This paper discusses the approximation problem of two kinds Durrmeyer rational interpolation operators in Orlicz spaces with weight functions,and gives a kind of Jackson type estimation of approximation order by means...This paper discusses the approximation problem of two kinds Durrmeyer rational interpolation operators in Orlicz spaces with weight functions,and gives a kind of Jackson type estimation of approximation order by means of continuous modulus, Hardy-Littlewood maximal function, convexity of N function and Jensen inequality.展开更多
Based on a node group <img src="Edit_effba4ca-e855-418a-8a72-d70cb1ec3470.png" width="240" height="46" alt="" />, the Newman type rational operator is constructed in the p...Based on a node group <img src="Edit_effba4ca-e855-418a-8a72-d70cb1ec3470.png" width="240" height="46" alt="" />, the Newman type rational operator is constructed in the paper. The convergence rate of approximation to a class of non-smooth functions is discussed, which is <img src="Edit_174e8f70-651b-4abb-a8f3-a16a576536dc.png" width="85" height="50" alt="" /> regarding to <em>X</em>. Moreover, if the operator is constructed based on further subdivision nodes, the convergence rate is <img src="Edit_557b3a01-7f56-41c0-bb67-deab88b9cc63.png" width="85" height="45" alt="" />. The result in this paper is superior to the approximation results based on equidistant nodes, Chebyshev nodes of the first kind and Chebyshev nodes of the second kind.展开更多
Behavioral operations management(BOM)is one of the new areas in operations management.In the past 12 years,the field has made huge progress and researchers have become interested in this new perspective to solving ope...Behavioral operations management(BOM)is one of the new areas in operations management.In the past 12 years,the field has made huge progress and researchers have become interested in this new perspective to solving operational problems.BOM is now one of the major subfields of operations management.In this paper,we examine and categorize areas of BOM based on the mainstream literature.Key areas include behavioral issues in new product development and project management,quality management,production management,inventory management,service operations,and forecasting.Studies in each area are divided into three subcategories,including OM context,individual attributes,heuristics,and biases,and individual differences.In OM context category,feedback and reward,training,work monitoring,teamwork and group decision making,goal setting,task assignment,and flexibility are among the main topics.In individual attributes,heuristics,and biases category,sunk cost effect and escalation of commitment,endowment effect,overprecision bias,planning fallacy,pullto-center effect,anchoring and insufficient adjustment,and misperceptions of feedback are mainly discussed.In individual differences,analytic thinking and system thinking are mainly studied.New areas for research are suggested in each related section and are summarized in future directions and conclusion sections.In contexts such as new product development,project management,and inventory management,a shift to finding solution to performance improvement is beneficial instead of focusing on heuristics and biases and considering them as a deficiency in human decision making.Regarding individual differences category,a shift toward attributes other than cognitive abilities,such as global processing,creative thinking,and design thinking are recommended.展开更多
The approximation of |x| by rational functions is a classical rational problem.This paper deals with the rational approximation of the function x~αsgnx, which equals |x| ifα=1.We construct a Newman type operator r_n...The approximation of |x| by rational functions is a classical rational problem.This paper deals with the rational approximation of the function x~αsgnx, which equals |x| ifα=1.We construct a Newman type operator r_n(x) and show{|x~αsgnx-r_n(x)|}～Cn^(-(α/2)e-(2nα)^(1/2)), where C is a constant depending onα.展开更多
Recently Brutman and Passow considered Newman-type rational interpolation to |x| induced by arbitrary sets of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods,one c...Recently Brutman and Passow considered Newman-type rational interpolation to |x| induced by arbitrary sets of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods,one could establish the exact order of approximation for some special nodes.In the present note we consider the sets of interpolation nodes obtained by adjusting the Chebyshev roots of the second kind on the interval [0,1] and then extending this set to [-1,1] in a symmetric way.We show that in this case the exact order of approximation is O( 1 n 2 ).展开更多
The purpose of this paper is to approach the administrative costs in the field of education and to answer questions such as:How are administrative costs measured and evaluated?Is it taken into account in the analysis ...The purpose of this paper is to approach the administrative costs in the field of education and to answer questions such as:How are administrative costs measured and evaluated?Is it taken into account in the analysis of policy options?Administrative costs affect all areas of public education and absorb a large part of the state budget appropriations intended for education.Through the presentation of the general and specific objectives but also the European participation in the rational management of the management costs of the educational units,we lead to a holistic approach to the operational costs of the education that is part of the social costs.展开更多
Penetrating head injury is rare,and thus management of such injuries is non-standard.Early diagnosis and intraoperative comprehensive exploration are necessary considering the complexity and severity of the trauma.How...Penetrating head injury is rare,and thus management of such injuries is non-standard.Early diagnosis and intraoperative comprehensive exploration are necessary considering the complexity and severity of the trauma.However,because of the lack of microsurgical techniques in local hospitals,the possible retained foreign bodies and other postoperative complications such as cerebrospinal fluid(CSF)leak usually require a rational design for a secondary operation to deal with.We present a case of a 15-year-old boy who was stabbed with a bamboo stick in his left eye.The chopsticks passed through the orbit roof and penetrated the skull base.In subsequent days,the patient sustained CSF leak and intracranial infection after an unsatisfied primary treatment in the local hospital and had to request a secondary operation in our department.Computed tomography including plain scan,three dimension recon-struction and computed tomographic angiography are used to determine the course and extent of head injury.A frontal craniotomy was performed.Three pieces of stick were found residual and removed with the comminuted orbit bone fragments.A pedicled temporalis muscle fascia graft was applied to repair the frontier skull base and a free temporalis muscle flap to seal the frontal sinus defect.Aggressive broad-spectrum antibiotics of vancomycin and meropenem were administrated for persistent fever after operation.CSF external drainage system continued for 12 days,and was removed 10 days after tem-perature returned to normal.The Glasgow coma scale score was improved to 15 at postoperative day 7 and the patient was discharged at day 22 uneventfully.We believe that appropriate preoperative surgical plan and thorough surgical exploration by microsurgery is essential for attaining a favorable outcome,especially in secondary operation.Good postoperative recovery depends on successfully management before and after operation for possible complications as well.展开更多
基金Supported by the National Natural Science Foundation of China（liT61055） Supported by the Inner Mongolia Autonomous Region Natural Science Foundation of China（2017MS0123）
文摘This paper discusses the approximation problem of two kinds Durrmeyer rational interpolation operators in Orlicz spaces with weight functions,and gives a kind of Jackson type estimation of approximation order by means of continuous modulus, Hardy-Littlewood maximal function, convexity of N function and Jensen inequality.
文摘Based on a node group <img src="Edit_effba4ca-e855-418a-8a72-d70cb1ec3470.png" width="240" height="46" alt="" />, the Newman type rational operator is constructed in the paper. The convergence rate of approximation to a class of non-smooth functions is discussed, which is <img src="Edit_174e8f70-651b-4abb-a8f3-a16a576536dc.png" width="85" height="50" alt="" /> regarding to <em>X</em>. Moreover, if the operator is constructed based on further subdivision nodes, the convergence rate is <img src="Edit_557b3a01-7f56-41c0-bb67-deab88b9cc63.png" width="85" height="45" alt="" />. The result in this paper is superior to the approximation results based on equidistant nodes, Chebyshev nodes of the first kind and Chebyshev nodes of the second kind.
文摘Behavioral operations management(BOM)is one of the new areas in operations management.In the past 12 years,the field has made huge progress and researchers have become interested in this new perspective to solving operational problems.BOM is now one of the major subfields of operations management.In this paper,we examine and categorize areas of BOM based on the mainstream literature.Key areas include behavioral issues in new product development and project management,quality management,production management,inventory management,service operations,and forecasting.Studies in each area are divided into three subcategories,including OM context,individual attributes,heuristics,and biases,and individual differences.In OM context category,feedback and reward,training,work monitoring,teamwork and group decision making,goal setting,task assignment,and flexibility are among the main topics.In individual attributes,heuristics,and biases category,sunk cost effect and escalation of commitment,endowment effect,overprecision bias,planning fallacy,pullto-center effect,anchoring and insufficient adjustment,and misperceptions of feedback are mainly discussed.In individual differences,analytic thinking and system thinking are mainly studied.New areas for research are suggested in each related section and are summarized in future directions and conclusion sections.In contexts such as new product development,project management,and inventory management,a shift to finding solution to performance improvement is beneficial instead of focusing on heuristics and biases and considering them as a deficiency in human decision making.Regarding individual differences category,a shift toward attributes other than cognitive abilities,such as global processing,creative thinking,and design thinking are recommended.
文摘The approximation of |x| by rational functions is a classical rational problem.This paper deals with the rational approximation of the function x~αsgnx, which equals |x| ifα=1.We construct a Newman type operator r_n(x) and show{|x~αsgnx-r_n(x)|}～Cn^(-(α/2)e-(2nα)^(1/2)), where C is a constant depending onα.
基金Supported by the National Natural Science Foundation of China (Grant No. 10601065)
文摘Recently Brutman and Passow considered Newman-type rational interpolation to |x| induced by arbitrary sets of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods,one could establish the exact order of approximation for some special nodes.In the present note we consider the sets of interpolation nodes obtained by adjusting the Chebyshev roots of the second kind on the interval [0,1] and then extending this set to [-1,1] in a symmetric way.We show that in this case the exact order of approximation is O( 1 n 2 ).
文摘The purpose of this paper is to approach the administrative costs in the field of education and to answer questions such as:How are administrative costs measured and evaluated?Is it taken into account in the analysis of policy options?Administrative costs affect all areas of public education and absorb a large part of the state budget appropriations intended for education.Through the presentation of the general and specific objectives but also the European participation in the rational management of the management costs of the educational units,we lead to a holistic approach to the operational costs of the education that is part of the social costs.
文摘Penetrating head injury is rare,and thus management of such injuries is non-standard.Early diagnosis and intraoperative comprehensive exploration are necessary considering the complexity and severity of the trauma.However,because of the lack of microsurgical techniques in local hospitals,the possible retained foreign bodies and other postoperative complications such as cerebrospinal fluid(CSF)leak usually require a rational design for a secondary operation to deal with.We present a case of a 15-year-old boy who was stabbed with a bamboo stick in his left eye.The chopsticks passed through the orbit roof and penetrated the skull base.In subsequent days,the patient sustained CSF leak and intracranial infection after an unsatisfied primary treatment in the local hospital and had to request a secondary operation in our department.Computed tomography including plain scan,three dimension recon-struction and computed tomographic angiography are used to determine the course and extent of head injury.A frontal craniotomy was performed.Three pieces of stick were found residual and removed with the comminuted orbit bone fragments.A pedicled temporalis muscle fascia graft was applied to repair the frontier skull base and a free temporalis muscle flap to seal the frontal sinus defect.Aggressive broad-spectrum antibiotics of vancomycin and meropenem were administrated for persistent fever after operation.CSF external drainage system continued for 12 days,and was removed 10 days after tem-perature returned to normal.The Glasgow coma scale score was improved to 15 at postoperative day 7 and the patient was discharged at day 22 uneventfully.We believe that appropriate preoperative surgical plan and thorough surgical exploration by microsurgery is essential for attaining a favorable outcome,especially in secondary operation.Good postoperative recovery depends on successfully management before and after operation for possible complications as well.
