Estimation of divergences on time scales via the Green function and Fink’s identity

Advances in Difference Equations

Ammara Nosheen¹  Khuram Ali Khan²  Iqrar Ansari³  Ðilda Pečarić⁴  Josip Pečarić⁵ 

[1] Department of Mathematics and Statistics, The University of Lahore (Sargodha Campus), Sargodha, Pakistan;Department of Mathematics, University of Sargodha, Sargodha, Pakistan;Department of Mathematics, University of Sargodha, Sargodha, Pakistan;Government Mian Muhammad Nawaz Sharif Associate College Sargodha, Sargodha, Pakistan;Department of Media and Communication, University North, Trg dr. žarka Dolinara 1, Koprivnica, Croatia;RUDN University, Miklukho-Maklaya str. 6, 117198, Moscow, Russia;

关键词: Csiszár divergence;    Time scale calculus;    Fink’s identity;    Green function;   

DOI  :  10.1186/s13662-021-03550-2

来源: Springer

【 摘 要 】

The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus and quantum calculus are also presented. Moreover, inequalities for some divergence measures are also deduced.

【 授权许可】

CC BY