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

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 897-907
- ISSN: 2391-5455

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topGumrah Uysal. "A new approach to nonlinear singular integral operators depending on three parameters." Open Mathematics 14.1 (2016): 897-907. <http://eudml.org/doc/287054>.

@article{GumrahUysal2016,

abstract = {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.},

author = {Gumrah Uysal},

journal = {Open Mathematics},

keywords = {Nonlinear integral operators; Generalized Lebesgue point; Weighted approximation; nonlinear integral operators; generalized Lebesgue point; weighted approximation},

language = {eng},

number = {1},

pages = {897-907},

title = {A new approach to nonlinear singular integral operators depending on three parameters},

url = {http://eudml.org/doc/287054},

volume = {14},

year = {2016},

}

TY - JOUR

AU - Gumrah Uysal

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

JO - Open Mathematics

PY - 2016

VL - 14

IS - 1

SP - 897

EP - 907

AB - 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.

LA - eng

KW - Nonlinear integral operators; Generalized Lebesgue point; Weighted approximation; nonlinear integral operators; generalized Lebesgue point; weighted approximation

UR - http://eudml.org/doc/287054

ER -

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