On singular integrals depending on three parameters

Yilmaz M., Serenbay S., Ibikli E.

Applied Mathematics and Computation, cilt.218, sa.3, ss.1132-1135, 2011 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 218 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.03.067
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1132-1135
  • Anahtar Kelimeler: Double singular integral, Generalized Lebesgue point, Radial kernel
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we will prove the pointwise convergence of L(f; x, y, λ) to f(x0, y0), as (x, y, λ) tends to (x0, y0, λ0) in the space L 2π, by the three parameter family of singular operators. In contrast to previous works, the kernel function is radial. © 2011 Elsevier Inc. All rights reserved.