GENERALIZED TEMPERATURES IN TWO SPACE VARIABLES AND ITS INTEGRAL REPRESENTATION.
B.B. Waphare
In this paper an integral representation is established for a function which satisfies the generalized heat equation in one of the space variables and the ad joint generalized heat equation in the other space variable.
EXCELLENT-JUST EXCELLENT-DEGREE EQUITABLE DOMINATION IN GRAPHS
K.M. Dharmalingam*, V. Swaminathan
Let G = (V, E) be a simple graph. A subset D of V(G) is said to be a degree equitable dominating set of G if for every there exists a vertex such that u and v are adjacent &1)vdeg()udeg(≤−. The minimum cardinality of a degree equitable dominating set of G is denoted by )G(eγ. A degree equitable dominating set of G of minimum cardinality is called as a eγ-set of G. G is said to be eγ-excellent if every vertex of G belongs to a eγ-set of G. This paper aims at the study of the new concept namely degree equitable excellent graphs. Just eγ-excellence is also defined and studied. Results on these new concepts are compared with those with respect to domination excellence and justγ-excellence in graphs. 2010 Mathematics Subject Classification : 05C69
In this paper by using gs-open sets we define almost gs-normality and mild gs-normality also we continue the study of further properties of gs-normality. We show that these three axioms are regular open hereditary. We also define the class of almost gs-irresolute mappings and show that gs-normality is invariant under almost gs-irresolute M- gs-open continuous surjection.
Sabita Madhvi Singh P. R. Maiti Sanwita Shaiwalini
Climate variations more or less decide the environmental dynamics of an area. Extreme changes of climatic conditions cause problems in anywhere, especially to the agricultural sector. In this respect, knowledge of the likely climate and its impact could add value to Agro-environmental management. In this study, a forecasting approach that incorporates climatic variability is presented. Using meteorological data collected, the time series model: Auto Regressive Integrated Moving Average (ARIMA) is applied to estimate future variation in meteorological parameters. The parameter of each model is estimated with the time series module of software SPSS. The annual rainfall, temperature, relative humidity is forecasted with the observed data.
S. Balasubramanian, C. Sandhya
The object of the present paper is to study the notions of minimal gs-closed set, maximal gs-open set, minimal gs-open set and maximal gs-closed set and their basic properties are studied.
COMMON FIXED POINT THEOREMS FOR NON EXPANSIVE GREGÇ“S TYPE MAPS IN METRIZABLE SPACES
S. K. Malhotra R. Sen S. Shukla
In this paper, we establish the Gregǔs type common fixed point theorem in complete metrizable spaces. Our result generalize the results of Malhotra et al.[8]. Also we introduced an iteration scheme in metrizable spaces which is more general then used by author in. [8] to approximate the common fixed point of mappings. Subject Classification: 54H25, 47H10
49 MHD FREE CONVECTIVE MASS TRANSFER FLOW PAST AN INFINITE VERTICAL POROUS PLATE WITH VARIABLE SUCTION AND SORET EFFECT
Seethamahalakshmi B. D. C. N Prasad G.V.Ramana Reddy
The MHD effects on the unsteady heat convective mass transfer flow past an infinite vertical porous plate with variable suction, where the plate temperature oscillates with the same frequency as that of variable suction velocity with the Soret effects. The governing equations of motion are solved to best possible classical solution by assuming at suitable trial solution. The flow phenomenon has been characterized with the help of flow parameters such as velocity, temperature and concentration profiles for different parameters such as Grashof number (Gr), modified Grashof number (Gm), Schmidt number (Sc), Prandtl number (Pr), Soret number (S0), Magnetic field (M) and variable suction parameter (A). The velocity, temperature and concentration profiles and ski-friction are shown graphically.
CONVEXITY IN METRIC SPACES AND ITS APPLICATIONS TO FIXED POINT THEOREMS
P. Thangavelu, P. Jeyanthi, S. Shyamala Malini
Wataru Takahashi introduced a convex structure in metric spaces and formulated some fixed point theorems for nonexpansive mappings. The purpose of this paper is to introduce strong and weak convex structures in metric spaces and to establish some fixed point theorems.
GENERALIZATION OF TWO-DIMENSIONAL FRACTIONAL FOURIER TRANSFORM
Sharma V.D
The Fractional Fourier transform (FRFT) as a generalization of the classical Fourier transform, was introduced may years ago in mathematics literature. The original purpose of FRFT is to solve the differential equation in quantum mechanics. Optics problems can also be interpreted by FRFT. In fact, most of the applications of FRFT now are applications on optics. But there are still lots of unknowns to the signal processing community. Because of its simple and beautiful properties in Time-Frequency plane, we believe that many new applications are waiting to be proposed in signal processing. In this paper Two-dimensional Fractional Fourier (FRFT) is extended in the distributional generalized sense. Testing function space for the two dimensional FRFT is proved. Its Analyticity is also discussed.
INTEGRAL REPRESENTATIONS AND SERIES EXPANSIONS OF GENERALIZED TEMPERATURES
B.B. Waphare
The main purpose of this paper is to obtain expansions in terms of (),,,nPxtαβand (),,,nQxtαβand also expansions in terms of (),,,nWxtαβand (),,,.
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