Papers

Department of Mathematics & Statistics, Maharan Bhupal Campus Mohanlal Sukhadia University, Udaipur India

Email:-dulawat_ms@rediffmail.com

In this paper, necessary and sufficient conditions for admissibility of conditionally specified test procedure employing Satterthwaite's synthetic mean squares for testing main effects in analysis of variance of a random model with split-plot-design has been derived.

**Department of Mathematics, *Govt College Manawar Dhar MP India

**Department of Mathematics, S.L.L Jain PG College Vidisha MP India

**Department of Mathematics, Govt Com and Science Benagir College Bhopal India

In this paper, first, second, third and nth order of chemical reaction of velocity constant [C. R. V. C. ] represent in term of I-function, these result would be applied to obtain half life period as a particular case in the application section.

C/o Dr Arif Nadeem 94 North city, Near Air Force Gate Pilibhit Bareilly UP India

 "Many algorithms have been proposed for nonlinear multidimensional combinatorial optimization models. Here in this paper we concentrate our attention to the unconstrained minimization of nonsmooth composite functions based on trust region approach. From the current iteration point, the iteration step is defined by minimizing a model function in a certain range around the iteration point, called a trust region. The proposed algorithm uses a smoothing function which is related to Fletcher's exact differential penalty function. Reduction of the amount of information to be stored during the computation is proposed"

*Department of Mathematics Govt. J.p Verma PG College Bilaspur CG India

**Department of Mathematics Govt. Agrasen College Bilha Bilaspur CG India

 In the present note we prove a theorem on the convergence of series of ultraspherical polynomials.Our theorem generalizes the result of Zitarora's²