Voronovskaja-type Theorem for Certain Gbs Operators

نویسندگان

  • Ovidiu T. Pop
  • O. T. POP
چکیده

In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive operator.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ovidiu T . Pop VORONOVSKAJA - TYPE THEOREMS AND APPROXIMATION THEOREMS FOR A CLASS OF GBS OPERATORS

In this paper we will demonstrate a Voronovskajatype theorems and approximation theorems for GBS operators associated to some linear positive operators. Through particular cases, we obtain statements verified by the GBS operators of Bernstein, Schurer, Durrmeyer, Kantorovich, Stancu, BleimannButzer-Hahn, Mirakjan-Favard-Szász, Baskakov, Meyer-König and Zeller, Ismail-May.

متن کامل

Blending Type Approximation by Bernstein-durrmeyer Type Operators

In this note, we introduce the Durrmeyer variant of Stancu operators that preserve the constant functions depending on non-negative parameters. We give a global approximation theorem in terms of the Ditzian-Totik modulus of smoothness, a Voronovskaja type theorem and a local approximation theorem by means of second order modulus of continuity. Also, we obtain the rate of approximation for absol...

متن کامل

On a General Class of Linear and Positive Operators

Suppose that (Lm)m≥1 is a given sequence of linear and positive operators. Starting with the mentioned sequence, the new sequence (Km)m≥1 of linear and positive operators is constructed. For the operators (Km)m≥1 a convergence theorem and a Voronovskaja-type theorem are established. As particular cases of the general construction, we refined the Bernstein’s operators, the Stancu’s operators, th...

متن کامل

SOME BIVARIATE DURRMEYER OPERATORS BASED ON q–INTEGERS

In the present paper we introduce a q -analogue of the bivariate Durrmeyer operators. A convergence theorem for these operators is established and the rate of convergence in terms of modulus of continuity is determined. Also, a Voronovskaja type theorem has been investigated for these operators. Mathematics subject classification (2010): 41A10, 41A36.

متن کامل

On the Voronovskaja-type formula for the Bleimann, Butzer and Hahn bivariate operators

In this paper we present two new alternative ways for the proof of Voronovskaja-type formula of the Bleimann, Butzer and Hahn bivariate operators, using the close connection between the recalled operators and Bernstein bivariate operators, respectively Stancu bivariate operators.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008