General Gamma type operators based on q-integers

Harun Karsli, P.N. Agrawal and Meenu Goyal

Applied Mathematics and Computation, 2015, vol. 251, issue C, 564-575

Abstract: 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.

Keywords: General Gamma type operators; Rate of convergence; Modulus of continuity; Weighted approximation; Pointwise estimates; Statistical convergence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:564-575

DOI: 10.1016/j.amc.2014.11.085

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