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

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.

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