Modified Stancu operators based on inverse Polya Eggenberger distribution

On Some Properties and Estimation of Size-Biased Polya-Eggenberger Distribution

Statistical approximation properties of modified q-Stancu-Beta operators

In this paper we define the modified q-Stancu-Beta operators and study the weighted statistical approximation by these operators with the help of the Korovkin type approximation theorem. We also establish the rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function. Our results show that rates of convergence of our operators are at least as ...

Approximation by $(p,q)$-Lupac{s} Stancu Operators

In this paper, $(p,q)$-Lupas Bernstein Stancu operators are constructed. Statistical as well as other approximation properties of $(p,q)$-Lupac{s} Stancu operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.

On q-analogue of Bernstein-Schurer-Stancu operators

Keywords: q-Bernstein–Schurer–Stancu operators q-integers Modulus of smoothness Rate of convergence a b s t r a c t In the present paper, we introduce the Stancu type generalization of the Bernstein–Schurer operators based on q integers. First, we prove the basic convergence of S ða;bÞ n;p ð:; q; xÞ and then obtain the rate of convergence by these operators in terms of the modulus of continuity...

ON CONVERGENCE PROPERTIES OF GAMMA–STANCU OPERATORS BASED ON q–INTEGERS

In this paper we introduce Stancu type generalization of Gamma operators based on the concept of q -integers. We first establish local approximation theorems for these operators. Next, we investigate the weighted approximation properties and give an estimate for the rate of convergence using classical modulus of continuity. Lastly, we obtain a Voronovskaya type theorem. Mathematics subject clas...