Approximation in Compact Balls by Bernstein and Convolution Type Operators

  • Sorin G. Gal
  • Irene Sabadini
Part of the Frontiers in Mathematics book series (FM)


In this chapter we present the quaternionic counterparts, in the slice regular case, of several celebrated results in complex approximation. In particular, we discuss approximation by Bernstein polynomials and by convolution operators in the case of compact balls and Cassini cells.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sorin G. Gal
    • 1
  • Irene Sabadini
    • 2
  1. 1.Department of Mathematics and Computer ScienceUniversity of OradeaOradeaRomania
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

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