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A new approach to nonlinear singular integral operators depending on three parameters

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Uysal G.

Open Mathematics

2016

tom 14

nr 1

897-907

In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: T λ ( f ; x , y ) = ∬ R 2 ( t − x , s − y , f ( t , s ) ) d s d t , ( x , y ) ∈ R 2 , λ ∈ Λ , $${T_\lambda }(f;x,y) = \iint\limits_{{\mathbb{R}^2}} {(t - x,s - y,f(t,s))dsdt,\;(x,y) \in {\mathbb{R}^2},\lambda \in \Lambda ,}$$ where Λ is a set of non-negative numbers with accumulation point λ0.

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1 Open Mathematics

1 Uysal G.

1 2016

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A new approach to nonlinear singular integral operators depending on three parameters