Results 21 to 30 of about 218 (118)

Generalizations of Levinson type inequalities via new Green functions with applications to information theory

Journal of Inequalities and Applications, 2023
In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main
Awais Rasheed, Khuram Ali Khan, Josip Pečarić, Đilda Pečarić   +3 more
doaj   +1 more source

Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy

Journal of Inequalities and Applications, 2020
This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017).
Nouman Siddique, Muhammad Imran, Khuram Ali Khan, Josip Pečarić   +3 more
doaj   +1 more source

Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy

Advances in Difference Equations, 2020
In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique, Muhammad Imran, Khuram Ali Khan, Josip Pečarić   +3 more
doaj   +1 more source

Estimation of divergence measures via weighted Jensen inequality on time scales

Journal of Inequalities and Applications, 2021
The main purpose of the presented paper is to obtain some time scale inequalities for different divergences and distances by using weighted time scales Jensen’s inequality.
Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić, Josip Pečarić   +4 more
doaj   +1 more source

A new bound for the Jensen gap pertaining twice differentiable functions with applications

Advances in Difference Equations, 2020
In this paper, we present a new bound for the Jensen gap with the help of a Green function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally, we present some applications of the main result in information theory.
Shahid Khan, Muhammad Adil Khan, Saad Ihsan Butt, Yu-Ming Chu   +3 more
doaj   +1 more source

Identity Extension for Function on Three Intervals and Application to Csiszar Divergence, Levinson and Ky Fan Inequalities

AppliedMath
Using Taylor-type expansions, we obtain identity expressions for functions on three intervals and differences for two pairs of Csiszár ϕ-divergence. With some more assumptions in these identities, inequalities for functions on three intervals and Csiszár
Josip Pečarić, Jinyan Miao, Ðilda Pečarić   +2 more
doaj   +1 more source

New refinement of the Jensen inequality associated to certain functions with applications

Journal of Inequalities and Applications, 2020
This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan, Ðilda Pečarić, Josip Pečarić   +2 more
doaj   +1 more source

Prevalence and Risk Factors for Cerebral Microbleeds in Chinese Patients With Acute Ischemic Stroke

Brain and Behavior, Volume 16, Issue 6, June 2026.
Approximately half of the patients with AIS exhibited CMBs, particularly those classified under LAA and SVD subtypes. Hypertension and severe WMH were independently associated with CMB presence. Distinct clinical profiles were observed based on CMB burden and location.
Ruiming Zhu, Yinglin Yang, Xiaoyan Chen, Lei Hou, Xiangshu Cheng, Mianwang He   +5 more
wiley   +1 more source

Evaluating Anesthetics for Improving Scientific Research and Welfare Using Larval Zebrafish

Comprehensive Physiology, Volume 16, Issue 3, June 2026.
Using physiological and behavioral assays, we quantified the effectiveness and appropriateness of six commonly used fish anesthetics on zebrafish embryos. Different anesthetics performed better under different contexts. Figure prepared using BioRender.com.
Sylvia Dimitriadou, Mhairi Miller, Ali Pilehvar, Lynne U. Sneddon, Jessica L. Bamsey, Damilola Hogan‐Bassey, Maciej Trznadel, Jonathan S. Ball, Aya Takesono, Courtney Hillman, Hannah Rickard, Grace Popplewell, Jenna Corcoran, Tetsuhiro Kudoh, Charles R. Tyler, Matthew J. Winter   +15 more
wiley   +1 more source

New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality

Complexity, 2020
Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan, Zakir Husain, Yu-Ming Chu   +2 more
doaj   +1 more source