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Bézier variant of summation-integral type operators

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Abstract

The motive of this article is to introduce the Bézier variant of a sequence of summation-integral type operators involving inverse Pólya-Eggenberger distribution and Păltănea operators [17]. For these operators, we estimate the approximation behaviour including first and second-order modulus of smoothness. Lastly, we establish the rate of convergence with a class of functions of derivatives of bounded variation.

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Authors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, Bawana Road, Delhi, 110042, India

    Neha & Naokant Deo

  2. Department of Mathematics, Miranda House, University of Delhi, Delhi, 110007, India

    Ram Pratap

Authors
  1. Neha
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  2. Naokant Deo
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  3. Ram Pratap
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Correspondence to Ram Pratap.

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Neha, Deo, N. & Pratap, R. Bézier variant of summation-integral type operators. Rend. Circ. Mat. Palermo, II. Ser 72, 889–900 (2023). https://doi.org/10.1007/s12215-021-00695-7

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  • DOI: https://doi.org/10.1007/s12215-021-00695-7

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