Approximation Theorems for q- Analouge of a Linear Positive Operator by A. Lupas

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Karunesh Kumar Singh, Asha Ram Gairola, Deepmala .

Abstract

The purpose of the present paper is to introduce $q-$ analouge of a sequence of linear and positive operators which was introduced by A. Lupas [2]. First, we estimate moments of the operators and then prove a basic convergence theorem. Next, a local direct approximation theorem is established. Further, we study the rate of convergence and point-wise estimate using the Lipschitz type maximal function.

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References

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