Results 31 to 40 of about 957,990 (310)
Characterization of the Hardy property of means and the best Hardy constants [PDF]
, 2015 The aim of this paper is to characterize in broad classes of means the so-called Hardy means, i.e., those means $M\colon\bigcup_{n=1}^\infty \mathbb{R}_+^n\to\mathbb{R}_+$ that satisfy the inequality $$ \sum_{n=1}^\infty M(x_1,\dots,x_n) \le C\sum_{n=1}
Pasteczka, Paweł, Páles, Zsolt
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JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS
Fractals, 2021 The most notable inequality pertaining convex functions is Jensen’s inequality which has tremendous applications in several fields. Mercer introduced an important variant of Jensen’s inequality called as Jensen–Mercer’s inequality.
S. Butt +3 more
semanticscholar +1 more source
Finite mixture regression: A sparse variable selection by model selection for clustering [PDF]
, 2014 We consider a finite mixture of Gaussian regression model for high- dimensional data, where the number of covariates may be much larger than the sample size. We propose to estimate the unknown conditional mixture density by a maximum likelihood estimator,
Devijver, Emilie
core +4 more sources
Hardy Martingales and Jensen's inequality [PDF]
Bulletin of the Australian Mathematical Society, 1997 Hardy martingales were introduced by Garling and used to study analytic functions on the N-dimensional torus 𝕋N, where analyticity is defined using a lexicographic order on the dual group ℤN. We show how, by using basic properties of orders on ℤN, we can apply Garling's method in the study of analytic functions on an arbitrary compact Abelian group ...
Asmar, Nakhlé H. +1 more
openaire +2 more sources
On Kedlaya type inequalities for weighted means [PDF]
, 2018 In 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean $\mathscr{M}$ the Kedlaya-type inequality $$ \mathscr{A}\big(x_1,\mathscr{M}(x_1,x_2),\ldots,\mathscr{M}(x_1,\ldots,x_n)\big)\le \mathscr{M} \big(x_1, \mathscr{A ...
A. Čižmešija +47 more
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New estimation of Zipf–Mandelbrot and Shannon entropies via refinements of Jensen’s inequality
, 2021 Zipf–Mandelbrot and Shannon entropies are some basic and useful tools to quantify information about certain phenomena in various fields of science and technology, for example statistics, ecology, biology, and information theory.
Khurshid Ahmad +4 more
semanticscholar +1 more source
Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions
Journal of Mathematics, 2021 Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as Jensen-type inequality for harmonic h-convex functions. In this paper, we aim to establish the functional form of
Aqeel Ahmad Mughal +3 more
doaj +1 more source
Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +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
openaire +5 more sources
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
doaj +1 more source