Sharp estimates of approximation by abstract Kantorovich type operators in terms of the second modulus of continuity (Q2146188)
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| English | Sharp estimates of approximation by abstract Kantorovich type operators in terms of the second modulus of continuity |
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Sharp estimates of approximation by abstract Kantorovich type operators in terms of the second modulus of continuity (English)
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16 June 2022
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The second modulus of continuity is used for estimation o approximations of a bounded measurable function on \([0, 1]\) by Kantorovich type operators \(B_ n (f) x = \sum_{ j = 0}^ n C_n^ j x^ j (1 - x)^{n - j} F_ j( f)\) , where \(F_j\) functionals with sufficiently small supports and certain symmetry. The result obtained is sharp.
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Kantorovich operator
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Bernstein operator
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measurable function
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