This article brings together some inequalities associated with Hermite-Hadamard's inequality for quasi-convex functions by way of k -Riemann-Liouville fractional integrals of order α . The inequalities thus obtained are applied to some special means of real numbers.

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Dialysis patients with high body mass index (BMI) experience survival advantages as compared to dialysis patients with low BMI. Preliminary modelling results seem to confirm the dependence of survival probabilities on BMI, but also show that BMI is a too crude measure. The simulation results strongly indicate that body composition instead of BMI is the important factor. The purpose of this study is to confirm these findings by simulations with a mathematical model using concrete data concerning body composition. In addition, the authors present the results of a sensitivity analysis for the parameters of the model, which are confirmed by the results of parameter estimation procedures.

Modeling and design of on-chip interconnect, the interconnection between the components is becoming the fundamental roadblock in achieving high-speed integrated circuits. The scaling of interconnect in nanometer regime had shifted the paradime from device-dominated to interconnect-dominated design methodology. Driven by the expanding complexity of on-chip interconnects, a passivity preserving model order reduction (MOR) is essential for designing and estimating the performance for reliable operation of the integrated circuit. In this work, we developed a new frequency selective reduce norm spectral zero (RNSZ) projection method, which dynamically selects interpolation points using spectral zeros of the system. The proposed reduce-norm scheme can guarantee stability and passivity, while creating the reduced models, which are fairly accurate across selected narrow range of frequencies. The reduced order results indicate preservation of passivity and greater accuracy than the other model order reduction methods.

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