Results 31 to 40 of about 4,196 (286)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Jensen's Trace Inequality in Several Variables [PDF]
International Journal of Mathematics, 2003 For a convex, real function f, we present a simple proof of the formula [Formula: see text] valid for each tuple (x1,…, xm) of symmetric matrices in [Formula: see text] and every unital column (a1,…, am) of matrices, i.e. [Formula: see text]. This is the standard Jensen trace ine-quality. If f ≥ 0 it holds also for the unbounded trace on [Formula: see
Hansen, Frank, Pedersen, Gert K.
openaire +3 more sources
Some companion inequalities to Jensen's inequality [PDF]
Mathematical Inequalities & Applications, 2000 The authors obtain some new companion inequalities to Jensen's inequality (discrete or integral). The main results are given in a very general and abstract setting, for convex functions defined on an open convex set of a normed linear space. The differentiable cases, as well as sharpness questions are also considered.
Matić, M., Pečarić, J.
openaire +2 more sources
MusicSwarm: Biologically Inspired Intelligence for Music Composition
Advanced Intelligent Systems, EarlyView.Biologically inspired swarms of frozen foundation models self‐organize to compose complex music without fine‐tuning. By coordinating through stigmergic signals, decentralized agents dynamically evolve specialized roles and adapt to solve complex tasks.
Markus J. Buehler
wiley +1 more source
American Journal of Agricultural Economics, EarlyView.Abstract Crop insurance is undoubtedly an extremely valuable element in protecting agricultural businesses, but in many cases standard indemnity‐based products have had very low uptake due to high transaction costs elevating premiums to unaffordable levels.
Amogh Prakasha Kumar +2 more
wiley +1 more source
British Educational Research Journal, EarlyView.Abstract Recruiting and retaining school leaders is a challenge in many systems worldwide. Previous research has identified three distinct ways in which succession planning can be conceptualised and approached: a ‘pipeline’ approach seeks to match supply and demand for the posts that need filling; a ‘pool’ strategy involves proactively identifying and ...
Toby Greany +3 more
wiley +1 more source
Another Converse of Jensen's Inequality [PDF]
, 2009 We give the best possible global bounds for a form of discrete Jensen’s inequality.
Simic, Slavko
core
Monotone trace functions of several variables
, 2005 We investigate monotone operator functions of several variables under a trace or a trace-like functional. In particular, we prove the inequality \tau(x_1... x_n)\le\tau(y_1...
Hansen, Frank
core +1 more source