On the images of entire functions under the limit <Emphasis Type="Italic">q</Emphasis>-Bernstein operator |
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Authors: | Sofiya Ostrovska |
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Institution: | 1.Department of Mathematics,Atilim University,Ankara,Turkey |
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Abstract: | The limit q-Bernstein operator B q comes out naturally as the limit for the sequence of q-Bernstein operators in the case 0 < q < 1: Alternatively, it can be viewed as a modification of the Szász-Mirakyan operator related to the Euler distribution. In this paper, a necessary and sufficient condition for a function g to be an image of an entire function under B q is presented. |
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