Some approximation results on modified positive linear operators

نویسنده

  • Shiv Kumar Sahoo
چکیده

Recently Deo N.et.al.1. INTRODUCTION Recently Deo N.et.al. [1] Introduced new Bernstein type special operators defined as, Again Deo N.et.al. [1] gave the integral modification of the operators (1.1) which are defined as , and prove some approximation results on the operators (1.2). Singh S.P. [4] studied some approximation results on a sequence of Szȧ sz type operators defined as, which map the space of bounded continuous funtions into itself following [3]. Kasana H.S. et. el. [2] obtained a sequence of modified Szậsz operators for integrable function on defined as, Motivated by Deo N.et.al.[1] we introduce a sequence of positive linear operators which are defined as,. we shall study some approximation results on the operators (1.5). Again following Kasana H.S. et. el. [2] we introduce a sequence of positive linear operators which are defined as, and shall study some approximation results on the operators (1.6). In order to prove our main result, the following basic results are needed.

برای دانلود رایگان 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

On 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 کامل

Rate of convergence for some linear positive operators for bounded variation functions

Abstract: Gupta and Ahmad [1] introduced the modified Beta operators Bn ( f , x )and estimated some direct results in simultaneous approximation. In the present paper, we study certain integral modification of the well known modified Beta-Stancu operators with the weight function of Beta basis function. We establish rate of convergence for these operators for functions having derivatives of bou...

متن کامل

Some Approximation Properties for Modified Baskakov Type Operators

We study some direct results for the recently introduced family of modified Baskakov type operators. In particular, we obtain local direct results on ordinary and simultaneous approximation and an estimation of error for linear combinations in terms of higher order modulus of continuity. We have applied the Steklov mean as a tool for the linear approximating method. 2000 Mathematics Subject Cla...

متن کامل

Pointwise Weighted Approximation of Functions with Endpoint Singularities by Combinations of Bernstein Operators

Approximation properties of Bernstein operators have been studied very well (see [2], [3], [5]-[8], [12]-[14], for example). In order to approximate the functions with singularities, Della Vecchia et al. [3] and Yu-Zhao [12] introduced some kinds of modified Bernstein operators. Throughout the paper, C denotes a positive constant independent of n and x, which may be different in different cases...

متن کامل

On the Approximation Properties of q-Laguerre type Modification of Meyer König and Zeller Operators

In the present paper, we introduce a Laguerre type positive linear operators based on the q-integers including the q-Meyer König and Zeller operators defined by Doğru and Duman in [7]. Then we obtain some results about Korovkin type approximation properties and rates of convergence for this generalization. Key-Words: Positive linear operators, q-Meyer König and Zeller operators, qLaguerre polyn...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012