Stancu type generalization of modified Srivastava-Gupta operators
Keywords:
Srivastava-Gupta operators, rate of convergence, modulus of continuity, weighted approximation, pointwise estimates, A-statistical convergenceAbstract
In this paper, we introduce a Stancu type generalization of modified Srivastava-Gupta operators. We obtain the moments of the operators and then prove the basic convergence theorem. Next, the Voronovskaja type asymptotic formula 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 estimates using the Lipschitz type maximal function and two parameter Lipschitz-type space. Further, we study the A-statistical convergence of these operators. Lastly, we give better estimations of the above operators using King type approach.Downloads
Published
2017-07-11
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How to Cite
Stancu type generalization of modified Srivastava-Gupta operators. (2017). European Journal of Pure and Applied Mathematics, 10(4), 890-907. https://www.ejpam.com/index.php/ejpam/article/view/3018