Results 1 to 10 of about 59 (43)
Improvement of Jensen--Steffensen's inequality for superquadratic functions [PDF]
Banach Journal of Mathematical Analysis, 2010 In this paper, improvements for superquadratic functions of Jensen-Steffensen's and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen-Steffensen's inequality for convex functions. For superquadratic functions which are convex (including many useful functions), we get improvements ...
Shoshana Abramovich +2 more
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Jensen-Steffensen's and related inequalities for superquadratic functions [PDF]
Mathematical Inequalities & Applications, 2008 Refinements of Jensen-Steffensen's inequality, Slater-Pečarić's inequality and majorization theorems for superquadratic functions are presented.
Shoshana Abramovich +3 more
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A companion to Jensen-Steffensen's inequality
Journal of Approximation Theory, 1985 Suppose that f is a convex function on (a,b).
Josip Pečarić
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Generalization of Jensen's and Jensen-Steffensen's inequalities by generalized majorization theorem [PDF]
Journal of mathematical inequalities, 2017 In this paper, we use generalized majorization theorem and give the generalizations of Jensen’s and Jensen-Steffensen’s inequalities. We present the generalization of converse of Jensen’s inequality. We give bounds for the identities related to the generalization of Jensen’s inequality by using ˇ Cebyˇsev functionals.
Muhammad Adil Khan +2 more
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A variant of Jensen–Steffensen's inequality and quasi-arithmetic means
Journal of Mathematical Analysis and Applications, 2005 A variant of Jensen-Steffensen's inequality is proved. Necessary and sufficient conditions for the equality in Jensen-Steffensen's inequality are established. Several inequalities involving more than two monotonic functions and generalized quasi-arithmetic means with not only positive weights are proved.
Shoshana Abramovich +3 more
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Journal of Numerical Analysis and Approximation Theory, 2017 In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case. We give bounds for identities related to these inequalities by using Chebyshev functionals.
Gorana Aras-Gazić +2 more
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Improvement of Jensen, Jensen-Steffensen's, and Jensen's functionals related inequalities for various types of convexity [PDF]
In this paper we deal with improvement of Jensen, Jensen-Steffensen's and Jensen's functionals related inequalities for uniformly convex, phi-convex and superquadratic functions.
Shoshana Abramovich
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A variant of Jensen-Steffensen's inequality for convex and superquadratic functions
Journal of inequalities in pure and applied mathematics, 2006 A variant of Jensen-Steffensen's inequality is considered for convex and for superquadratic functions. Consequently, inequalities for power means involving not only positive weights have been established.
Shoshana Abramovich +2 more
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On the refinements of the Jensen-Steffensen inequality [PDF]
Journal of Inequalities and Applications, 2011 Abstract 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 the generalized Cauchy means obtained via these functionals.
Iva Franjić +2 more
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Generalized Jensen-Steffensen and related inequalities [PDF]
Journal of Mathematical Inequalities, 2015 We introduce a new tool for comparing two linear functionals that are positive on convex functions. We generalize Jensen-Steffensen and related inequalities.
Jakšetić, Julije +2 more
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