Results 21 to 30 of about 223 (119)

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

open access: yesJournal 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   +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

open access: yesAdvances 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   +3 more
doaj   +1 more source

Estimation of divergence measures via weighted Jensen inequality on time scales

open access: yesJournal 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   +4 more
doaj   +1 more source

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

open access: yesAdvances 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   +3 more
doaj   +1 more source

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

open access: yesAppliedMath
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   +2 more
doaj   +1 more source

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Biomimetic Design of Biopolymer‐Based Water‐Resistant Food Packaging Materials

open access: yesComprehensive Reviews in Food Science and Food Safety, Volume 25, Issue 5, September 2026.
ABSTRACT With the growing demand for sustainable and eco‐friendly food packaging, biopolymer‐based materials are emerging as promising candidates due to their recyclability, biodegradability, and food safety. However, in practical applications dealing with high moisture content or perishable foods, their lack of water resistance poses a significant ...
Ajahar Khan   +3 more
wiley   +1 more source

Methane Emissions From Wildfires: Trends and Anomalies

open access: yesJournal of Geophysical Research: Atmospheres, Volume 131, Issue 15, 16 August 2026.
Abstract Wildfires emit smoke particles and trace gases including greenhouse gases into the atmosphere, impacting the environment and leading to detrimental impacts on human health and economy. The estimation of spatially and temporally resolved methane emissions from biomass burning (BB) provides critical information in developing measurement‐informed
Aihua Zhu   +5 more
wiley   +1 more source

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

open access: yesComplexity, 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   +2 more
doaj   +1 more source

Diosgenin Alleviates Age‐Related Sarcopenia by Promoting Satellite Cell Proliferation and Myogenic Differentiation via Activation of the SIRT1/PGC‐1α Signaling Pathway

open access: yesAging Cell, Volume 25, Issue 8, August 2026.
As a critical bioactive component of Polygonatum sibiricum, diosgenin improves age‐related declines in skeletal muscle mass and function by activating the SIRT1/PGC‐1α pathway, upregulating the expression of the myokine METRNL and IGF‐1, and promoting satellite cell proliferation and myogenic differentiation.
Xin Zeng   +9 more
wiley   +1 more source

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