New Characterizations of Weights in Hardy and Opial Type Inequalities via Solvability of Dynamic Equations

Joint Authors

Sayed, A. G.
Abohela, I.
Saker, Samir H.
Sikorska-Nowak, Aneta

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-08-01

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

In this paper, we prove that the solvability of dynamic equations of second order is sufficient for the validity of some Hardy and Opial type inequalities with two different weights on time scales.

In particular, the results give new characterizations of two different weights in inequalities containing Hardy and Opial operators.

The main contribution in this paper is the characterizations of weights in discrete inequalities that will be formulated from our results as special cases.

American Psychological Association (APA)

Saker, Samir H.& Sayed, A. G.& Sikorska-Nowak, Aneta& Abohela, I.. 2019. New Characterizations of Weights in Hardy and Opial Type Inequalities via Solvability of Dynamic Equations. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1146480

Modern Language Association (MLA)

Saker, Samir H.…[et al.]. New Characterizations of Weights in Hardy and Opial Type Inequalities via Solvability of Dynamic Equations. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1146480

American Medical Association (AMA)

Saker, Samir H.& Sayed, A. G.& Sikorska-Nowak, Aneta& Abohela, I.. New Characterizations of Weights in Hardy and Opial Type Inequalities via Solvability of Dynamic Equations. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1146480

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1146480