Results 111 to 120 of about 1,946 (136)
Generalizations of Steffensen’s inequality via some Euler-type identities
Acta Universitatis Sapientiae: Mathematica, 2016 Using Euler-type identities some new generalizations of Steffensen’s inequality for n–convex functions are obtained. Moreover, the Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
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Finite Sections of Weighted Carleman's Inequality [PDF]
arXiv, 2007 We study finite sections of weighted Carleman's inequality following the approach of De Bruijn. Similar to the unweighted case, we obtain an asymptotic expression for the optimal constant.
arxiv
On the refinements of the Jensen-Steffensen inequality
Journal of Inequalities and Applications, 2011 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 via these inequalities and prove monotonicity property of ...
Khalid Sadia +2 more
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A Note On Mixed Mean Inequalities [PDF]
arXiv, 2007 We give a simpler proof of a result of Holland concerning a mixed arithmetic-geometric mean inequality. We also prove a result of mixed mean inequality involving the symmetric means.
arxiv
Journal of Inequalities and Applications, 2011 In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming +4 more
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An Extension of Alzer's Inequality [PDF]
arXiv, 2007 In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.
arxiv
Selfimprovemvent of the inequality between arithmetic and geometric means [PDF]
J. Math. Inequal. 3 (2009), no. 2, 213--216., 2008 We present a refinement, by selfimprovement, of the arithmetic geometric inequality.
arxiv
Adaptive Integration of Convex Functions of One Real Variable
Annales Mathematicae SilesianaeWe present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
doaj +1 more source