Journal
MATHEMATICS
Volume 9, Issue 22, Pages -Publisher
MDPI
DOI: 10.3390/math9222964
Keywords
Hardy-Hilbert's inequality; Holder's and Jensen's inequality; time scale
Categories
Funding
- Polish National Science Centre [OPUS 14 2017/27/B/ST8/01330]
Ask authors/readers for more resources
This article proves new backward difference dynamic inequalities of Hardy-Hilbert type on time scales, using the Fenchel-Legendre transform and submultiplicative functions. The (gamma,a)-nabla conformable Holder's and Jensen's inequalities on time scales are also proved, along with several inequalities due to Hardy-Hilbert inequalities on time scales. Additionally, continuous inequalities and discrete inequalities are introduced as special cases.
The main objective of the present article is to prove some new backward difference dynamic inequalities of Hardy-Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel-Legendre transform, submultiplicative functions. We prove the (gamma,a)-nabla conformable Holder's and Jensen's inequality on time scales. We prove several inequalities due to Hardy-Hilbert inequalities on time scales. Furthermore, we introduce the continuous inequalities and discrete inequalities as special case.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available