In this study, some infinite sums related to the k-Fibonacci numbers have been obtained by using infinite sums related to classic Fibonacci numbers in literature.

In this letter, we will consider the use of the variational iteration method and Pad\'e approximant for finding approximate solutions for a Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The solutions are compared with the numerical (fourth-order Runge Kutta) solutions.

In this paper, we have developed a new method called Generalized Taylor collocation method (GTCM), which is based on the Taylor collocation method, to give approximate solution of linear fractional differential equations with variable coefficients. Using the collocation points, this method transforms fractional differential equation to a matrix equation which corresponds to a system of linear algebraic equations with unknown Generalized Taylor coefficients. Generally, the method is based on computing the Generalized Taylor coefficients by means of the collocation points. This method does not require any intensive computation. Moreover, It is easy to write computer codes in any symbolic language. Hence, the proposed method can be used as effective alternative method for obtaining analytic and approximate solutions for fractional differential equations. The effectiveness of the proposed method is illustrated with some examples. The results show that the method is very effective and convenient in predicting the solutions of such problems.

Waist circumference is accepted as a better index of nutrition-related health risks. In this study we aimed to evaluate whether the measurement of waist circumference may clinically be useful as a predictor of obesity/ underweight in children or not. This descriptive and cross-sectional study was carried out on 2572 children selected by the cluster sampling method from 178 primary and high schools in Konya. Height, weight, hip and waist circumference were measured in all the cases. The differences of waist circumference according to age and gender were compared to Body Mass Index specific to age and gender. The mean value of waist circumference in boys was statistically greater than that of girls at the ages of 8, 10, 11, 15, 16, 17 and 18. Body Mass Index was statistically greater in boys than girls in the age group of 18 (p=0.037). Obesity prevalence was 7.7% in 8-yearold girl students and 5.3% in 9and 14-year-old boy students. Prevalence of being overweight was 10.9% in 13-year-old girl students and 11.5% in 8 year-old boy students. Prevalence of being underweight was 17.9% in 18-year-old girl students and 20.0% in 7-year-old boy students. Waist circumference measurement is a very cheap, simple, easy and non-invasive method. Therefore, child nutrition can be closely monitored by measurement of waist circumference.

Boundary conditions in an unbounded domain, i.e. boundary condition at infinity, pose a problem in general for the numerical solution methods. The aim of this study is to overcome this difficulty by using Padé approximation with the differential transform method (DTM) on a form of classical Blasius equation. The obtained results are compared with, for the first time, the ones obtained by using a modified form of Adomian decomposition method (ADM). Furthermore, in order to see the consistency of solutions, they are also compared with the ones obtained by using variational iteration method (VIM).

Bu derleme calismasinda, bir otonom adi diferensiyel denklemin asimptotik kararli cozumunun devami icin baslangic degerindeki sinirlamayi veren kavramlar tartisilmistir. Bunun icin Lyapunov anlaminda kararlilik dikkate alinarak kararlilik kalitesini belirten parametresi yardimiyla global anlamda asimptotik kararlilik icin bir ornek uzerinde cozumun cekim bolgesi alt siniri, kuadratik Lyapunov fonksiyonlari kullanilarak hesaplanmistir.

Objective: We aimed to investigate the quality of life and depression among police officers who are quite vulnerable to psychological effects due to the nature of the job they perform. Material and Methods: This cross-sectional study was carried out between May 25112006 and June 15(th) 2006 among 492 police officers working at the Police Organization of Konya. Depression level was examined through the Beck depression Inventory (BDI). In addition, QoL was assessed using the WHO QoL-BREF questionnaire. Results: Of all the participants, 467 (94.9%) were male, and 25 (5.1%) female. Mean age was 37.39 +/- 6.50 (min = 22, max = 53). When the cut-off point of BDI was considered 17.403 (81.9%) police officers had BDI <= 16, and 89 (18.1%) had BDI >= 17 (depressive). The frequency of depression level was significantly higher among the police officers who were in debts, not home owners and could not afford to pay their credit card balances on time (p < 0.05). Thus, there seemed to be a positive correlation between stress and economical problems. Besides, QoL scores were significantly lower among the depressive individuals than non-depressive ones (p < 0.001). Conclusion: As the study clearly indicates, QoL scores were significantly lower among depressive individuals. These results indicate that police officers are subject to high levels of psychological risk. There is an obvious need to provide psychological support and consulting services to the police.

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Amac: Yasam kalitesi kisinin fiziksel sagligini, psikolojik sagligini, sosyal iliskiler ve cevresini icine alan genis bir kavramdir. Belediye zabita memurlarinda depresyon ve sigara icme durumunun yasam kalitesi uzerine etkilerinin incelenmesi amaclanmistir. Yontem: Kesitsel bir arastirma olan bu calisma Konya Zabita Mudurlugu’nde gorevli 157 zabita memurunun katilimiyla gerceklestirilmistir. Arastirmamizda sosyo-demografik bilgi formu, WHOQOLBREF yasam kalitesi anketi ve Beck Depression Olcegi (BDI) kullanilmistir. Bulgular: Katilanlarin, %99.4’u (s=156) erkek, %79.6’si (s=125) orta okul ve lise egitimli, yaslari 22-57 arasinda (ortalama 39.33±7.29) idi. Katilimcilarin 117’si (%74.5) borclu idi ve 77’si (%49.1) sigara iciyordu. Yasam kalitesi fiziksel saglikta (p<0.001), psikolojik saglikta (p<0.001), sosyal iliskilerde (p<0.001) ve genel saglik alanlarinda depresif kisilerde depresif olmayanlara gore onemli olcude dusuktu. Sonuc: Bu calismada, zabita memurlarinin yaklasik olarak yarisi sigara icicisi idi ve depressif bulgulari vardi. Depresyon ve sigaranin gelecekte yapacagi olumsuz etkileri onlemek icin zabitalarda strese yol acan sebepleri anlamak onemlidir. Anahtar Kelimeler: Depresyon, Zabita memuru, Sigara, Yasam kalitesi.

Objectives: Quality of Life (QoL) is a broad concept incorporating the person's physical health, psychological health, social relationships and environment. In this study, we aimed to establish the effects of depression and the smoking status upon the quality of life among municipal police officers.Patients and Methods: : This cross-sectional study was carried out among 157 municipal police officers working at the Municipal Department of Konya. A socio-demographical information form, World Health Organization Quality of Life (WHOQOL-BREF) and Beck Depression Inventory (BDI) were applied. Qol was assessed using the WHOQOL-BREF questionnaire.Results: Of the participants, 99.4% (n=156) were men, 79.6% (n=125) had secondary and high school level education and they were aged between 22-57 (mean=39.33 +/- 7.29). Of the total, 117 (74.5%) were indebted and 77 (49.1%) were current smokers. Quality of life scores in the domains of physical health (p<0.001), psychological health (p<0.001), social relationships (p<0.001) and general health (p<0.001) were significantly lower among the depressive persons than the non-depressive ones.Conclusion: Approximately half of the municipal police officers had depressive symptoms and were smokers. To prevent the negative manifestations of depression and smoking that might occur in the future, it is important to understand the origins of the stresso.