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Rate of pointwise convergence of a new kind of gamma operators for functions of bounded variation

✍ Scribed by Harun Karsli; Vijay Gupta; Aydin Izgi

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
393 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

In the present paper we investigate the behavior of the operators L n (f , x), defined as

and give an estimate of the rate of pointwise convergence of these operators on a Lebesgue point of bounded variation function f defined on the interval (0, ∞). We use analysis instead of probability methods to obtain the rate of pointwise convergence. This type of study is different from the earlier studies on such a type of operator.

📜 SIMILAR VOLUMES

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In the present paper, we estimate the rate of pointwise convergence of the Bézier Variant of Chlodowsky operators C n, for functions, defined on the interval extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory.

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