Pointwise estimates for modified positive linear operators
Cao, Jia-Ding, Gonska, Heinz H. (1989)
Portugaliae mathematica
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Displaying similar documents to “Rate of approximation for the Bézier variant of Balazs-Kantorovich operators”
Pointwise estimates for modified positive linear operators
Approximation of functions of two variables by some operators in weighted spaces
B. Firlej, M. Leśniewicz, L. Rempulska (1999)
Rendiconti del Seminario Matematico della Università di Padova
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The Baskakov operators for functions of two variables.
M. Gurdek, L. Rempulska, M. Skorupka (1999)
Collectanea Mathematica
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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 <...
-approximation by the method of integral Meyer-König and Zeller operators
Manfred Müller (1978)
Studia Mathematica
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Properties of the orthonormal Franklin system
Z. Ciesielski (1963)
Studia Mathematica
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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].