Generalized Jensen’s functional on time scales via extended Montgomery identity

Journal of inequalities and applications

Sofia Ramzan¹  Ammara Nosheen¹  Rabia Bibi²  Josip Pečarić³ 

[1] Department of Mathematics and Statistics, The University of Lahore (Sargodha Campus), Sargodha, Pakistan;Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Havlian, Pakistan;RUDN University, Moscow, Russia;

关键词: Jensen’s inequality;    Convex functions;    Diamond integrals;    Time scales calculus;   

DOI  :  10.1186/s13660-021-02629-4

来源: Springer

【 摘 要 】

In the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex functions with the help of an extended Montgomery identity. Moreover, the bounds have been suggested for identities associated with the generalized Jensen-type functional.

【 授权许可】

CC BY