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给出并证明了Bernstein—Kantorovich算子逆中插式的B型强逆不等式,即存在l,使得ω_φ~(2r)(f,1/n~(1/2))≤C(||k_n~((2r-1))f-f||_∞+||K_(ln)~((2r-1))f-f||_∞). 相似文献
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本文讨论了Feller算子对p阶有界变差函数的逼近.得到了两个逼近定理.它们包括了许多著名算子的估计. 相似文献
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Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence. A.T. Diallo investigated some approximation properties of Szasz-Mirakjan Quasi-Interpolants, but he obtained only direct theorem with Ditzian-Totik modulus wφ^2r (f, t). In this paper, we extend Diallo's result and solve completely the characterization on the rate of approximation by the method of quasi-interpolants to functions f ∈ CB[0, ∞) by making use of the unified modulus wφ^2r(f, t) (0≤λ≤ 1). 相似文献
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In this paper, for Baskakov, Baskakov-Kantorovich and Baskakov-Durrmyer operators Ln(f,x),we give a simultaneous approximation of equivalent theorem with ω^2ψλ (f, t) The theorem unites the corrosponding results of classical and the Ditzian-Totik moduli of smoothness. 相似文献
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§ 1.Introduction Forthewell knownBernsteinpolynomialBn(f;x) = nk=0f kn pn,k(x) , pn ,k(x) =nk xk( 1 -x) n-k,BerensandLorentz[1]provedthatforf∈C[0 ,1 ] ,0 <α<2 ,onehas| (Bnf-f) (x) |=O x( 1 -x)nα/ 2 ω2 (f;t) =O(tα) . ( 1 .1 )Ontheotherhand ,DitzianandTotik[2 ]obtainedthatforf∈C[0 ,1 ] ,0 <α<2 ,onehas| (Bnf -f)… 相似文献
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本文讨论Baskakov-Durrmeyer算子对具有指数型增长的第一类间断点函数及其导数的逼近。 相似文献