we find the greatest values $alpha_{1} $ and $alpha_{2} $, and the least values $beta_{1} $ and $beta_{2} $ such that the inequalities $alpha_{1} c(a,b)+(1-alpha_{1} )h(a,b)

In this paper, the generalized -centroidal mean and its dual form in 2 variables are introduced. Also, studied some properties and prove their monotonicity. Further, shown that various means are partic- ular cases of generalized $bf{alpha}$-centroidal mean.

In this paper, a new scheme of the evaluation of numerical integration by using Centroidal mean derivative based closed Newton cotes quadrature rule (CMDCNC) is presented in which the centroidal mean is used for the computation of function derivative. The accuracy of these numerical formulas are higher than the existing closed Newton cotes quadrature (CNC) fromula. The error terms are also obta...

In this article the invariant centroidal mean is introduced. A pair of double sequences in term Centroidal and its are defined discussed properties monotonicity log-convexity log-concavity. Finally as an illustration it justified that new Gaussian compound CT' ⊗ CT converging faster than H A. 2000 Mathematics Subject Classification. Primary 26D15.

In this paper an adaptable algorithm for simulating CNN arrays is implemented using various RK-fourth order means such as Arithmetic Mean [AM], Centroidal Mean [CM], Harmonic Mean [HM], Contra Harmonic Mean [CoM], Heronian Mean [HeM], Geometric Mean [GM] and Root Mean Square [RMS] also, it is compared with RK-fourth order embedded means such as the RK-Embedded Heronian Mean, RK-Embedded Centroi...

We find the greatest values $alpha_{1} $ and $alpha_{2} $, and the least values $beta_{1} $ and $beta_{2} $ such that the inequalities $alpha_{1} C(a,b)+(1-alpha_{1} )H(a,b)