A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp

The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials and q-Genocchi numbers with weight alpha and beta. We apply the method of generating function and p-adic q-integral representation on Zp, which are exploited to derive further classes of Bernstein polynomials and q-Genocchi numbers and polynomials. To be more precise we summarize our results as follows, we obtain some combinatorial relations between q-Genocchi numbers and polynomials with weight alpha and beta. Furthermore, we derive an integral representation of weighted q-Bernstein polynomials of degree n on Zp. Also we deduce a fermionic p-adic q-integral representation of product weighted q-Bernstein polynomials of different degrees n1,n2,...on Zp and show that it can be written with q-Genocchi numbers with weight alpha and beta which yields a deeper insight into the effectiveness of this type of generalizations. Our new generating function possess a number of interesting properties which we state in this paper.Comment: 10 page

A note on the (h,q)-Zeta type function with weight alpha

The objective of this paper is to derive symmetric property of (h,q)-Zeta function with weight alpha. By using this property, we give some interesting identities for (h,q)-Genocchi polynomials with weight alpha. As a result, our applications possess a number of interesting property which we state in this paper.Comment: 7 page

Aetiology and Clinical Presentation of Pneumonia in Hospitalized and Outpatient Children in Northeast Brazil and Risk Factors for Severity

Data on presentation, aetiology, and prognostic indicators of childhood pneumonia, which can help design strategies for controlling the disease, are generally scarce in developing countries. In this paper, the distribution of aetiologic agents, clinical presentation, and evolution of pneumonia cases are described, and the factors associated with duration of pneumonia episode and of hospital admission examined. During June 1994-June 1995, 472 children, aged 6-59 months, with clinical diagnosis of pneumonia, who were admitted to hospital or treated as outpatients, were investigated in Recife, Northeast Brazil. Pneumonia, in most cases, was confirmed by radiology. A combination of methods was used for investigating the aetiology of pneumonia. Data obtained on a large number of clinical, socioeconomic and biological variables were analyzed to determine the prognostic factors for the severity and outcome of pneumonia. Bacteria were identified in 26.7% of the cases, while viruses and mixed infections accounted for 8.4% and 2.7% respectively. Haemophilus influenzae (18.9%), Streptococcus pneumoniae (6.4%), and respiratory syncytial virus (5.0%) were most often identified. The pneumonia case-fatality rate was 0.8%. The best clinical predictors of severity were: lung complications at baseline, tachypnoea (for duration of episode), and chest-indrawing (for duration of hospital admission). Young age, low birth-weight, and prolonged fever prior to admission to the study also predicted a more prolonged illness, and under-nutrition was a predictor of longer hospital stay. While the development of new vaccines is an important measure for reducing morbidity and mortality due to pneumonia, emphasis on appropriate case management needs to be maintained, with particular attention to children who show the identified risk factors for a poor prognosis

Development of Photonic Crystal Fiber Based Gas/ Chemical Sensors

The development of highly-sensitive and miniaturized sensors that capable of real-time analytes detection is highly desirable. Nowadays, toxic or colorless gas detection, air pollution monitoring, harmful chemical, pressure, strain, humidity, and temperature sensors based on photonic crystal fiber (PCF) are increasing rapidly due to its compact structure, fast response and efficient light controlling capabilities. The propagating light through the PCF can be controlled by varying the structural parameters and core-cladding materials, as a result, evanescent field can be enhanced significantly which is the main component of the PCF based gas/chemical sensors. The aim of this chapter is to (1) describe the principle operation of PCF based gas/ chemical sensors, (2) discuss the important PCF properties for optical sensors, (3) extensively discuss the different types of microstructured optical fiber based gas/ chemical sensors, (4) study the effects of different core-cladding shapes, and fiber background materials on sensing performance, and (5) highlight the main challenges of PCF based gas/ chemical sensors and possible solutions