On statistical approximation properties of the Kantorovich type Lupaş operators

Doğru, Ogün; Kanat, Kadir

doi:10.1016/j.mcm.2011.10.059

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Cited by 14 publications

(6 citation statements)

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“…(10.2) Doru and Kanat [26] proved the following statistical Korovkin-type approximation theorem for operators (10.2).…”

Section: Weighted Statistical Approximationmentioning

confidence: 99%

On approximation properties of Baskakov–Schurer–Szász operators

Mishra¹,

Sharma

2016

Applied Mathematics and Computation

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In this paper, we are dealing with a new type of Baskakov-Schurer-Szász operators (1.2). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the convergence in certain weighted spaces is investigated. We study q-analogues of Baskakov-Schurer-Szász operators and it's Stancu generalization. In the last section, we give better error estimations for the operators (6.3) using King type approach and obtained weighted statistical approximation properties for operator (9.1).

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“…(10.2) Doru and Kanat [26] proved the following statistical Korovkin-type approximation theorem for operators (10.2).…”

Section: Weighted Statistical Approximationmentioning

confidence: 99%

On approximation properties of Baskakov–Schurer–Szász operators

Mishra¹,

Sharma

2016

Applied Mathematics and Computation

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show abstract

“…They proved the Bohman−Korovkin type approximation theorem for statistical convergence. For further information related to the statistical approximation of the operators, the followings are remarkable among others: [13][14][15][16][17]. Now, we may begin the following lemma which is needed proving our main result.…”

Section: Statistical Approximation Propertiesmentioning

confidence: 99%