Bounds for Csiszár divergence and hybrid Zipf‐Mandelbrot entropy

The purpose of this paper is to give a series of inequalities of the Jensen type and their applications for Csiszár divergence. By using these results, we give many estimations for hybrid Zipf‐Mandelbrot entropy.     

Syntheses, Spectral Studies and Bioanalyses of Some Triorganotin(Ⅳ) Complexes of Cephlaxine

Five novel triorganotin(Ⅳ) complexes have been synthesized by refluxing trimethyl, triethyl, tributyl, triphenyl and tribenzyltin chloride with Cephlaxine.These compounds were characterized by spectroscopic (IR,1H, 13C, 119Sn NMR) techniques and elemental analysis.The results obtained through these techniques are in full agreement with the proposed 1:1 stoichiometry.The synthesized compounds were than tested against various microorganisms and fungi.The results of new products obtained showed that the triphenyltin(IV) complex displayed promising activity against all types of bacteria and fungi used while all other compounds showed significant antibacterial and antifungal activity.     

Heat transfer through partitioned enclosures

A closed-form model for the computation of heat transfer rates through the rectangular-partitioned enclosures is investigated. The rectangular-partitioned enclosures may contain solid or gas with or without a constant and uniformly distributed heat generation. The conduction in the enclosures is considered as two-dimensional, whereas one-dimensional heat transfer through the fin-type partition is assumed. Dimensionless heat flux plots are parametrically studied by varying the aspect ratio (L/H) of the enclosure, the ratio of thermal conductivities of the enclosure to the fin-type partition (k _a /k _f ), the Biot number (β _a =h _a L/k _a ), and the reduced partition thickness (t ^*/L). It is demonstrated through an example problem that there is a large error in using one-dimensional analysis, particularly at lower values of k _a /k _f , and β _a .     

Three-step iterative methods for general variational inclusions in L P spaces

In this paper, we show that the general variational inclusions are equivalent to the fixed point problem. We use this equivalence to discuss the existence of the variational inclusions in L ^p spaces. Using the technique of the updating solution, we suggest some three-step iterative methods for solving the general variational inclusion. We also consider the convergence analysis of the proposed iterative methods under some mild conditions. Since the general variational inclusions include several classes of variational inequalities and optimization problems as special cases, results proved in this paper continue to hold for these problems.     

Matrix solution to electromagnetic scattering by a conducting cylinder with an eccentric metamaterial coating

Closed series solution to scattering by an eccentric coated cylinder is realized in matrix form. Diffracted radiation characteristics are investigated for N incident plane transverse electric (TE) waves. The solution is obtained by the boundary value analysis and the addition theorem of the Bessel's functions. Wave transformation and orthogonality of the complex exponentials are also used to find an infinite series in the solution. Numerical results are shown by reducing the infinite series to a limited number of terms and compared to previously published works.     

A Kinetic Theory approach for laser pulse heating process

Pulsed lasers are being widely used in industry for their high precision and low cost in material processing. In order to understand the laser machining mechanism, a thermal analysis of the process is of utmost importance. In the present study, heat transfer mechanisms relevant to pulsed laser heating is solved numerically using the Kinetic Theory approach for different types of laser pulses. A comparison between the temperature profiles developed due to different pulses is also carried out. In the heat transfer model, conduction and convection due to melting and evaporation are considered. The laser pulse profiles introduced in the analysis are selected as appropriate to laser machining processes. Stainless steel is selected as the heat transfer medium.     

Harmonic and intermodulation performance of active integrated-optic waveguides

An empirical formula is developed for the static input/output optical characteristic of the active integrated-optic waveguide. Using this formula, closed-form analytical expressions, in terms of the ordinary Bessel functions, are obtained for the output optical components resulting from a modulated multisinusoidal optical input. Using these expressions the effect of the wavelength of the light input, the guide width, the modulation depth and the optical power for transperancy on the harmonic and intermodulation performance of the active integrated-optic waveguide can be studied.     

Self-adaptive methods for mixed quasi-variational inequalities

It is well known that the variational inequalities involving the nonlinear term φ are equivalent to the fixed-point problems and the resolvent equations. In this paper, we use these alternative equivalent formulations to suggest and analyze some new self-adaptive iterative methods for solving mixed quasi-variational inequalities. Our results can be viewed as significant extensions of the previously known results for mixed quasi-variational inequalities. An example is given to illustrate the efficiency of the proposed method.