[PDF] Top 20 A new version of Jensen’s inequality and related results

... Hermite-Hadamard inequality on the disk [] and ...Hermite-Hadamard inequality of sev- eral variables for a convex function on certain convex compact ...Hermite-Hadamard inequality in another way and ... See full document

... In this paper, we present integral versions of some recently proved results which refine the Jensen-Steffensen inequality. We prove the n-exponential convexity and log-convexity of the functions ... See full document

... It is known that any convex function defined on the interval [a, b] is bounded and satisfies a Lipschitz condition [13]. So in this section instead of the convexity of derivative we con- sider the boundedness of the ... See full document

... Abstract – We present some inequalities and a concavity property of the digamma function ψ = Γ 0 /Γ, where Γ denotes Euler’s gamma function. In particular, we offer a new characterization of Euler’s constant γ = ... See full document

... main results are related to Jensen’s inequality, its generalizations and ...Introduction, Jensen has proved his inequality by applying mathematical in- ... See full document

... the Jensen inequality for convex and monotone function is given as well as various applications for ...Similar results for related inequalities of the Jensen type are also ...the ... See full document

... Some new developments on refinements, generalizations, and applications of Jordan’s inequality and related problems, including some results about Wilker-Anglesio’s inequality, some ... See full document

... the inequality introduced by Mitrinovi´c and Peˇcari´c in ...that new inequality by taking its ...the inequality which implies the exponential convexity and logarithmic ...define new ... See full document

... We give a proof that the expression in square brackets in 4.8 is nonzero actually strictly positive by inequality 3.2 for nonlinear function f.. Suppose that the expression in square bra[r] ... See full document

... In this paper, we extend some old and give some new refinements of the Jensen- Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined ... See full document

... theoretical results related to inequalities include Jensen type inequalities [1], the general varia- tional inequality problem [2], delay integral inequalities [3], inequalities that involve ... See full document

... Divergences between probability distributions have been introduced to measure the dif- ference between them. A lot of different types of divergences exist, for example, the f -divergence, Rényi divergence, ... See full document

... From Theorem 2.1 and the above established inequalities (1.1) and (1.2), we have sev- eral strengthened Jordan’s inequalities. For example, Jordan’s inequality can be obtained from (2.1) by taking g(x) = 0 simply. ... See full document

... above results, we introduce in the present paper a more general functional, establish its main properties and use it for some particular cases that provide inequalities of ... See full document

... Debnath, “A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality,” Applied Mathematics Letters, vol.. Debnath, “A ne[r] ... See full document

... An uncertain set, as a generalization of the uncertain variable, is a set-valued function on an uncertainty space. It provides theoretical foundations for uncertain inference and uncertain logic. This paper aims at ... See full document

... the Jensen inequality () for the generalized Sugeno integral by using the condition of monotonicity instead of the condition of ...the Jensen inequality for the generalized Sugeno integral ... See full document

... certain results that were proved in [9, 10], and general- ize (1)–(4) to some weakly singular integral ...discrete Jensen inequality, the Hölder inte- gral inequality and amplification ... See full document

... and preliminaries. The second section deals with some alternate forms of Niezgoda’s inequality. The third section deals with the refinement of the result which is stated in the second section. The last section ... See full document

... DRAGOMIR, Advances in Inequalities of the Schwarz, Gr¨ uss and Bessel Type in Inner Product Spaces, Nova Science Publishers, Inc., NY, 2005.. [5] Y.-C.[r] ... See full document