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Gamma Operators in Lp (1 ≤ p ≤ &#873

 
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PostPosted: Mon 10:44, 17 Jan 2011    Post subject: Gamma Operators in Lp (1 ≤ p ≤ &#873

Gamma Operators in Lp (1 ≤ p ≤ ∞) space with the right of same Strong converse inequalities for approximation


551 【2】 ChenW. StrongconverseinequalityfortheFoperators. Analysis ,1994,[link widoczny dla zalogowanych],14:267-279 【3】 ChenW, DitzianZ. StrongconverseinequalityforKantorovichpolynomials. ConstrApprox ,1994,[link widoczny dla zalogowanych],10:107-129 『41DitzianZ, IvanovKG. Strongconverseinequalities. JAnalMath ,1993,61:61-111 【5】 DitzianZ, TotikV. ModuliofSmoothness. NewYork: Springer-Verlag, 1987 【6】 DitzianZ, TotikV. K-functionalandweightedmoduliofsmoothness. JApproxTheory, 1990,63:329 【7】 GonskaHH, ZhouXL. ThestrongconverseinequalityforBernstein-Kantorovichoperators. ComputMathAppl ,1995,30:103-128 [8】 GuoS,[link widoczny dla zalogowanych], QiQ. PointwiseweightedsimultaneousapproximationbyGammaoperators. JNanjingUniversity,[link widoczny dla zalogowanych], MathematicalBiquarterly, 2003,20 (1) :24-37 【9】 TotikV. TheGammaoperatorsinLpspaces. PublMath, 1985,32:435510】 TotikV. Strongconverseinequalities. JApproxTheory, 1994,76:3637511】 TotikV. ApproximationbyBernsteinpolynomials. AmerJMath ,1994,116:995-101812】 Zhao Dejun. Post-Widder grate the right linear combinations of Jacobi Approximation Lp same time. Pure and Applied Mathematics, 2000,16 (4): 3340131 Bao Huai SHENG. Lagrange interpolation points based on perturbation approximation for Steckin-Marchaud type inequality. Mathematical Physics, 2005,25 A (1):】】 20StrongConverseInequalitiesforWeightedSimultaneousApproximationbyGammaOperatorsinLp (1P ∞) SpacesQiQiulanGuoShunshengHuangSuxia (CollegeofMathematicsandInformationScience, HebeiNormalUniversity, Shijiazhuang050016) Abstract: Inthispaper,[link widoczny dla zalogowanych], theauthorsconsidertheweightedsimultaneousapproximationbytheGammaoperatorandestablishthestrongconverseinequalityoftypeBfortheoperatorwiththeweightedK-functional: (,, t2), pinthespaceLp (1P ∞). Keywords: Gammaoperator; Approximation; K-functional; Strongconverseinequality. MR (2000) SubjectClassification: 41A10; 41A25


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