The authors find the greatest value λ and the least value μ, such that the double inequality C(λa + (1-λb), λb+(1-λ)a) < αA(a, b) + (1-α)T(a,b) < C(μa + (1 - μ)b, μb + (1 - μ)a) holds for all α ∈ (0, 1) and a, b > 0 with a ≠ b, where C(a, b) = 2(a² + ab + b²)/3(a + b), A(a, b) = (a + b)/2, and T(a, b) = (a + b)/2, and T(a, b) = (2/π) ∫₀(π/2) √a²cos²θ + b²sin²θdθ denote, respectively, the centro...

for better understanding of tehran ground water, samples were taken randomly from 340 out of 655 deep & semi deep wells in 1993, which dug by tehran water supply and sewage engineering company. 260 water specimens were examined chemically and physically and compared with the 1993 world health organization (who) and food and agriculture organization (fao) criteria and analyzed statistically. log...

In this paper, the computation of numerical integration using arithmetic mean (AMDCNC), geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivativebased closed Newton cotes quadrature rules are compared with the existing closed Newton cotes quadrature rule (CNC). The comparison shows that, arithmetic mean-based rule gives better solution than the other two rules. This set of quadrature rules ...

AbdvactThe effects of quantization in an LMS-Newton adaptive filtering algorithm are investigated. The algorithm considered uses an optimum convergence factor, that forces the output ayoclteriori error to become zero in each iteration. The prOpagation of errors due to quantization in the internal variables of the algorithm is investigated and a closed-form formula for the excess mean square err...