Results 21 to 30 of about 82 (75)
Improvements of Jensen‐Type Inequalities for Diamond‐α Integrals
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the differences between the left‐hand side and the right‐hand ...
Rabia Bibi +3 more
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Reverses of the Jensen‐Type Inequalities for Signed Measures
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 In this paper we derive refinements of the Jensen type inequalities in the case of real Stieltjes measure dλ, not necessarily positive, which are generalizations of Jensen′s inequality and its reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left‐hand and the right‐hand ...
Rozarija Jakšić +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).
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Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities are introduced involving delta and nabla integrals simultaneously.
Khaled Aldwoah +6 more
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On Hölder and Minkowski Type Inequalities
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev +3 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.
Abramovich, S. +3 more
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On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality [PDF]
Mathematical Inequalities & Applications, 2009 We consider the inequalities for normalized Jensen functional, recently introduced by S.S. Dragomir. We give an alternative proof of such inequalities and prove another similar result for the case when f is a convex function on an interval in the real line, while p and q satisfy the conditions for Jensen-Steffensen inequality.
Pečarić, Josip +2 more
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Determination of Novel Estimations for the Slater Difference and Applications
Complexity, Volume 2024, Issue 1, 2024.The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity.
Muhammad Adil Khan +6 more
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On some extensions of Hardy’s inequality
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 165-171, 1985., 1984 We present in this paper some new integral inequalities which are related to Hardy′s inequality, thus bringing into sharp focus some of the earlier results of the author.
Christopher O. Imoru
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Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions
Open Mathematics, 2010 Abstract We present integral versions of some recently proved results which improve the Jensen-Steffensen and related inequalities for superquadratic functions. For superquadratic functions which are not convex we get inequalities analogous to the integral Jensen-Steffensen inequality for convex functions.
Abramovich Shoshana +2 more
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