Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales
Joint Authors
Ahmed, A. M.
Zakarya, M.
Rezk, H. M.
Abd El-Hamid, H. A.
AlNemer, Ghada
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-23
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We use the properties of superquadratic functions to produce various improvements and popularizations on time scales of the Hardy form inequalities and their converses.
Also, we include various examples and interpretations of the disparities in the literature that exist.
In particular, our findings can be seen as refinements of some recent results closely linked to the time-scale inequalities of the classical Hardy, Pólya-Knopp, and Hardy-Hilbert.
Some continuous inequalities are derived from the main results as special cases.
The essential results will be proved by making use of some algebraic inequalities such as the Minkowski inequality, the refined Jensen inequality, and the Bernoulli inequality on time scales.
American Psychological Association (APA)
Rezk, H. M.& Abd El-Hamid, H. A.& Ahmed, A. M.& AlNemer, Ghada& Zakarya, M.. 2020. Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185624
Modern Language Association (MLA)
Rezk, H. M.…[et al.]. Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales. Journal of Function Spaces No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1185624
American Medical Association (AMA)
Rezk, H. M.& Abd El-Hamid, H. A.& Ahmed, A. M.& AlNemer, Ghada& Zakarya, M.. Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185624
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185624