Yayınlanmış 1 Ocak 2019 | Sürüm v1
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On Bernstein-Chlodovsky operators preserving e(-2x)

  • 1. Selcuk Univ, Dept Math, Fac Sci, Selcuklu, Konya, Turkey
  • 2. Univ Bari, Dept Math, Bari, Italy
  • 3. Univ Jaen, Dept Math, Jaen, Spain
  • 4. Univ Basilicata, Dept Math Comp Sci & Econ, Potenza, Italy

Açıklama

In this paper we introduce a generalization of Bernstein-Chlodovsky operators that preserves the exponential function e(-2x) (x >= 0). We study its approximation properties in several function spaces, and we evaluate the rate of convergence by means of suitable moduli of continuity. Throughout some estimates of the rate of convergence, we prove better error estimation than the original operators on certain intervals.

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