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On Approximation Properties of q-King Operators

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Topics in Mathematical Analysis and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 94))

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Abstract

Based on q-integers we introduce the q-King operators which approximate each continuous function on [0, 1] and preserve the functions e 0(x) = 1 and e j (x) = x j. We also construct a q-parametric sequence of polynomial bounded positive linear operators possessing similar properties. In both cases the rate of convergence is estimated with the aid of the modulus of continuity.

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Authors and Affiliations

  1. Department of Mathematics, Babeş-Bolyai University, 1, M. Kogălniceanu st., 400084, Cluj-Napoca, Romania

    Zoltán Finta

Authors
  1. Zoltán Finta
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Correspondence to Zoltán Finta .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Department of Mathematics, University of Pécs, Pécs, Hungary

    László Tóth

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Finta, Z. (2014). On Approximation Properties of q-King Operators. In: Rassias, T., Tóth, L. (eds) Topics in Mathematical Analysis and Applications. Springer Optimization and Its Applications, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-06554-0_14

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