Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.815.101-127
Giuseppe Di Fazio
The aim of this paper is to give a brief account on the problem of regularity for linear elliptic PDEs of the second order.
本文的目的是简要介绍二阶线性椭圆偏微分方程的正则性问题。
{"title":"Regularity for Elliptic Equations under Minimal Assumptions","authors":"Giuseppe Di Fazio","doi":"10.22342/JIMS.26.1.815.101-127","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.815.101-127","url":null,"abstract":"The aim of this paper is to give a brief account on the problem of regularity for linear elliptic PDEs of the second order.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"26 1","pages":"101-127"},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47193536","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.818.137-164
D. Hakim
In this note we will discuss some results related to complex interpolation of Morrey spaces. We first recall the Riesz-Thorin interpolation theorem in Section 1. After that, we discuss a partial generalization of this theorem in Morrey spaces proved in cite{St}. We also discuss non-interpolation property of Morrey spaces given in cite{BRV99, RV}. In Section 3, we recall the definition of Calder'on's complex interpolation method and the description of complex interpolation of Lebesgue spaces. In Section 4, we discuss the description of complex interpolation of Morrey spaces given in cite{CPP98, HS2, Lemarie, LYY}. Finally, we discuss the description of complex interpolation of subspaces of Morrey spaces in the last section. This note is a summary of the current research about interpolation of Morrey spaces, generalized Morrey spaces, and their subspaces in cite{CPP98, HS, HS2, H, H4, Lemarie, LYY}.
{"title":"Calderon's Complex Interpolation of Morrey Spaces","authors":"D. Hakim","doi":"10.22342/JIMS.26.1.818.137-164","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.818.137-164","url":null,"abstract":"In this note we will discuss some results related to complex interpolation of Morrey spaces. We first recall the Riesz-Thorin interpolation theorem in Section 1. After that, we discuss a partial generalization of this theorem in Morrey spaces proved in cite{St}. We also discuss non-interpolation property of Morrey spaces given in cite{BRV99, RV}. In Section 3, we recall the definition of Calder'on's complex interpolation method and the description of complex interpolation of Lebesgue spaces. In Section 4, we discuss the description of complex interpolation of Morrey spaces given in cite{CPP98, HS2, Lemarie, LYY}. Finally, we discuss the description of complex interpolation of subspaces of Morrey spaces in the last section. This note is a summary of the current research about interpolation of Morrey spaces, generalized Morrey spaces, and their subspaces in cite{CPP98, HS, HS2, H, H4, Lemarie, LYY}.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"26 1","pages":"137-164"},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43275481","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.772.55-63
R GirishV, P. Usha
A dominating set D of a graph G = (V;E) is a split dominating set if the induced graph hV Di is disconnected. The split domination number s(G) is the minimum cardinality of a split domination set. A graph G is called vertex split domination critical if s(Gv) < s(G) for every vertex v 2 G. A graph G is called edge split domination critical if s(G + e) < s(G) for every edge e in G. In this paper, whether for some standard graphs are split domination vertex critical or not are investigated and then characterized 2- ns-critical and 3- ns-critical graphs with respect to the diameter of a graph G with vertex removal. Further, it is shown that there is no existence of s-critical graph for edge addition.
{"title":"Split Domination Vertex Critical and Edge Critical Graphs","authors":"R GirishV, P. Usha","doi":"10.22342/JIMS.26.1.772.55-63","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.772.55-63","url":null,"abstract":"A dominating set D of a graph G = (V;E) is a split dominating set if the induced graph hV Di is disconnected. The split domination number s(G) is the minimum cardinality of a split domination set. A graph G is called vertex split domination critical if s(Gv) < s(G) for every vertex v 2 G. A graph G is called edge split domination critical if s(G + e) < s(G) for every edge e in G. In this paper, whether for some standard graphs are split domination vertex critical or not are investigated and then characterized 2- ns-critical and 3- ns-critical graphs with respect to the diameter of a graph G with vertex removal. Further, it is shown that there is no existence of s-critical graph for edge addition.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"26 1","pages":"55-63"},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45474062","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.795.74-100
Mohamed El-Borhamy, Alaaldeen N. Ahmed
This article presents the stability analysis of delay integro-differential equations with fractional order derivative via some approximation techniques for the derived nonlinear terms of characteristic exponents. Based on these techniques, the existence of some analytical solutions at the neighborhood of their equilibrium points is proved. Stability charts are constructed and so both of the critical time delay and critical frequency formulae are obtained. The impact of this work into the general RLC circuit applications exposing the delay and fractional order derivatives is discussed.
{"title":"Stability Analysis Of Delayed Fractional Integro-Differential Equations With Applications Of RLC Circuits","authors":"Mohamed El-Borhamy, Alaaldeen N. Ahmed","doi":"10.22342/JIMS.26.1.795.74-100","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.795.74-100","url":null,"abstract":"This article presents the stability analysis of delay integro-differential equations with fractional order derivative via some approximation techniques for the derived nonlinear terms of characteristic exponents. Based on these techniques, the existence of some analytical solutions at the neighborhood of their equilibrium points is proved. Stability charts are constructed and so both of the critical time delay and critical frequency formulae are obtained. The impact of this work into the general RLC circuit applications exposing the delay and fractional order derivatives is discussed.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"26 1","pages":"74-100"},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45341655","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.776.64-73
S. Nayeem
In this paper, we have studied some properties of Abian's semiring, especially about the supremum of a subset of an Abian's semiring. We have also considered the zero divisor graphs of Abian's semiring and found some properties of those graphs.
{"title":"On some properties of Abian's semiring and its zero divisor graphs","authors":"S. Nayeem","doi":"10.22342/JIMS.26.1.776.64-73","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.776.64-73","url":null,"abstract":"In this paper, we have studied some properties of Abian's semiring, especially about the supremum of a subset of an Abian's semiring. We have also considered the zero divisor graphs of Abian's semiring and found some properties of those graphs.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"26 1","pages":"64-73"},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42493461","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.742.22-36
Sara Sekhavatizadeh, M. M. Zahedi, A. Iranmanesh
Let ${G}$ be a finite group and $hat{G}$ be the set of all irreducible complex characters of $G.$ In this paper, we consider $ $ as a polygroup, where for each $chi _{i} ,chi_{j}in hat{G}$ the product $chi _{i} * chi_{j}$ is the set of those irreducible constituents which appear in the element wise product $chi_{i} chi_{j}.$ We call that $hat{G}$ simple if it has no proper normal subpolygroup and show that if $hat{G}$ is a single power cyclic polygroup, then $hat{G}$ is a simple polygroup and hence $hat{S}_{n}$ and $hat{A}_{n}$ are simple polygroups. Also, we prove that if $G$ is a non-abelian simple group, then $hat{G}$ is a single power cyclic polygroup. Moreover, we classify $hat{D}_{2n}$ for all $n.$ Also, we prove that $hat{T}_{4n}$ and $hat{U}_{6n}$ are cyclic polygroups with finite period.
{"title":"Character Table Groups and Extracted Simple and Cyclic Polygroups","authors":"Sara Sekhavatizadeh, M. M. Zahedi, A. Iranmanesh","doi":"10.22342/JIMS.26.1.742.22-36","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.742.22-36","url":null,"abstract":"Let ${G}$ be a finite group and $hat{G}$ be the set of all irreducible complex characters of $G.$ In this paper, we consider $ $ as a polygroup, where for each $chi _{i} ,chi_{j}in hat{G}$ the product $chi _{i} * chi_{j}$ is the set of those irreducible constituents which appear in the element wise product $chi_{i} chi_{j}.$ We call that $hat{G}$ simple if it has no proper normal subpolygroup and show that if $hat{G}$ is a single power cyclic polygroup, then $hat{G}$ is a simple polygroup and hence $hat{S}_{n}$ and $hat{A}_{n}$ are simple polygroups. Also, we prove that if $G$ is a non-abelian simple group, then $hat{G}$ is a single power cyclic polygroup. Moreover, we classify $hat{D}_{2n}$ for all $n.$ Also, we prove that $hat{T}_{4n}$ and $hat{U}_{6n}$ are cyclic polygroups with finite period.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"26 1","pages":"22-36"},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42721697","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}
Pub Date : 2020-02-23DOI: 10.22342/jims.28.1.1089.97-106
Hadiseh Saydi, M. Darafsheh, A. Iranmanesh
Supercharacter theory is developed by P. Diaconis and I. M. Isaacs as a natural generalization of the classical ordinary character theory. Some classical sums of number theory appear as supercharacters which are obtained by the action of certain subgroups of GL_d(Z_n) on Z_n^d. In this paper we take Z_p^d, p prime, and by the action of certain subgroups of GL_d(Z_p) we find supercharacter table of Z_p^d.
{"title":"Supercharacter Table of Certain Finite Groups","authors":"Hadiseh Saydi, M. Darafsheh, A. Iranmanesh","doi":"10.22342/jims.28.1.1089.97-106","DOIUrl":"https://doi.org/10.22342/jims.28.1.1089.97-106","url":null,"abstract":"Supercharacter theory is developed by P. Diaconis and I. M. Isaacs as a natural generalization of the classical ordinary character theory. Some classical sums of number theory appear as supercharacters which are obtained by the action of certain subgroups of GL_d(Z_n) on Z_n^d. In this paper we take Z_p^d, p prime, and by the action of certain subgroups of GL_d(Z_p) we find supercharacter table of Z_p^d.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48553052","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}
Pub Date : 2019-11-02DOI: 10.22342/JIMS.25.3.825.325-335
M. Sampe, Eko Ariawan, I. W. Ariawan
Employee turnover is a common issue in any company. A high turnover phenomenon becomes a big problem that will certainly affect the performance of the company. Therefore, measuring employee turnover can be helpful to employers to improve employee retention rates and give them a head start on turnover. A study to analyze for employee loyalty has been carried out by using Logistic Regression (LR) and Artificial Neural Networks (ANN) model. Response variables such as satisfaction level, number of projects, average monthly working hours, employment period, working accident, promotion in the last 5 years, department, and salary level are used to model the employee turnover. Parameters such as accuracy, precision, sensitivity, Kolmogorov-Smirnov statistic, and Mean Squared Error (MSE) are used to compare both models.
{"title":"Predictive Analysis of Employee Loyalty: A Comparative Study Using Logistic Regression Model and Artificial Neural Network","authors":"M. Sampe, Eko Ariawan, I. W. Ariawan","doi":"10.22342/JIMS.25.3.825.325-335","DOIUrl":"https://doi.org/10.22342/JIMS.25.3.825.325-335","url":null,"abstract":"Employee turnover is a common issue in any company. A high turnover phenomenon becomes a big problem that will certainly affect the performance of the company. Therefore, measuring employee turnover can be helpful to employers to improve employee retention rates and give them a head start on turnover. A study to analyze for employee loyalty has been carried out by using Logistic Regression (LR) and Artificial Neural Networks (ANN) model. Response variables such as satisfaction level, number of projects, average monthly working hours, employment period, working accident, promotion in the last 5 years, department, and salary level are used to model the employee turnover. Parameters such as accuracy, precision, sensitivity, Kolmogorov-Smirnov statistic, and Mean Squared Error (MSE) are used to compare both models.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46930346","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}
Pub Date : 2019-11-01DOI: 10.22342/JIMS.25.3.828.314-324
R. Ramdani, A. Salman, H. Assiyatun
Let $G=(V(G),E(G))$ be a graph and $k$ be a positive integer. A total $k$-labeling of $G$ is a map $f: V(G)cup E(G)rightarrow {1,2,ldots,k }$. The edge weight $uv$ under the labeling $f$ is denoted by $w_f(uv)$ and defined by $w_f(uv)=f(u)+f(uv)+f(v)$. The vertex weight $v$ under the labeling $f$ is denoted by $w_f(v)$ and defined by $w_f(v) = f(v) + sum_{uv in{E(G)}} {f(uv)}$. A total $k$-labeling of $G$ is called an edge irregular total $k$-labeling of $G$ if $w_f(e_1)neq w_f(e_2)$ for every two distinct edges $e_1$ and $e_2$ in $E(G)$. The total edge irregularity strength of $G$, denoted by $tes(G)$, is the minimum $k$ for which $G$ has an edge irregular total $k$-labeling. A total $k$-labeling of $G$ is called a vertex irregular total $k$-labeling of $G$ if $w_f(v_1)neq w_f(v_2)$ for every two distinct vertices $v_1$ and $v_2$ in $V(G)$. The total vertex irregularity strength of $G$, denoted by $tvs(G)$, is the minimum $k$ for which $G$ has a vertex irregular total $k$-labeling. In this paper, we determine the total edge irregularity strength and the total vertex irregularity strength of some graphs obtained from star, which are gear, fungus, and some copies of stars.
{"title":"On The Total Edge and Vertex Irregularity Strength of Some Graphs Obtained from Star","authors":"R. Ramdani, A. Salman, H. Assiyatun","doi":"10.22342/JIMS.25.3.828.314-324","DOIUrl":"https://doi.org/10.22342/JIMS.25.3.828.314-324","url":null,"abstract":"Let $G=(V(G),E(G))$ be a graph and $k$ be a positive integer. A total $k$-labeling of $G$ is a map $f: V(G)cup E(G)rightarrow {1,2,ldots,k }$. The edge weight $uv$ under the labeling $f$ is denoted by $w_f(uv)$ and defined by $w_f(uv)=f(u)+f(uv)+f(v)$. The vertex weight $v$ under the labeling $f$ is denoted by $w_f(v)$ and defined by $w_f(v) = f(v) + sum_{uv in{E(G)}} {f(uv)}$. A total $k$-labeling of $G$ is called an edge irregular total $k$-labeling of $G$ if $w_f(e_1)neq w_f(e_2)$ for every two distinct edges $e_1$ and $e_2$ in $E(G)$. The total edge irregularity strength of $G$, denoted by $tes(G)$, is the minimum $k$ for which $G$ has an edge irregular total $k$-labeling. A total $k$-labeling of $G$ is called a vertex irregular total $k$-labeling of $G$ if $w_f(v_1)neq w_f(v_2)$ for every two distinct vertices $v_1$ and $v_2$ in $V(G)$. The total vertex irregularity strength of $G$, denoted by $tvs(G)$, is the minimum $k$ for which $G$ has a vertex irregular total $k$-labeling. In this paper, we determine the total edge irregularity strength and the total vertex irregularity strength of some graphs obtained from star, which are gear, fungus, and some copies of stars.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":"8 9‐10","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41269032","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}
Pub Date : 2019-10-31DOI: 10.22342/JIMS.25.3.765.194-202
S. Hui, Joydeb Roy
The present paper deals with the study of warped product CR-submanifolds of Sasakian manifolds with respect to semisymmetric metric and semisymmetric non-metric connection. Among others, Ricci solitons of such notions have been investigated.
{"title":"Warped product CR-submanifolds of Sasakian manifolds with respect to certain connections","authors":"S. Hui, Joydeb Roy","doi":"10.22342/JIMS.25.3.765.194-202","DOIUrl":"https://doi.org/10.22342/JIMS.25.3.765.194-202","url":null,"abstract":"The present paper deals with the study of warped product CR-submanifolds of Sasakian manifolds with respect to semisymmetric metric and semisymmetric non-metric connection. Among others, Ricci solitons of such notions have been investigated.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42920389","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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