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Approximation by Durrmeyer Type Operators Preserving Linear Functions

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Abstract

In the present article, we propose a new sequence of linear positive operators having different basis, which are generalizations of Bernstein basis functions. We establish some convergence estimates which include link convergence, asymptotic formula, and direct estimates in terms of usual and Ditzian–Totik modulus of continuity.

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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

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  1. Vijay Gupta
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Correspondence to Vijay Gupta .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Engineering, Hellenic Military Academy, Vari Attikis, Greece

    Nicholas J. Daras

  2. Department of Mathematics, ETH Zürich, Zürich, Switzerland

    Michael Th. Rassias

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Gupta, V. (2015). Approximation by Durrmeyer Type Operators Preserving Linear Functions. In: Daras, N., Rassias, M. (eds) Computation, Cryptography, and Network Security. Springer, Cham. https://doi.org/10.1007/978-3-319-18275-9_11

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