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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 12 Documents
 1   2 
Search results for , issue "Volume 19 Number 2 (October 2013)" : 12 Documents clear
SUPER EAT LABELING OF SUBDIVIDED STARS Javaid, Muhammad
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.26.67-77

Abstract

 DOI : http://dx.doi.org/10.22342/jims.19.2.26.67-77  
ON $(ALPHA ,BETA)$-FUZZY IDEALS OF TERNARY SEMIGROUPS Davvaz, Bijan
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.120.123-138

Abstract

In this paper, we introduce the concept of generalizedfuzzy ideals in ternary semigroups, which is a generalization of the fuzzyideals of semigroups. In this regard, we define ($\alpha ,\beta $)-fuzzyleft (right, lateral) ideals, ($\alpha ,\beta $)-fuzzy quasi-ideals and ($\alpha ,\beta $)-fuzzy bi-ideals and invetigate some related properties ofternary semigroups. Special concentration is paid to ($\in ,\in \vee q$)-fuzzy left (right, lateral) ideals, ($\in ,\in \vee q$)-fuzzy quasi-idealsand ($\in ,\in \vee q$)-fuzzy bi-ideals. Finally, wecharacterize regular ternary semigroups in terms of these notions.DOI : http://dx.doi.org/10.22342/jims.19.2.120.123-138
ON STRONG AND WEAK CONVERGENCE IN $n-$HILBERT SPACES Soenjaya, Agus L.
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.164.79-87

Abstract

We discuss the concepts of strong and weak convergence in n-Hilbert spaces and study their properties. Some examples are given to illustrate the concepts. In particular, we prove an analogue of Banach-Saks-Mazur theorem and Radon-Riesz property in the case of n-Hilbert space.DOI : http://dx.doi.org/10.22342/jims.19.2.164.79-87
BOUNDS ON DIVERGENCE IN NONEXTENSIVE STATISTICAL MECHANICS Yamano, Takuya
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.165.89-97

Abstract

We focus on an important property upon generalization of the Kullback-Leibler divergence used in nonextensive statistical mechanics, i.e., bounds. Weexplicitly show upper and lower bounds on it in terms of existing familiar divergences based on the finite range of the probability distribution ratio. This provides a link between the observed distribution functions based on histograms of events and parameterized distance measures in physical sciences. The charactering parameter q 0 and q 1 are rejected from the consideration of bounded divergence.DOI : http://dx.doi.org/10.22342/jims.19.2.165.89-97
SECOND ORDER LEAST SQUARE ESTIMATION ON ARCH(1) MODEL WITH BOX-COX TRANSFORMED DEPENDENT VARIABLE Utami, Herni; -, Subanar
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.166.99-110

Abstract

Box-Cox transformation is often used to reduce heterogeneity and to achieve a symmetric distribution of response variable. In this paper, we estimate the parameters of Box-Cox transformed ARCH(1) model using second-order leastsquare method and then we study the consistency and asymptotic normality for second-order least square (SLS) estimators. The SLS estimation was introduced byWang (2003, 2004) to estimate the parameters of nonlinear regression models with independent and identically distributed errors.DOI : http://dx.doi.org/10.22342/jims.19.2.166.99-110
SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL ORDER INTEGRO-DIFFERENTIAL EQUATIONS Hashem, H.H.G.; El-Sayed, A.M.A.
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.167.111-121

Abstract

We present existence theorems for coupled systems of quadratic integral equations of fractional order. As applications we deduce existence theorems for twocoupled systems of Cauchy problems. Also, an example illustrating the existence theorem is given.DOI : http://dx.doi.org/10.22342/jims.19.2.167.111-121
SUPER EAT LABELING OF SUBDIVIDED STARS Muhammad Javaid
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.26.67-77

Abstract

 DOI : http://dx.doi.org/10.22342/jims.19.2.26.67-77  
ON $(ALPHA ,BETA)$-FUZZY IDEALS OF TERNARY SEMIGROUPS Bijan Davvaz
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.120.123-138

Abstract

In this paper, we introduce the concept of generalizedfuzzy ideals in ternary semigroups, which is a generalization of the fuzzyideals of semigroups. In this regard, we define ($\alpha ,\beta $)-fuzzyleft (right, lateral) ideals, ($\alpha ,\beta $)-fuzzy quasi-ideals and ($\alpha ,\beta $)-fuzzy bi-ideals and invetigate some related properties ofternary semigroups. Special concentration is paid to ($\in ,\in \vee q$)-fuzzy left (right, lateral) ideals, ($\in ,\in \vee q$)-fuzzy quasi-idealsand ($\in ,\in \vee q$)-fuzzy bi-ideals. Finally, wecharacterize regular ternary semigroups in terms of these notions.DOI : http://dx.doi.org/10.22342/jims.19.2.120.123-138
ON STRONG AND WEAK CONVERGENCE IN $n-$HILBERT SPACES Agus L. Soenjaya
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.164.79-87

Abstract

We discuss the concepts of strong and weak convergence in n-Hilbert spaces and study their properties. Some examples are given to illustrate the concepts. In particular, we prove an analogue of Banach-Saks-Mazur theorem and Radon-Riesz property in the case of n-Hilbert space.DOI : http://dx.doi.org/10.22342/jims.19.2.164.79-87
BOUNDS ON DIVERGENCE IN NONEXTENSIVE STATISTICAL MECHANICS Takuya Yamano
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.165.89-97

Abstract

We focus on an important property upon generalization of the Kullback-Leibler divergence used in nonextensive statistical mechanics, i.e., bounds. Weexplicitly show upper and lower bounds on it in terms of existing familiar divergences based on the finite range of the probability distribution ratio. This provides a link between the observed distribution functions based on histograms of events and parameterized distance measures in physical sciences. The charactering parameter q < 0 and q > 1 are rejected from the consideration of bounded divergence.DOI : http://dx.doi.org/10.22342/jims.19.2.165.89-97

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