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

• Autorzy: Gumrah Uysal
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Nonlinear integral operators; Generalized Lebesgue point; Weighted approximation

Kategorie tematyczne

• 47G10: Integral operators
• 41A35: Approximation by operators (in particular, by integral operators)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 897-907

Daty

wydano

2016-01-01

otrzymano

2016-07-30

zaakceptowano

2016-10-11

online

2016-11-11

Twórcy

autor

Gumrah Uysal

• Department of Computer Technologies, Division of Technology of Information Security, Karabuk University, 78050, Karabuk,

Identyfikatory

DOI

10.1515/math-2016-0081