Volume 21, No. 2 (2011)
Articles
CHARACTERIZATIONS OF FAINT θ-RARE e-CONTINUITY
MIGUEL CALDAS(1), SAEID JAFARI(2)
The object of this paper is to introduce and investigate the new notion of faint θ -rare e-continuity, that is more general that both rare continuity and faint θ -rare continuity.
GEOMETRIC ASPECTS OF THE LAGRANGIAN MECHANICAL SYSTEMS
CAMELIA FRIGIOIU
In this paper, we present some aspects of the Lagrangian geometric model of the rheonomic mechanical systems and we apply them to a concrete rheonomic mechanical system: the motion of a material particle along a moving surface.
QUASI PERFECTLY CONTINUOUS FUNCTIONS AND THEIR FUNCTION SPACES
J.K. KOHLI(1), D.SINGH(2), B.K.TYAGI(3)
A new class of functions called ‘quasi perfectly continuous functions’ is introduced. Basic properties of quasi perfectly continuous functions are studied and their place in the hierarchy of variants of continuity, that already exist in the literature, is elaborated. The notion of quasi perfect continuity, in general is independent of continuity, but coincides with perfect continuity (Indian J. Pure Appl. Math. 15(3) (1984), 241-250), a sig-nificantly strong form of continuity, if the range space is regular.
A CARLEMAN'S INEQUALITY REFINEMENT NOTE
CRISTINEL MORTICI(1), HU YUE(2)
The aim of this note is to give an improvement of Carleman’s inequality. The proof is elementary and our new inequality refines results stated by Bicheng and Debnath [Some inequlities involving the constant e and an application to Carleman’s inequlity. J. Math. Anal. Appl. 223 (1998) 347–353], Xie and Zhong [A best approximation for constant e and an improvement to Hardy’s inequality J. Math. Anal. Appl. 252 (2000) 994–998.], Ping and Guozheng [A Strengthened Carleman’s inequality. J. Math. Anal. Appl. 240 (1999) 290–293] and Yang [On Carleman’s inequality J. Math. Anal. Appl. 253 (2001) 691–694].
ON A SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS ASSOCIATED TO AN INTEGRAL OPERATOR INVOLVING HURWITZ-LERCH ZETA FUNCTION
N.M.MUSTAFA(1), M. DARUS(2)
Making use of an integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions Q^{*\alpha}_{s,b}(\delta,\beta) defined in the open unit disk and investigate its various characteristics. Further we obtain distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class Q^{*\alpha}_{s,b}(\delta,\beta).
A GENERAL DECOMPOSITION THEOREM FOR CLOSED FUNCTIONS
TAKASHI NOIRI(1), VALERIU POPA(2)
Quite recently, the present authors [16] have defined and investigated the notion of mg^*-closed sets as a modification of g-closed sets due to Levine [10]. In this paper, we introduce the notion of mg^*-closed function and obtain a general decomposition of closed functions in topological spaces.
STRONGLY G-β-OPEN SETS AND DECOMPOSITIONS OF CONTINUITY VIA GRILLS
AHMAD AL-OMARI(1), TAKASHI NOIRI(2)
In this paper, we introduce and investigate the notions of strongly G-β-open sets and G-β-open sets in a topological space with a grill. Furthermore, by using these sets, we obtain new decompositions of continuity.
COMMON FIXED POINT THEOREMS FOR TWO PAIRS OF WEAKLY COMPATIBLE MAPPINGS IN MENGER SPACES AND FUZZY METRIC SPACES
B. D. PANT(1), SUNNY CHAUHAN(2)
In this paper, we prove a common fixed point theorem for two pairs of weakly compatible mappings satisfying a contraction-type condition in Menger spaces. As appli-cation to our result, we obtain the corresponding common fixed point theorem in fuzzy metric spaces.
ADAPTABLE SOFTWARE: HOW TO BUILD A MODULAR MONADIC EXTENSIBLE COMPILER USING THE STATE MONAD AND PSEUDOCON-STRUCTORS OVER MONADIC VALUES
DAN V. POPA
The lazy evaluation mechanism included by the Haskell Language and the State Monad are used to build a modular plugin based compiler for a DSL called Simple. This is helping programmers to avoid the backpatching procedure, so producing a clear, modular simplified, monadic code generator.
ON SEMILLATICE-ORDERED SEMIGROUPS. A CONSTRUCTIVE POINT OF VIEW
DANIEL A. ROMANO
Semilattice-ordered semigroup is an important algebraic structure. It is ordered semigroup under anti-order. Some basic properties of semillatice-ordered semigroups with apartness are given by constructive point of view. Let I and K be compatible, an ideal and an anti-ideal of semilattice-ordered semigroup S. Constructions of compatible congruence E(I) and anti-congruence Q(K) on S, generated by I and K respec-tively, are given. Besides, we construct compatible order and anti-order θT on factor-semigroup S/(E(I),Q(K)). Some basic properties of such constructed semigroups are given.
ON FUZZY BI-IDEALS AND FUZZY QUASI IDEALS IN Γ-SEMIGROUPS
SUJIT KUMAR SARDAR(1), SAMIT KUMAR MAJUMDER(2) SOUMITRA KAYAL(3)
The purpose of this paper is to investigate some properties of fuzzy ideals and fuzzy bi-ideals in Γ -semigroups and to introduce the notion of fuzzy quasi ideals in Γ -semigroups. Here, we also characterize regular and intra-regular Γ -semigroup in terms of fuzzy quasi ideals and fuzzy bi-ideals.
ON WEAKLY θ-PRE-I CONTINUOUS FUNCTIONS
SAZIYE YUKSEL(1), ZEHRA GUZEL ERGUL(2), TUGBA HAN SIMSEKLER(3)
In this paper, a strong form in ideal topological spaces of weak θ -pre continuity, called weak θ -pre-I continuity, is introduced. It is shown that weak θ -pre-I continuity is strictly weaker than strong θ -pre-I continuity and that it is between continuity and almost weak continuity. Also, additional properties of these functions are investigated.