Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627656 | Applied Mathematics and Computation | 2014 | 8 Pages |
Abstract
In the present paper we investigate both the pointwise convergence and the Fatou type convergence of the operatorsTλ[m]f(x)=∫-∞∞Kλt,∑k=1m-1k-1mkf(x+kt)dt,x∈R,λ∈Λ,to f(x0)f(x0) as λ→λ0λ→λ0 and (x,λ)→(x0,λ0)(x,λ)→x0,λ0 in Lp(R)(p⩾1)LpRp⩾1, respectively. Here ΛΛ is a nonempty set of indices with a topology and λ0λ0 is an accumulation point of ΛΛ in this topology.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Harun Karsli,