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- W2362593060 abstract "With an increasing function ω(t) and the properties of modulu s of smoothness ω φ λ (f,t),the following pointwise conve rse results for Szasz-Durrmeyer operators are given by using the communication and the properties of derivative about Szasz-Durrmeyer. For f∈C[0,+∞),0≤λ≤1,φ(x)=[KF(]x,δ n(x)=φ(x)+1/n , if |f(x)-S n(f,x)|≤Mω(n -1/2 δ 1-λ n(x)), where ω(t)≥0, ω(ut)≤C(u 2+1)ω(t), for any u0,t0. Then for any t0 ω 2 φ λ (f,t)≤Ct 2∑0n≤t -1 (n+1)ω(n -1 )+Ct 2‖f‖, ω 1(f,t)≤Ct∑0n≤t -1 ω(n -2-λ2 )+Ct‖f‖, where ω 1(f,t)= sup 0h≤t‖△ hf‖ C[0,∞) ,ω 2 φ λ (f,t)= sup [DD(X]|h|≤t‖△ 2 hφ λ f‖ C . It includes the converse results of ω φ(f,t) and ω(f,t)." @default.
- W2362593060 created "2016-06-24" @default.
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- W2362593060 date "2002-01-01" @default.
- W2362593060 modified "2023-09-27" @default.
- W2362593060 title "The pointwise converse results for Szász-Durrmeyer operators" @default.
- W2362593060 hasPublicationYear "2002" @default.
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