This paper introduces a generalization sequence of positive and linear operators of integral type based on two parameters to improve the order of approximation. First, the simultaneous approximation is studied and a Voronovskaja-type asymptotic formula is introduced. Next, an error of the estimation in the simultaneous approximation is found. Finally, a numerical example to approximate a test function and its first derivative of this function is given for some values of the parameters.
Background: With the recent widespread use of over- the- counter drugs, there has been a noticeable increase in the occurrence of gastrointestinal discomfort and peptic ulcer disease. However, peptic ulcer is a highly complex disorder resulting from an imbalance between gstricdestructive and protective factors. Objectives: To identifyrisk factors of peptic ulcer disease. Methods: This study was organized at Al-Basra teaching hospital and Al Sader teaching hospital in Basrah city, Iraq. Medical records and questionnaires filled by patients undergoing diagnostic and therapeutic upper gastrointestinal endoscopies following their gastric discomfort complaints. Information related to patients, disease history and medication history during six months prior to endoscopy procedures was collected. Results: A total of 476 patients were identified, including 246 (51.7%) patients with endoscopically diagnosed peptic ulcers and 230 (48.3%) patients without peptic ulcers. The population was predominately male and there were significant differences between age groups.Smoking correlated with a high relative risk;however, alcohol drinking had no significant role as a causative factor. The most extensively used drugs by patients who complained of peptic ulcers are NSAIDs, iron supplements, corticosteroids, and antiplatelet agents. A small number of patients weretreated for hypertension and diabetes, which were correlated with peptic ulcer risks. The presence of H-pylori infections was significantly associated with peptic ulcer diagnosis. Conclusion: The risk of peptic ulcer disease appeared to increase with chronic medication use and smoking, which aggravatethe contributing risk by H-pylori infections.
In our paper, we provide and study a new sequence of positive and linear operators of integral type. This sequence depends on two parameters, positive integers and. We mention some of the properties of this sequence and describe a Voronovskaja type asymptotic formula. Besides, we find the error estimates of this approximation in terms of the modulus of continuity. lastly, we introduce a numerical example and compare the results obtained.
In the light of the rapid developments and changes in different directions, educational institutions at all levels need leaderships which are able to achieve the objectives of these institutions in the appropriate manner, so that they can adapt to these changes to ensure continuity and success in achieving the objectives of these institutions. This can be achieved only with the satisfaction of the employees work for these institutions. This satisfaction is going to be reflected the feelings of happiness resulting from the perception of the individual to the direction of the job. Which gives the job an important value is the desire of the individual to work with dedication and sincerity and a rush to accomplish the tasks entrusted to him. This research focused on the study of administrative leadership in terms of its concept, importance and characteristics, and what is the impact of its practices on the faculty of education and employment at the university. So as the ability of administrative leadership in creating a state of job satisfaction among the workers, in order to reach the achievement of dedication and sincerity and the perfection of performance which aims to achieve the scientific and educational goals of the University. The French University of Picardy Jules Verne was chosen as a model for study.
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