATION AND RICCI SOLITIONS IN THREE DIMENSIONAL QUASI-SASAKIAN MANIFOLDS","authors":"T.N. Mandal","doi":"10.22190/fumi201114040m","DOIUrl":"https://doi.org/10.22190/fumi201114040m","url":null,"abstract":"In the present paper, we have studied curvature tensors of a quasi-Sasakian manifold with respect to the $D_a$-homothetic deformation. We have deduced the Ricci solition in quasi-Sasakian manifold with respect to the $D_a$-homothetic deformation. We have also proved that the quasi-Sasakian manifold is not $bar{xi}$-projectively flat under $D_a$-homothetic deformation. Also we give an example to prove the existance of quasi-Sasakian manifold.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77437185","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}
Let $M$ is a (pseudo-)Riemannian manifold and $TM$ be its tangent bundlewith the semi-symmetric metric connection $overline{nabla }$. In thispaper, we examine some special vector fields, such as incompressible vectorfields, harmonic vector fields, concurrent vector fields, conformal vectorfields and projective vector fields on $TM$ with respect to thesemi-symmetric metric connection $overline{nabla }$ and obtain someproperties related to them.
{"title":"SOME VECTORS FIELDS ON THE TANGENT BUNDLE WITH A SEMI-SYMMETRIC METRIC CONNECTION","authors":"A. Gezer, Erkan Karakaş","doi":"10.22190/fumi210506050g","DOIUrl":"https://doi.org/10.22190/fumi210506050g","url":null,"abstract":"Let $M$ is a (pseudo-)Riemannian manifold and $TM$ be its tangent bundlewith the semi-symmetric metric connection $overline{nabla }$. In thispaper, we examine some special vector fields, such as incompressible vectorfields, harmonic vector fields, concurrent vector fields, conformal vectorfields and projective vector fields on $TM$ with respect to thesemi-symmetric metric connection $overline{nabla }$ and obtain someproperties related to them.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79391426","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}
In the present paper, we introduce the concepts of ideal inner and ideal outer limits which always exist even if empty sets for double sequences of closed sets in Pringsheim's sense. Next, we give some formulas for finding ideal inner and outer limits in a metric space. After then, we define Kuratowski ideal convergence of double sequences of closed sets by means of the ideal inner and ideal outer limits of a double sequence of closed sets. Additionally, we give some examples that our result is more general than the results obtained before.
{"title":"IDEAL CONVERGENCE OF DOUBLE SEQUENCES OF CLOSED SETS","authors":"Ozer Talo, Y. Sever","doi":"10.22190/fumi210121045t","DOIUrl":"https://doi.org/10.22190/fumi210121045t","url":null,"abstract":"In the present paper, we introduce the concepts of ideal inner and ideal outer limits which always exist even if empty sets for double sequences of closed sets in Pringsheim's sense. Next, we give some formulas for finding ideal inner and outer limits in a metric space. After then, we define Kuratowski ideal convergence of double sequences of closed sets by means of the ideal inner and ideal outer limits of a double sequence of closed sets. Additionally, we give some examples that our result is more general than the results obtained before.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88773719","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}
In this paper, we define a new type of convergence of sequences of sets by using the continuous convergence (or α-convergence) of the sequence of distance functions. Then we proved in which case it is equivalent to rough Wijsman convergence by considering the different values of the roughness degrees.
{"title":"ROUGH CONTINUOUS CONVERGENCE OF SEQUENCES OF SETS","authors":"Ö. Ölmez, Hüseyin Albayrak, S. Aytar","doi":"10.22190/fumi210202046o","DOIUrl":"https://doi.org/10.22190/fumi210202046o","url":null,"abstract":"In this paper, we define a new type of convergence of sequences of sets by using the continuous convergence (or α-convergence) of the sequence of distance functions. Then we proved in which case it is equivalent to rough Wijsman convergence by considering the different values of the roughness degrees.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90341932","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}
A non-abelian group $G$ is called a $CA$-group ($CC$-group) if $C_G(x)$ is abelian(cyclic) for all $xin Gsetminus Z(G)$. We say $xsim y$ if and only if $C_G(x)=C_G(y)$.We denote the equivalence class including $x$ by$[x]_{sim}$. In this paper, we prove thatif $G$ is a $CA$-group and $[x]_{sim}=xZ(G)$, for all $xin G$, then $2^{r-1}leq|G'|leq 2^{rchoose 2}$.where $frac {|G|}{|Z(G)|}=2^{r}, 2leq r$ and characterize all groups whose $[x]_{sim}=xZ(G)$for all $xin G$ and $|G|leq 100$. Also, we will show that if $G$ is a $CC$-group and $[x]_{sim}=xZ(G)$,for all $x in G$, then $Gcong C_mtimes Q_8$ where $C_m$ is a cyclic group of odd order $m$ andif $G$ is a $CC$-group and $[x]_{sim}=x^G$, for all $xin Gsetminus Z(G)$, then $Gcong Q_8$.
{"title":"ON SOME EQUIVALENCE RELATION ON NON-ABELIAN $CA$-GROUPS","authors":"M. Iranmanesh, M. Zareian","doi":"10.22190/fumi201225043i","DOIUrl":"https://doi.org/10.22190/fumi201225043i","url":null,"abstract":"A non-abelian group $G$ is called a $CA$-group ($CC$-group) if $C_G(x)$ is abelian(cyclic) for all $xin Gsetminus Z(G)$. We say $xsim y$ if and only if $C_G(x)=C_G(y)$.We denote the equivalence class including $x$ by$[x]_{sim}$. In this paper, we prove thatif $G$ is a $CA$-group and $[x]_{sim}=xZ(G)$, for all $xin G$, then $2^{r-1}leq|G'|leq 2^{rchoose 2}$.where $frac {|G|}{|Z(G)|}=2^{r}, 2leq r$ and characterize all groups whose $[x]_{sim}=xZ(G)$for all $xin G$ and $|G|leq 100$. Also, we will show that if $G$ is a $CC$-group and $[x]_{sim}=xZ(G)$,for all $x in G$, then $Gcong C_mtimes Q_8$ where $C_m$ is a cyclic group of odd order $m$ andif $G$ is a $CC$-group and $[x]_{sim}=x^G$, for all $xin Gsetminus Z(G)$, then $Gcong Q_8$.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80393819","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}
In this paper, we introduce the concepts of $mathcal{I}$ and $mathcal{I^{*}}-$convergence of sequences in gradual normed linear spaces. We study some basic properties and implication relations of the newly defined convergence concepts. Also, we introduce the notions of $mathcal{I}$ and $mathcal{I^{*}}-$Cauchy sequences in the gradual normed linear space and investigate the relations between them.
{"title":"ON I- CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES","authors":"C. Choudhury, S. Debnath","doi":"10.22190/fumi210108044c","DOIUrl":"https://doi.org/10.22190/fumi210108044c","url":null,"abstract":"In this paper, we introduce the concepts of $mathcal{I}$ and $mathcal{I^{*}}-$convergence of sequences in gradual normed linear spaces. We study some basic properties and implication relations of the newly defined convergence concepts. Also, we introduce the notions of $mathcal{I}$ and $mathcal{I^{*}}-$Cauchy sequences in the gradual normed linear space and investigate the relations between them.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90412763","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}
The present paper aims to study the complete lift of golden structure on tangent bundles. Integrability conditions for complete lift and third-order tangent bundle are established.
本文旨在研究切线束上黄金结构的完全升力。建立了完全升力和三阶切束的可积性条件。
{"title":"LIFTS OF GOLDEN STRUCTURES ON THE TANGENT BUNDLE","authors":"Geeta Verma","doi":"10.22190/fumi210304048v","DOIUrl":"https://doi.org/10.22190/fumi210304048v","url":null,"abstract":"The present paper aims to study the complete lift of golden structure on tangent bundles. Integrability conditions for complete lift and third-order tangent bundle are established.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83646930","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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