A relation between Bessel and Fourier transforms and its application to the weighted inequalities
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.21, sa.2, ss.135-142, 2010 (SCI-Expanded)
- 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.