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Rate of Convergence of Modified Schurer-Type q-Bernstein Kantorovich Operators

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Mathematical Analysis and its Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 143))

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Abstract

Lin (J. Inequal. Appl. 465, 2014 [10]) introduced a new modified Schurer-type q-Bernstein Kantorovich operators and discussed a local approximation theorem and the statistical convergence of these operators. In this paper we study the rate of convergence by means of the first-order modulus of continuity, Lipschitz class function, the modulus of continuity of the first-order derivative and the Voronovskaja-type theorem.

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Acknowledgments

The authors are extremely grateful to the reviewers for their valuable comments leading to a better presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Manjari Sidharth & P. N. Agrawal

Authors
  1. Manjari Sidharth
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  2. P. N. Agrawal
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Corresponding author

Correspondence to Manjari Sidharth .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    R. N. Mohapatra

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Uaday Singh

  4. Dept. of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H. M. Srivastava

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Sidharth, M., Agrawal, P.N. (2015). Rate of Convergence of Modified Schurer-Type q-Bernstein Kantorovich Operators. In: Agrawal, P., Mohapatra, R., Singh, U., Srivastava, H. (eds) Mathematical Analysis and its Applications. Springer Proceedings in Mathematics & Statistics, vol 143. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2485-3_19

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