Voronovskaja's theorem revisited
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This paper considers Voronovskaja's theorem for Bernstein operator. The author describes the degree of the uniform convergence of the theorem and obtains a variant of Voronovskaja's theorem that improves some estimates obtained by Gonska, Pitual and Rasa.
Moduli of continuity ω(f,⋅), Bernstein operator, Applied Mathematics, Approximation by positive operators, Voronovskaja's theorem, Averaged moduli, Ditzian–Totik moduli, Ditzian-Totik moduli, Degree of approximation, Voronovskaja's theorem., averaged moduli, degree of approximation, moduli of continuity, Analysis
Moduli of continuity ω(f,⋅), Bernstein operator, Applied Mathematics, Approximation by positive operators, Voronovskaja's theorem, Averaged moduli, Ditzian–Totik moduli, Ditzian-Totik moduli, Degree of approximation, Voronovskaja's theorem., averaged moduli, degree of approximation, moduli of continuity, Analysis
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