A NOTE ON MODIFIED BASKAKOV TYPE OPERATORS

In the present paper, we define a new kind of positive linear operators and study the rate of convergence in simultaneous approximation. This operator being capable of providing better approxima- tion than modified Baskakov operators.

ON THE CONVERGENCE OF THE MODIFIED SZASZ-MIRAKJAN OPERATOR

A necessary and sufficient condition of convergence for the modified Szasz-Mirakjan operator is estab- lished.

MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS FOR FINDING ROOTS OF MAXIMAL MONOTONE OPERATORS

In order to find roots of maximal monotone operators, this paper introduces and studies the modified approximate proximal point algorithm with an error sequence {e k} such that || ek || \leqslant hk || xk - [(x)\tilde]k ||\left\| { e^k } \right\| \leqslant \eta _k \left\| { x^k - \tilde x^k } \right\| with ?k = 0￥ ( hk - 1 ) < + ￥\sum\limits_{k = 0}^\infty {\left( {\eta _k - 1} \right)} and infk \geqslant 0 hk = m\geqslant 1\mathop {\inf }\limits_{k \geqslant 0} \eta _k = \mu \geqslant 1 . Here, the restrictions on {η k} are very different from the ones on {η k}, given by He et al (Science in China Ser. A, 2002, 32 (11): 1026–1032.) that supk \geqslant 0 hk = v < 1\mathop {\sup }\limits_{k \geqslant 0} \eta _k = v . Moreover, the characteristic conditions of the convergence of the modified approximate proximal point algorithm are presented by virtue of the new technique very different from the ones given by He et al.

On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities

Della Vecchia et al. （see [2]） introduced a kind of modified Bernstein operators which can be used to approximate functions with singularities at endpoints on [0,1]. In the present paper, we obtain a kind of pointwise Stechkin-type inequalities for weighted approximation by the modified Bemsetin operators.

Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function

We study the multiplication operator M by z2 and the q-Bessel operator Δq,αon a Hilbert spaces Fq,α of entire functions on the disk D( o, ) , 0qq,α into itself. Next, we study a generalized translation operators on Fq,α .

SOME APPROXIMATION THEOREMS FOR MODIFIED BERNSTEIN-DURRMEYER OPERATORS

The modified Bernstein-Durrmeyer operators discussed in this paper are given by M_nf≡M_n(f,x)=(n+2)P_(n,k)∫_0~1p_n+1.k(t)f(t)dt, where We will show,for 0<α<1 and 1≤p≤∞ M,f-f_p=O(n^-a)ω_Φ~2(f,t)_p=O(t^(2a)), |M_n f-f(x)|≤M(x(1-x)/n+1/_n2)~a/2ω(f,t)=O(t^a), where otherwise.

Modified Wide-angle Beam Propagation Method Using Douglas Operators

A modified wide-angle beam propagation based on the Douglas operators is presented.The truncation error in the modified wide-angle beam propagation is reduced to o (Δ x ) 4 in the transverse direction nearly without any increase of the computation time,whereas the error in the ordinary wide-angle beam propagation method is typically o (Δ x ) 2.With trivial programming changes,the accuracy is higher,especially in wide-angle propagation.

BERNSTEIN-KANTOROVICH OPERATORS ON A SIMPLEX

In this paper, we give the strong direct theorem and inverse theorem of weak type for multidimensional Kantorovich operators on simplexes.

Modified Generalized Degree Distance of Some Graph Operations

The modified generality degree distance, is defined as: ,?which is a modification of the generality degree distance. In this paper, we give some computing formulas of the modified generality degree distance of some graph operations, such as, composition, join, etc.

Extracorporeal membrane oxygenation in curing a young man after modified Fontan operation:A case report

BACKGROUND The Fontan operation is the only treatment option to change the anatomy of the heart and help improve patients’ hemodynamics.After successful operation,patients typically recover the ability to engage in general physical activity.As a better ventilatory strategy,extracorporeal membrane oxygenation(ECMO) provides gas exchange via an extracorporeal circuit,and is increasingly being used to improve respiratory and circulatory function.After the modified Fontan operation,circulation is different from that of patients who are not subjected to the procedure.This paper describe a successful case using ECMO in curing influenza A infection in a young man,who was diagnosed with Tausing-Bing syndrome and underwent Fontan operation 13 years ago.The special cardiac structure and circulatory characteristics are explored in this case.CASE SUMMARY We report a successful case using ECMO in curing influenza A infection in a 23-year-old man,who was diagnosed with Tausing-Bing syndrome and underwent Fontan operation 13 years ago.The man was admitted to the intensive care unit with severe acute respiratory distress syndrome as a result of influenza A infection.He was initially treated by veno-venous(VV) ECMO,which was switched to veno-venous-arterial ECMO(VVA ECMO) 5 d later.As circulation and respiratory function gradually improved,the VVA ECMO equipment was removed on May 1,2018.The patient was successfully withdrawn from artificial ventilation on May 28,2018 and then discharged from hospital on May 30,2018.CONCLUSION After the modified Fontan operation,circulation is different compared with that of patients who are not subjected to the procedure.There are certainly many differences between them when they receive the treatment of ECMO.Due to the special cardiac structure and circulatory characteristics,an individualized liquid management strategy is necessary and it might be better for them to choose an active circulation support earlier.

Modified Double Zeta Function and Its Properties

The present paper aims at introducing and investigating a new class of generalized double zeta function i.e. modified double zeta function which involves the Riemann, Hurwitz, Hurwitz-Lerch, Barnes double zeta function and Bin-Saad generalized double zeta function as particular cases. The results are obtained by suitably applying Riemann-Liouville type and Tremblay fractional integral and differential operators. We derive the expansion formula for the proposed function with some of its properties via fractional operators and discuss the link with known results.

Modified Appleby operation for carcinoma of the pancreatic body and tail

This is a case of a pancreatic tumor with invasion of the celiac stem treated using the modified Appleby operation.Preoperatively,routine B-ultrasound,computed tomography,and magnetic resonance imaging were performed.In the perioperative period,the combined gallbladder was excised;the duration of the operation was 5 h and volume of blood loss was approximately 500 ml.Postoperatively,the liver function temporarily returned and after a liver protection treatment,it returned to normal within 2 weeks.The liver had normal arterial blood supply,and the postoperative course was uneventful.It is safe and feasible to resect the whole pancreatic body and tail tumor combined with celiac stem resection.It can improve the resection rate of tumor and relieve pain.

Modified Foerster-Dandy 's operation for treatment of spasmodic torticollis under endoscope-assisting

Objective To study microsurgical effectiveness Foerster-Dandy’s endoscope-assisted operation for treatment of spasmodic torticollis. Methods 183 cases of spasmodic torticollis patients were treated by microsurgical modified Foerster-Dandy’s operation from July 2001 to June 2009,which was randomly

Modified Kugel补片在腹股沟嵌顿疝修补术中的应用28例

目的:探讨Modified Kugel补片治疗腹股沟嵌顿疝的技术要点,评价其效果。方法:回顾性分析国防科大医院2005年4月～2010年1月应用Modified Kugel补片手术治疗腹股沟嵌顿疝28例患者临床资料。结果:平均手术时间为58 min,术后平均住院日为7.5 d,术后恢复快,并发症少、轻,随访6～48个月,无复发。结论:Modified Kugel补片治疗腹股沟嵌顿疝是一种安全可靠、并发症少、复发率低的修补方式,尤其适宜于腹横筋膜薄弱或缺损较重的患者。

Modeling on a Modified Feeding Mode of Simulated Moving Bed for Improving Productivity

A new feeding mode for a simulated moving bed(SMB) is proposed.The outlet stream from zone II is collected at regular intervals.The concentration of the solution is increased by dissolving raw materials and then fed to zone III as the feed stream during the next collection interval.In this feeding mode,the concentration of the stream fed to zone III is identical to that of original feed,while in a conventional SMB,the feed is diluted by mix-ing with the outlet stream of zone II before feeding to zone III.The new feeding mode increases the inlet concentra-tion of zone III.A modeling investigation shows that higher inlet concentration of zone III increases the height of concentration band in SMB,improving the separation performance significantly.In comparison with the traditonal feeding mode,the new feeding mode increases the productivity by 23.52%and decreases the solvent consumption by 22.56%,so as to increase the raffinate and extract concentrations by 53.17%and 20.38%,respectively.The col-lection interval for the outlet stream from zone II has no effect on the separation performance after reaching the steady state,so that the collection interval can be increased to make the operation more convenient.

ON CERTAIN PROPERTIES OF THE COMBINATIONS OF SZáSZ-DURRMEYER OPERATORS

In the present paper we study properties of Szaisz-Durrmeyer operators. These operators are introduced in [5] and generalize the integral operators proposed by S.M.Mazhar and V.Totik in [ 12]. We also generalize some results obtained by M. Heilmann[6] and D.-X. Zhou[16].

Operator Equation and Application of Variation Iterative Method

In this paper, we study some semi-closed 1-set-contractive operators A and investigate the boundary conditions under which the topological degrees of 1-set contractive fields, deg (I-A, Ω, p) are equal to 1. Correspondingly, we can obtain some new fixed point theorems for 1-set-contractive operators which extend and improve many famous theorems such as the Leray-Schauder theorem, and operator equation, etc. Lemma 2.1 generalizes the famous theorem. The calculation of topological degrees and index are important things, which combine the existence of solution of for integration and differential equation and or approximation by iteration technique. So, we apply the effective modification of He’s variation iteration method to solve some nonlinear and linear equations are proceed to examine some a class of integral-differential equations, to illustrate the effectiveness and convenience of this method.

The applied value of modified POSSUM score in evaluating lung cancer surgery’s risk

Objective: The aim of this study was to explore the modified physiological and operative severity score for the enumeration of mortality and morbidity (POSSUM) scoring system and the relationship between predicted data and actual data of complication and surgical mortality of lung cancer radical surgery made by such score system. Methods: Retrospective analysis on the 86 cases of the clinical materials of patients with primary lung cancer radical surgery for thoracic surgery of line lung cancer in the 81st Hospital of PLA from October 2010 to October 2011 and using the POSSUM scoring system to predict the cases of postoperative complication and death toll, then making a comparison with the actual cases. Results: The POSSUM scoring system predicting 29 cases of postoperative complications, but 32 cases of practical complications, the difference between them has no statistical significance (P﹥0.05), 8 cases of predicted postoperative deaths, 2 cases of practical deaths, by comparison, there was statistical significance (P﹤0.05). Conclusion: The modified POSSUM scoring system can be used to predict the postoperative complication of lung surgery patients, but sometimes overestimates the postoperative death cases.

Generalization of Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Cho-Kwon-Srivastava Operator

Making use of the Cho-Kwon-Srivastava operator, we introduce and study a certain SCn (j, p, λ, α, δ) of p-valently analytic functions with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorem, radii of close-to-convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class SCn (j, p, λ, α, δ). Finally, several applications investigate an integral operator, and certain fractional calculus operators also considered.

基于双参数的修正Bernstein-Kantorovich算子的逼近性质

通过引入参数定义了一种广义的Bernstein-Kantorovich算子,研究了它的一些近似性质,导出了新算子的Voronovskaya型定理,利用光滑模和Peetre’-K泛函估计了该算子的收敛速度。结果表明,新算子具有良好的近似性质。