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Abstract  

We study the L p-saturation for the linear combination of Bernstein-Kantorovich operators. As a result we obtain the saturation class by using K-functional as well as some modulus of smoothness.

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. Qi , Q. L. 2002 Pointwise estimate for linear combinations of Bernstein–Kantorovich operators J. Math. Anal. Appl. 265 135 – 147 10.1006/jmaa.2001

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Gonska, H. and Zhou, X.-l. , The strong converse inequality for Bernstein-Kantorovich operators, Comput. Math. Appl. , 30 (1995), no. 3–6, 103–128. MR 96j :41011 Zhou X.-l. The

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