A new approach to nonlinear singular integral operators depending on three parameters
Gumrah Uysal
Open Mathematics, Tome 14 (2016), p. 897-907 / Harvested from The Polish Digital Mathematics Library
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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 , Tλ(f;x,y)=∫∫ℝ2(t-x,s-y,f(t,s))dsdt,(x,y)∈ℝ2,λ∈Λ, where Λ is a set of non-negative numbers with accumulation point λ0.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:287054 
@article{bwmeta1.element.doi-10_1515_math-2016-0081,
     author = {Gumrah Uysal},
     title = {A new approach to nonlinear singular integral operators depending on three parameters},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {897-907},
     zbl = {1351.41019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0081}
}

Gumrah Uysal. A new approach to nonlinear singular integral operators depending on three parameters. Open Mathematics, Tome 14 (2016) pp. 897-907. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0081/