King Type modification of Bernstein-Chlodowsky Operators based on q-integers

نویسنده

  • SEVİLAY KIRCI SERENBAY
چکیده

In this paper we first introduce the King type modification of q-Bernstein-Chlodowsky operators, then we examine the rate of convergence of these operators by means of modulus of continuity and with the help of the functions of Lipschitz class. We proved that the error estimation of this modification is better than that of classical q-Bernstein-Chlodowsky operators whenever 0 ≤ x ≤ bn 2[n]+1 . Key–Words: Bernstein-Chlodowsky operators, q-calculus, King type modification, Korovkin theorem, Rate of convergence

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تاریخ انتشار 2015