Author:
Ansari Iqrar,Khan Khuram Ali,Nosheen Ammara,Pečarić Ðilda,Pečarić Josip
Abstract
AbstractTaylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in quantum calculus and h-discrete calculus are also established.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference56 articles.
1. Adeel, M., Khan, K.A., Pečarić, Ð., Pečarić, J.: Generalization of the Levinson inequality with applications to information theory. J. Inequal. Appl. 2019, Article ID 230 (2019)
2. Adeel, M., Khan, K.A., Pečarić, Ð., Pečarić, J.: Estimation of f-divergence and Shannon entropy by Levinson type inequalities for higher order convex functions via Taylor polynomial. J. Math. Comput. Sci. 21(4), 322–334 (2020)
3. Agarwal, P., Dragomir, S.S., Jleli, M., Samet, B.: Advances in Mathematical Inequalities and Applications. Springer, Singapore (2018)
4. Agarwal, R., Bohner, M., Peterson, A.: Inequalities on time scales: a survey. Math. Inequal. Appl. 7, 535–557 (2001)
5. Agarwal, R., O’Regan, D., Saker, S.: Dynamic Inequalities on Time Scales. Springer, London (2014)
Cited by
5 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