On Rate of Approximation by Modified Beta Operators

نویسندگان

  • Prerna Maheshwari
  • Vijay K. Gupta
چکیده

We establish the rate of convergence for the modified Beta operators B n f, x, for functions having derivatives of bounded variation.

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

On genuine Lupac{s}-Beta operators and modulus of continuity

In the present article we discuss approximation properties of genuine Lupac{s}-Beta operators of  integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention  results on the weighted modulus of continuity for the genuine operators.

متن کامل

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.

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

Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems

Let $L$ be an integral and commutative quantale. In this paper, by fuzzifying the notion of generalized neighborhood systems, the notion of $L$-fuzzy generalized neighborhoodsystem is introduced and then a pair of lower and upperapproximation operators based on it are defined and discussed. It is proved that these approximation operators include generalized neighborhood system...

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:
  • Int. J. Math. Mathematical Sciences

دوره 2009  شماره 

صفحات  -

تاریخ انتشار 2009