J4 ›› 2011, Vol. 46 ›› Issue (4): 93-97.
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HAN Zong-xian, SUN Wei-bin
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Abstract:
Some approximate properties is studied by a kind of generalized Bernstein-Kantorovich operators Ln(f,sn,x) defined in Bα spaces. Using Dizian-Totik moduli of smoothness ω2φ (f,t)Bα, direct theorems and Steckin-Marchaud inequalities on operators Ln(f,sn,x) are obtained.
Key words: Bα spaces; a kind of generalized Bernstein-Kantorovich operators; approximation; weighted smooth modulus; direct theorems; Steckin-Marchaud inequalities
HAN Zong-xian, SUN Wei-bin. Equivalent theorem of weighted approximation for a kind of generalized Bernstein-Kantorovich operators in Bα spaces[J].J4, 2011, 46(4): 93-97.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2011/V46/I4/93
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