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On Approximation Properties of Phillips Operators Preserving Exponential Functions

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Abstract

In the present paper, we study a modification of the Phillips operators, which reproduces constant and the exponential functions. We obtain the moments using the concept of moment-generating function for the Phillips operators. Here we discuss a uniform convergence estimate for this modified forms. Also some direct estimates, which also involve the asymptotic-type result are established.

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Authors and Affiliations

  1. Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, 110078, India

    Vijay Gupta

  2. Department of Mathematics, University of Architecture Civil Engineering and Geodesy, 1046, Sofia, Bulgaria

    Gancho Tachev

Authors
  1. Vijay Gupta
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  2. Gancho Tachev
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Correspondence to Vijay Gupta.

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Gupta, V., Tachev, G. On Approximation Properties of Phillips Operators Preserving Exponential Functions. Mediterr. J. Math. 14, 177 (2017). https://doi.org/10.1007/s00009-017-0981-z

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  • DOI: https://doi.org/10.1007/s00009-017-0981-z

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