Displaying similar documents to “Rate of approximation for the Bézier variant of Balazs-Kantorovich operators”

On an Extremal Problem concerning Bernstein Operators

Gonska, Heinz, Zhou, Ding-Xuan (1995)

Serdica Mathematical Journal

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* The second author is supported by the Alexander-von-Humboldt Foundation. He is on leave from: Institute of Mathematics, Academia Sinica, Beijing 100080, People’s Republic of China. The best constant problem for Bernstein operators with respect to the second modulus of smoothness is considered. We show that for any 1/2 ≤ a < 1, there is an N(a) ∈ N such that for n ≥ N(a), 1−a≤k, n≤a, sup | Bn (f, k/n) − f(k/n) | ≤ cω2(f, 1/√n), where c is a constant,0 < c <...

Direct and Converse Theorems for Generalized Bernstein-Type Operators

Finta, Zoltán (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 41A25, 41A27, 41A36. We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators. The direct estimate is given using a K-functional and the inverse result is a strong converse inequality of type A, in the terminology of [2].