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On the images of entire functions under the limit q-Bernstein operator

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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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Authors and Affiliations

  1. Department of Mathematics, Atilim University, Ankara, Turkey

    Sofiya Ostrovska

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  1. Sofiya Ostrovska
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Correspondence to Sofiya Ostrovska.

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Ostrovska, S. On the images of entire functions under the limit q-Bernstein operator. Indian J Pure Appl Math 48, 205–210 (2017). https://doi.org/10.1007/s13226-017-0218-7

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  • DOI: https://doi.org/10.1007/s13226-017-0218-7

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