Generalized diamond-α dynamic Opial inequalities

Atasever N., Kaymakçalan B., Lešaja G., TAŞ K.

Advances in Difference Equations, cilt.2012, 2012 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1186/1687-1847-2012-109
  • Dergi Adı: Advances in Difference Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Diamond alpha derivatives, Diamond alpha integrals, Time scales
  • Uşak Üniversitesi Adresli: Hayır

Özet

We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. Also, we introduce an example to illustrate our result. © 2012 Atasever et al;.