General Gamma type operators based on q-integers
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Dosyalar
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we introduce the q-analogue of the general Gamma type operators. We establish the moments of the operators by using the q-derivatives and then prove the basic convergence theorem. Next, the Voronovskaja type theorem and some direct results for the above operators are discussed. Also, the rate of convergence and weighted approximation by these operators in terms of modulus of continuity are studied. Then, we obtain point-wise estimate using the Lipschitz type maximal function. Further, we study the A-statistical convergence of these operators. Lastly, we propose a king type modification of these operators to obtain better estimates. (C) 2014 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
General Gamma type operators, Rate of Convergence, Modulus of Continuity, Weighted Approximation, Pointwise Estimates, Statistical Convergence
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
251
