On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Tasadduq Niaz +2 more
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Community diagnosis as a transformative learning approach to enhance medical students’ community orientation and understanding social determinant of health: a mixed-methods study [PDF]
BMC Medical EducationBackground The impact of community diagnosis as an educational strategy on the community orientation of medical students and their understanding of the social determinants of health (SDH) necessitates additional investigation.
Keisuke Hasebe +13 more
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Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals [PDF]
Arab Journal of Mathematical Sciences, 2020 In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon entropy.
Khuram Ali Khan +3 more
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Generalizations of the Jensen–Mercer Inequality via Fink’s Identity
Mathematics, 2021 We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n ...
Anita Matković
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Estimation of divergences on time scales via the Green function and Fink’s identity
Advances in Difference Equations, 2021 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.
Iqrar Ansari +4 more
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Kuwait Journal of Science, 2023 We take into account differences resulting from the discrete and integral cyclic Jensen's inequalities and provide upper and lower bounds using weighted Hermite-Hadamard inequalities with the support of Fink's identity.
Saad I. Butt +3 more
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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 +3 more
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Generalized Steffensen’s Inequality by Fink’s Identity
Mathematics, 2019 By using Fink’s Identity, Green functions, and Montgomery identities we prove some identities related to Steffensen’s inequality. Under the assumptions of n-convexity and n-concavity, we give new generalizations of Steffensen’s ...
Asfand Fahad +2 more
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Generalizations of Steffensen's inequality via Fink's identity and related results II [PDF]
, 2015 We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given.
Pecaric, Josip +2 more
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Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Open Mathematics, 2017 This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić +1 more
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