The n-exponential convexity for majorization inequality for functions of two variables and related results

We apply the refined method of producing n-exponential convex functions of J. Pečarić and J. Perić to extend some known results on majorization type and related inequalities

Performance Comparison between Nonidentical Segmented Exponential Concave and Nonidentical Segmented Exponential Convex Serrated CATRs

This paper presented a theoretical and numerical assessment for nonidentical segmented exponential- (NISE-) convex and NISE-concave serrated plane CATRs by changing number of serrations. The investigation was based on diffraction theory and, more specifically, on the diffraction formulation of Fresnel. The compact antenna test range (CATR) provides uniform illumination within the Fresnel region to the test antenna. Application of serrated edges has been shown to be a good method to control diffraction at the edges of the reflectors. In this paper, the Fresnel fields of NISE-convex and NISE-concave serrated CATRs are analyzed using physical optics (PO) technique. The PO analysis is applied in this paper for plane reflector serrated CATR only. The same analysis is applied to any type of reflector. In this paper, lens-based reflector is not considered. It is observed that NISE-concave serrated CATR gives less ripple and enhanced quiet zone width than NISE-convex

Robust nonlinear regression: case study for modeling the greenhouse gases, methane and carbon dioxide concentration in atmosphere

Four nonlinear regression models are proposed for the atmospheric carbon dioxide and methane gas concentrations data, reported by United Nation 1989. Among those considered, the Exponential with Intercept is the most preferred one to model methane data due to better convergence and lower correlation between parameters. On the other hand, the scale exponential convex model is appropriate for carbon dioxide data because besides having smaller standard errors of parameter estimates and smaller residual standard errors, it is numerically stable. Due to large range of data that goes back to history to 7000 years ago, there is a big dispersion in data set, so that it made us to apply robust nonlinear regression estimation methods to have a smoother model

The Moment Problem in Hypercomplex Systems

This paper is devoted to give the necessary and sufficient conditions guarantees that the product of two generalized moment functions defined in a hypercomplex system L1(Q,m) is also generalized moment function in L1(Q,m) . Also, we prove that a bounded continuous function  in a hypercomplex system L1(Q,m) is conditionally positive definite if and only if is generalized moment functions defined in L1(Q,m) . Moreover, we will give the integral representations of a generalized moment functions defined in L1 (Q, m)

Some fractional estimates of upper bounds involving functions having exponential convexity property

The main objective of this article is to consider the class of exponentially convex functions. We derive a new integral identity involving Riemann-Liouville fractional integral. Utilizing this identity as an auxiliary result we obtain new fractional bounds involving the functions having exponential convexity property.Publisher's Versio

The Harmonic Analysis of Kernel Functions

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian process with zero mean and with a certain kernel (i.e. covariance) function. Choosing the kernel is one of the most challenging and important issues. In the present paper we introduce the harmonic analysis of this non-stationary process, and argue that this is an important tool which helps in designing such kernel. Furthermore, this analysis suggests also an effective way to approximate the kernel, which allows to reduce the computational burden of the identification procedure

An emergency demand response mechanism for cloud computing

We study emergency demand response (EDR) mechanisms from data centers’ perspective, where a cloud data center participates in a mandatory EDR program while receiving online computing job bids. We target a realistic EDR mechanism where: i) The cloud provider dynamically packs different types of resources on servers into requested VMs and computes job schedules to meet users’ requirements; ii) The power consumption of servers in the cloud is limited by the grid through the EDR program; iii) The operating cost of the cloud is considered in the calculation of social welfare, measured by electricity cost. We propose an online auction for dynamic cloud resource provisioning under the EDR program, which runs in polynomial time, achieves truthfulness and close-to-optimal social welfare for the cloud ecosystem.postprin

A VARIABLE PRICE SUPPORT FARM PROGRAM: A TRANSITION TOOL TO A FREE MARKET

This paper analyzes a variable price support program (VPS) as an alternative to the current farm income support program. The VPS program can control U.S. agricultural production while protecting income of small farmers. The VPS is designed to alter farm level production decisions by reducing commodity support prices for each additional unit of production produced. This will serve to discourage excess aggregate production. The VPS program can be a mechanism to stabilize income of efficient small farms during the transition from the current farm programs to a free market environment. An illustrative study is used to target government program benefits to various farm-size groups.Agricultural Finance,