Generalized diamond-α dynamic Opial inequalities

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

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

  • Publication Type: Article / Article
  • Volume: 2012
  • Publication Date: 2012
  • Doi Number: 10.1186/1687-1847-2012-109
  • Journal Name: Advances in Difference Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Diamond alpha derivatives, Diamond alpha integrals, Time scales
  • Uşak University Affiliated: No

Abstract

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;.