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Jensen–Steffensen inequality for strongly convex functions
Journal of Inequalities and Applications, 2018 The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In
M. Klaričić Bakula
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Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory [PDF]
, 2000 Some new inequalities which counterpart Jensen’s discrete inequality and improve the recent results from S.S. DRAGOMIR, "A converse result for Jensen’s discrete inequality via Grüss’ inequality and applications in information theory" and S.S. DRAGOMIR, "
Budimir, I +2 more
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A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]
, 2002 A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
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Subadditivity of Some Functionals Associated to Jensen's Inequality with Applications [PDF]
, 2009 Some new results related to Jensen’s celebrated inequality for convex functions defined on convex sets in linear spaces are given.
Kim, Jung Kyu +2 more
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Journal of Mathematics, 2021 In this study, we present some new refinements of the Jensen inequality with the help of majorization results. We use the concept of convexity along with the theory of majorization and obtain refinements of the Jensen inequality.
Yongping Deng +4 more
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Determination of Bounds for the Jensen Gap and Its Applications
Mathematics, 2021 The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah +2 more
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JENSEN'S OPERATOR INEQUALITY [PDF]
Bulletin of the London Mathematical Society, 2003 12 ...
Hansen, Frank, Pedersen, Gert K.
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A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications [PDF]
, 1999 In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic inequalities. Applications to Shannon's and Rényi's entropy mappings
Dragomir, Sever S
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On Some Improvements of the Jensen Inequality with Some Applications
Journal of Inequalities and Applications, 2009 An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained.
M. Adil Khan +3 more
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Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
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