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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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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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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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Generalizations of Shannon type inequalities via diamond integrals on time scales
Journal of Inequalities and Applications, 2023 The paper generalizes Shannon-type inequalities for diamond integrals. It includes two-dimensional Hölder’s inequality and Cauchy–Schwartz’s inequality, which help to prove weighted Grüss’s inequality for diamond integrals.
Muhammad Bilal +3 more
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Choi-Davis-Jensen's inequality without convexity [PDF]
, 2017 We give the Choi-Davis-Jensen type inequality without using convexity. Applying our main results, we also give new inequalities improving previous known results.
J. Mi'ci'c, H. Moradi, S. Furuichi
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, 2017 In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
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New refinements of the discrete Jensen’s inequality generated by finite or infinite permutations
Aequationes Mathematicae, 2019 In this paper some new refinements of the discrete Jensen’s inequality are obtained in real vector spaces. The idea comes from some former refinements determined by cyclic permutations.
L. Horváth
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A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]
, 2002 A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core
The Expected Norm of a Sum of Independent Random Matrices: An Elementary Approach [PDF]
, 2015 In contemporary applied and computational mathematics, a frequent challenge is to bound the expectation of the spectral norm of a sum of independent random matrices.
Tropp, Joel A.
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