Dergiler / Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 22 - Sayı: 6

A Note On Convergence of Nonlinear General Type Two Dimensional Singular Integral Operators

Sayfa
1836–1841
DOI
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Özet

The object of this study is to present both the pointwise convergence and the rate of convergence of the nonlinear integral operators given by 􀀁􀀂 (􀀄, 􀀆; 􀀈) = 􀀋 􀀌􀀂 􀀍􀀎, 􀀏, 􀀄, 􀀆; 􀀈(􀀎, 􀀏)􀀐􀀑􀀏􀀑􀀎 􀀒 , (􀀄, 􀀆) ∈ Ω, 􀀕 ∈ 􀀖 where Ω = 〈􀀙, 􀀚〉 × 〈􀀝, 􀀑〉 is arbitrary bounded region in ℝ􀀟 or Ω = ℝ􀀟, morever, 􀀖 is a set of nonnegative numbers, 􀀕􀀠 is an accumulation point of E, and the function 􀀈 is Lebesgue- integrable function on Ω.