Some convergence results for nonlinear singular integral operators

• Autorzy: Karsli H.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish some pointwise convergence results for a family of certain nonlinear singular integral operators Tλf of the form (...), acting on functions with bounded (Jordan) variation on an interval [a, b] as λ→λ0. Here, the kernels (...) satisfy some suitable singularity assumptions. We remark that the present study is a continuation and extension of the study of pointwise approximation of the family of nonlinear singular integral operators (1) begun in [18].

Słowa kluczowe

EN

nonlinear singular integrals; bounded variation; Lipschitz condition; pointwise convergence

PL

zmienność ograniczona; warunek Lipschitza; zbieżność punktowa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 4
• Strony: 729--740
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Karsli H.

• Abant Izzet Baysal University, Faculty of Science and Arts, Department of Mathematics, 14280 Golkoy Bolu

Bibliografia

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