Abstract
In this paper, we establish some new dynamic inequalities involving C-monotonic functions with C≥1, on time scales. As a special case of our results when C=1, we obtain the inequalities involving increasing or decreasing functions (where for C=1, the 1-decreasing function is decreasing and the 1-increasing function is increasing). The main results are proved by applying the properties of C-monotonic functions and the chain rule formula on time scales. As a special case of our results, when T=R, we obtain refinements of some well-known continuous inequalities and when T=N, to the best of the authors’ knowledge, the results are essentially new.
Funder
Princess Nourah bint Abdulrahman University
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference19 articles.
1. Weighted inequalities for monotone and concave functions;Stud. Math.,1995
2. Integral inequalities for monotone functions;J. Math. Anal. Appl.,1997
3. AlNemer, G., Saied, A.I., Zakarya, M., El-Hamid, H.A.A., Bazighifan, O., and Rezk, H.M. (2021). Some New Reverse Hilbert’s Inequalities on Time Scales. Symmetry, 13.
4. Minkowski and Beckenbach-Dresher inequalities and functionals on time scales;J. Math. Inequal,2013
5. Some dynamic Hardy-type inequalities with general kernels;Math. Ineq. Appl.,2014
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献