Results 41 to 50 of about 957,990 (310)
Uniform Treatment of Jensen’s Inequality by Montgomery Identity
, 2021 We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights.
T. Rasheed +4 more
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Some Properties and Inequalities for the h,s-Nonconvex Functions
Journal of Mathematics, 2020 The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang +3 more
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, 2011 We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators related to the matrix order and the Jensen inequality.
Fujii, Masatoshi +2 more
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An operator inequality related to Jensen’s inequality [PDF]
Proceedings of the American Mathematical Society, 2001 For bounded non-negative operators A A and
openaire +2 more sources
Refining the integral Jensen inequality for finite signed measures using majorization
RACSAMAmong inequalities that use the concept of convexity, Jensen-type inequalities and majorization-type inequalities are significant and fundamental. An important and widely researched area in the study of Jensen-type inequalities is the refinement of such ...
László Horváth
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Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
, 2021 There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
L. Horváth
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Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative
Journal of Inequalities and Applications, 2009 Using the fixed point method, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in fuzzy Banach spaces.
Choonkil Park
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The Burbea-Rao and Bhattacharyya centroids [PDF]
, 2011 We study the centroid with respect to the class of information-theoretic Burbea-Rao divergences that generalize the celebrated Jensen-Shannon divergence by measuring the non-negative Jensen difference induced by a strictly convex and differentiable ...
Frank Nielsen +2 more
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Converse Jensen inequality for strongly convex set-valued maps
, 2018 Integral and discrete counterparts of the converse Jensen inequality for strongly convex set-valued maps are presented. Mathematics subject classification (2010): Primary 26A51, Secondary 39B62, 54C60.
M. K. Bakula, K. Nikodem
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New improvement of the converse Jensen inequality
, 2018 We give a new refinement of the converse Jensen inequality for linear functionals as well as improvements of some related results. Especially, we give two refinements of the converse Hölder inequality for functionals and a refinement of the converse ...
J. Pečarić, J. Peric
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