Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales

Author

Saker, Samir H.

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-09-27

Country of Publication

Egypt

No. of Pages

22

Main Subjects

Mathematics

Abstract EN

We will prove some new Opial dynamic inequalities involving higher order derivatives on time scales.

The results will be proved by making use of Hölder's inequality, a simple consequence of Keller's chain rule and Taylor monomials on time scales.

Some continuous and discrete inequalities will be derived from our results as special cases.

American Psychological Association (APA)

Saker, Samir H.. 2012. Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-450372

Modern Language Association (MLA)

Saker, Samir H.. Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-450372

American Medical Association (AMA)

Saker, Samir H.. Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-450372

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-450372