In this paper, we study the order of convergence of the linear positive Beta operators by means of the Peetre-K functional and of the functions from Lipschitz class. Furthermore we introduce a generalization of r-th order of these operators and also investigate approximation properties of them. Finaly we give an applications to differential equations.
We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an rth order generalization of these operators and observe its approximation… (More)
PURPOSE To evaluate of functional and cosmetic effectiveness of lower eyelid sling technique with fascia lata graft in patients with lagophthalmos due to facial paralysis. MATERIAL AND METHOD Ten patients with a mean age of 55.1 ± 19.77 years who underwent lower eyelid sling surgery with a fascia lata graft between September 2011 and January 2014 were… (More)
PURPOSE To compare the outcomes of external dacryocystorhinostomy (E-DCR) by using two different flap anastomosis patterns and skin incision types. METHODS This study included 79 patients (88 eyes) with lacrimal drainage system disorders who underwent E-DCR surgery. Fifty eyes of 44 patients (group A) underwent E-DCR by suturing anterior and posterior… (More)
In this paper, we present a sequence of linear positive bivariate operators and investigate the approximation properties of them. Next we study the rates of converge of this approximation by means modulus of continuity and functions from Lipschitz class. After we give a Voronovskaya type theorem for n Morever, we give an r th order generalization of these… (More)