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Inequalities for a class of \({\mathcal {B}}_n\)-operators

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Abstract

Bernstein-type inequalities play a very important role in the theory of approximation. During last few decades, a number of operators have been identified, which preserve such type of inequalities between polynomials. In this paper, we consider a more general operator belonging to the family \({\mathcal {B}}_n\) and establish some inequalities preserved by it, which generalize or refine some of the results proved earlier.

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This research article is theory based and hence no data sets were generated or analyzed during the current study. However some previously proven results were either generalized or refined and a proper referencing is done to find and cite those articles.

References

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Authors and Affiliations

  1. Central University of Kashmir, Ganderbal, Jammu and Kashmir, India

    Zahid Manzoor Wani & Wali Mohammad Shah

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  1. Zahid Manzoor Wani
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  2. Wali Mohammad Shah
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Correspondence to Zahid Manzoor Wani.

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Wani, Z.M., Shah, W.M. Inequalities for a class of \({\mathcal {B}}_n\)-operators. Complex Anal Synerg 10, 3 (2024). https://doi.org/10.1007/s40627-023-00129-3

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  • DOI: https://doi.org/10.1007/s40627-023-00129-3

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