A relation between Bessel and Fourier transforms and its application to the weighted inequalities

ALİYEV İ.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.21, sa.2, ss.135-142, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1080/10652460903063366
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.135-142
  • Anahtar Kelimeler: Fourier Cosine transform, Bessel transform, Bessel function, Riemann-Liouville fractional integral, weighted norm inequality
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper a relation between Bessel and Fourier Cosine transforms is obtained with the aid of Riemann-Liouville fractional integral. An application of this relation to weighted norm inequalities is given.