Results 31 to 40 of about 687 (243)
Refinements of the Converse Hölder and Minkowski Inequalities
Mathematics, 2022 We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić +2 more
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Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 2018 We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song +3 more
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Several new cyclic Jensen type inequalities and their applications
Journal of Inequalities and Applications, 2019 We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex functions using Taylor’s formula.
Nasir Mehmood +3 more
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Some complementary inequalities to Jensen’s operator inequality [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we study some complementary inequalities to Jensen's inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method.
Jadranka Mićić +2 more
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The Applications of Functional Variants of Jensen's Inequality
Journal of Function Spaces and Applications, 2013 The paper is inspired by McShane's results on the functional form of Jensen's inequality for convex functions of several variables. The work is focused on applications and generalizations of this important result. At that, the generalizations of Jensen's
Zlatko Pavić
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Cauchy type means for some generalized convex functions
Journal of Inequalities and Applications, 2021 In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense.
Naila Mehreen, Matloob Anwar
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About the sharpness of the Jensen inequality [PDF]
Journal of Inequalities and Applications, 2018 The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not necessarily positive. Finally, some applications involving various types of f-divergences and Zipf-Mandelbrot
Ðilda Pečarić +2 more
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New estimates for generalized Shannon and Zipf-Mandelbrot entropies via convexity results
Results in Physics, 2020 Shannon and Zipf-Mandelbrot entropies have several applications in various fields such as ecology, statistics, physics and information theory etc. The aim of this article is to utilize some results of Jensen’s inequality for convex functions and to ...
Khurshid Ahmad +4 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
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Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
Abstract and Applied Analysis, 2013 We give refinement of Jensen’s type inequalities given by Bakula and Pečarić (2006) for the co-ordinate convex function. Also we establish improvement of Jensen’s inequality for the convex function of two variables.
M. Adil Khan +4 more
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