On Convergence Properties of Szasz-Mirakyan-Bernstein Operators of two Variables
نویسنده
چکیده
In this study, we have constructed a sequence of new positive linear operators with two variable by using Szasz-Mirakyan and Bernstein Operators, and investigated its approximation properties.
منابع مشابه
On Modified Szasz–mirakyan Operators
We consider certain modifications of Szasz-Mirakyan operators Sn in exponential weighted spaces Cq of continuous functions and operators Tn in L p spaces of Lebesgue integrable functions. We give theorems on approximation properties of these operators. AMS Mathematics Subject Classification (2000): 41A36
متن کاملOn the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators
In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Li...
متن کاملIterated Bernstein polynomial approximations
Iterated Bernstein polynomial approximations of degree n for continuous function which also use the values of the function at i/n, i = 0, 1, . . . , n, are proposed. The rate of convergence of the classic Bernstein polynomial approximations is significantly improved by the iterated Bernstein polynomial approximations without increasing the degree of the polynomials. The same idea applies to the...
متن کاملA Survey of Results on the Limit q-Bernstein Operator
The limit q-Bernstein operator B q emerges naturally as a modification of the Szász-Mirakyan operator related to the Euler distribution, which is used in the q-boson theory to describe the energy distribution in a q-analogue of the coherent state. At the same time, this operator bears a significant role in the approximation theory as an exemplarymodel for the study of the convergence of the q-o...
متن کاملModified double Szász - Mirakjan operators preserving x
In this paper, we introduce a modification of the Szász-Mirakjan type operators of two variables which preserve f0 (x, y) = 1 and f3 (x, y) = x 2 + y. We prove that this type of operators enables a better error estimation on the interval [0,∞) × [0,∞) than the classical Szász-Mirakjan type operators of two variables. Moreover, we prove a Voronovskaya-type theorem and some differential propertie...
متن کامل