Results 11 to 20 of about 165 (112)
Norm inequalities related to Heinz and logarithmic means [PDF]
Journal of Mathematical Inequalities, 2022 X iv :2 20 6. 05 63 2v 1 [ m at h. C A ] 1 2 Ju n 20 22 Norm Inequalities Related to Heinz and Logarithmic Means Guanghua Shi School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China sghkanting@163.com June 14, 2022 Abstract In this
Guanghua Shi
semanticscholar +1 more source
On Optimal Coding of Non-Linear Dynamical Systems [PDF]
IEEE Transactions on Information Theory, 2017 We consider the problem of zero-delay coding of a dynamical system over a discrete noiseless channel under three estimation criteria concerned with the low-distortion regime.
C. Kawan, S. Yüksel
semanticscholar +1 more source
Some New Results on Purely Singular Splittings
Communications in Mathematical Research, 2022 Let G be a finite abelian group, M a set of integers and S a subset of G. We say that M and S form a splitting of G if every nonzero element g of G has a unique representation of the form g=ms with m∈M and s∈S, while 0 has no such representation.
P. Yuan
semanticscholar +1 more source
Superquadratic functions in information theory
Journal of Mathematical Inequalities, 2020 . Using Jensen’s inequality and the converse Jensen’s inequality for superquadratic functions we obtain new estimates for Shannon’s entropy of the random variable X and derive new lower and upper bounds for the Shannon entropy in the terms of the Zipf ...
J. Baric, Đ. Pečarić, J. Pečarić
semanticscholar +1 more source
Generalized ‘useful’ non-symmetric divergence measures and inequalities
Journal of Mathematical Inequalities, 2019 In the present paper we consider one parameter generalizations of some ’useful’ non symmetric divergence measures. All the generalizations considered can be written as particular cases of Csiszar f-divergence.
Reetu Kumari, D. K. Sharma
semanticscholar +1 more source
Mathematical Inequalities & Applications, 2019 The Jensen’s inequality has tremendous implications in many fields of modern analysis. It helps computing useful upper bounds for several entropic measures used in information theory.
S. Butt +3 more
semanticscholar +1 more source
Some inequalities on generalized entropies [PDF]
arXiv.org, 2011 We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by the improvements of Young’s inequality. We also give a generalized Han’s inequality.MSC:26D15, 94A17.
S. Furuichi +2 more
semanticscholar +1 more source
On a Jensen-type inequality for generalized f-divergences and Zipf-Mandelbrot law
Mathematical Inequalities & Applications, 2019 By means of one new Jensen-type inequality for signed measures which is characterized via several different Green functions, in this paper we derive new inequalities for generalized f−divergences.
Đ. Pečarić +2 more
semanticscholar +1 more source
New refinements of generalized Hölder's inequality and their applications
, 2016 In this paper, we present a series of sharpened versions of generalized Hölder’s inequality. As an application in information theory, we give a new refinement of Singh’s inequality with respect to the ‘useful’ information of order α for the power ...
Jing-feng Tian, W. Pedrycz
semanticscholar +1 more source
Converse to the Sherman inequality with applications
Mathematical Inequalities & Applications, 2019 In this paper we proved a converse to Sherman’s inequality. Using the concept of f divergence we obtained some inequalities for the well-known entropies.
A. Barbir +3 more
semanticscholar +1 more source