Mediterranean Journal of Mathematics

, Volume 10, Issue 1, pp 41–56 | Cite as

On Convergence of Chlodovsky and Chlodovsky–Kantorovich Polynomials in the Variation Seminorm



The aim of this paper is to study the variation detracting property and rate of approximation of the Chlodovsky and Chlodovsky–Kantorovich polynomials in the space of functions of bounded variation with respect to the variation seminorm.

Mathematics Subject Classification (2010)

Primary 41A25 41A35 Secondary 41A36 


Chlodovsky polynomials Chlodovsky–Kantorovich polynomials convergence in variation seminorm rate of convergence Voronovskaya–type theorem 


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© Springer Basel AG 2012

Authors and Affiliations

  1. 1.Faculty of Science and Arts, Department of MathematicsAbant Izzet Baysal UniversityGölköy–BoluTurkey

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