2017
DOI: 10.1515/tmj-2017-0036
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Rate of convergence of Chlodowsky type Durrmeyer Jakimovski-Leviatan operators

Abstract: In this paper, we determine the rate of pointwise convergence of the Chlodowsky type Durrmeyer Jakimovski-Leviatan operators L * n (f, x) for functions of bounded variation. We use some methods and techniques of probability theory to prove our main result.

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Cited by 11 publications
(4 citation statements)
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“…Proof. We get Equation (9) easily by Equations (5) and (6) and [23]. From Equations (5), (7), (8) and…”
Section: Some Preliminary Resultsmentioning
confidence: 99%
“…Proof. We get Equation (9) easily by Equations (5) and (6) and [23]. From Equations (5), (7), (8) and…”
Section: Some Preliminary Resultsmentioning
confidence: 99%
“…There are many papers mentioned about Durrmeyer type positive linear operators, such as [25][26][27][28] and so on. The Durrmeyer type of ( , )-BBH operators can be introduced via equations (1), (2), (3), (4), (5), and (8) as follows:…”
Section: Durrmeyer Type Of ( )-Bbh Operatorsmentioning
confidence: 99%
“…In 1912, this classical result was proved by Bernstein [1] by constituting a sequence of linear positive operators known as the Bernstein operator. Thus far, this operator has been generalized and improved in various ways, and by now, there exists extensive literature on and around this operator and its modifications (see earlier studies [2][3][4][5][6][7][8]). A sequence of linear positive operators on an unbounded interval was proposed by Baskakov [9] in 1957.…”
Section: Introductionmentioning
confidence: 99%