NEW CARLSON-BELLMAN AND HARDY-LITTLEWOOD DYNAMIC INEQUALITIES

Saker S. H., TUNÇ C., Mahmoud R. R.

MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.21, sa.4, ss.967-983, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.7153/mia-2018-21-66
  • Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.967-983
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we will prove some new dynamic inequalities of Carlson and Hardy-Littlewood types on an arbitrary time scale T. These inequalities as special cases contain the classical continuous and discrete Carlson-Bellman and Hardy-Littlewood type inequalities. The results will be proved by employing the time scales Holder inequality, some algebraic inequalities and some basic lemmas designed and proved for this purpose.