## Found 144 Documents (Results 1–100)

100
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### A refinement of the Jensen-Simic-Mercer inequality with applications to entropy. (English)Zbl 07555095

MSC:  26B25 26D15 94A17
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### Measure theoretic generalizations of Jensen’s inequality by Fink’s identity. (English)Zbl 07541759

MSC:  26D15 26D10 94A17
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### A novel approach to the Jensen gap through Taylor’s theorem. (English)Zbl 1472.26009

MSC:  26D15 26A51 94A17
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### The dual cone of sums of non-negative circuit polynomials. (English)Zbl 1470.14117

MSC:  14P05 52A20 90C30
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### More accurate majorization inequalities obtained via superquadraticity and convexity with application to entropies. (English)Zbl 1462.94020

MSC:  94A17 26D15 15B51
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### Refinements of some Hardy-Littlewood-Pólya type inequalities via Green’s functions and Fink’s identity and related results. (English)Zbl 07461034

MSC:  26A51 26D15 52A41
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### Estimation of different entropies via Abel-Gontscharoff Green functions and Fink’s identity using Jensen type functionals. (English)Zbl 1477.94041

MSC:  94A17 26D15 26D07
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### Proximal averages for minimization of entropy functionals. (English)Zbl 1466.65022

MSC:  65D20 90C25
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### Dual representations for systemic risk measures. (English)Zbl 1433.91187

MSC:  91G45 91G70
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### On Shannon and Zipf-Mandelbrot entropies and related results. (English)Zbl 07459127

MSC:  26A51 26D15 52A41
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### Converse to the Sherman inequality with applications. (English)Zbl 1430.94046

MSC:  94A17 26D15 15B51
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### Improvements of the inequalities for the $$f$$-divergence functional with applications to the Zipf-Mandelbrot law. (English)Zbl 1428.26036

Pečarić, Đilda (ed.) et al., Inequalities and Zipf-Mandelbrot law. Selected topics in information theory. Zagreb: Element. Monogr. Inequal. 15, 167-203 (2019).
MSC:  26D15 26A51 94A17
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### Combinatorial improvements of Zipf-Mandelbrot laws via interpolations. (English)Zbl 1428.26041

Pečarić, Đilda (ed.) et al., Inequalities and Zipf-Mandelbrot law. Selected topics in information theory. Zagreb: Element. Monogr. Inequal. 15, 129-166 (2019).
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### Inequalities for Shannon and Zipf-Mandelbrot entropies by using Jensen’s type inequalities. (English)Zbl 1477.94042

Pečarić, Đilda (ed.) et al., Inequalities and Zipf-Mandelbrot law. Selected topics in information theory. Zagreb: Element. Monogr. Inequal. 15, 89-128 (2019).
MSC:  94A17 26D15 94A15
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### On Zipf-Mandelbrot entropy. (English)Zbl 1476.94022

Pečarić, Đilda (ed.) et al., Inequalities and Zipf-Mandelbrot law. Selected topics in information theory. Zagreb: Element. Monogr. Inequal. 15, 29-44 (2019).
MSC:  94A17 26D15 94A15
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### Estimation of different entropies via Taylor one point and Taylor two points interpolations using Jensen type functionals. (English)Zbl 1438.26085

MSC:  26D15 26A51 94A17
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### Equality cases of inequalities involving generalized Csiszár and Tsallis type $$f$$-divergences. (English)Zbl 1411.94032

MSC:  94A17 26D15 15B48
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### Entropy of chord distribution of convex bodies. (English)Zbl 1423.52006

MSC:  52A20 52A22 60D05
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### A new weighted $$(\alpha, \beta)$$-norm information measure with application in coding theory. (English)Zbl 07552910

MSC:  94A15 94A24 26D15
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### Refinement of Jensen’s inequality and estimation of $$f$$- and Rényi divergence via Montgomery identity. (English)Zbl 07446034

MSC:  26Dxx 94Axx 26Axx
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### An ($$R$$,$$S$$)-norm fuzzy information measure with its applications in multiple-attribute decision-making. (English)Zbl 1402.94041

MSC:  94A15 94A24 26D15
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### Comparison of inequality under incomplete information and based on Schur-convex function. (Chinese. English summary)Zbl 1413.94037

MSC:  94A17 26A51

### New refinements of Jensen’s inequality and entropy upper bounds. (English)Zbl 1395.26007

MSC:  26D15 26B25 94A17
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### Generalizations of maximal inequalities to arbitrary selection rules. (English)Zbl 1398.60036

MSC:  60E15 60G70
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### On Csiszár and Tsallis type $$f$$-divergences induced by superquadratic and convex functions. (English)Zbl 1384.26054

MSC:  26D15 15B51 94A17
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### Generalized permutohedra from probabilistic graphical models. (English)Zbl 06825999

MSC:  62H05 52B12 52B40
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### On new classes of analytic functions imposed via the fractional entropy integral operator. (English)Zbl 1474.30082

MSC:  30C45 30C55
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### Bounds for Shannon and Zipf-Mandelbrot entropies. (English)Zbl 1381.26027

MSC:  26D15 94A17 94A15
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### New information inequalities on absolute value of the functions and its application. (English)Zbl 1371.94578

MSC:  94A17 26D15
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MSC:  30C45
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MSC:  49J52
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### Meetings with Lambert $$\mathcal W$$ and other special functions in optimization and analysis. (English)Zbl 1349.90674

MSC:  90C25 33E99 33F10
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### Parametric $$R$$-norm directed-divergence convex function. (English)Zbl 1401.94060

MSC:  94A15 94A24 26D15
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### Some new generalizations of Jensen’s inequality with related results and applications. (English)Zbl 1337.26042

MSC:  26D15 26A51
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### Singular values of convex functions of operators and the arithmetic-geometric mean inequality. (English)Zbl 1327.47014

MSC:  47B06 47A63
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### An information geometry problem in mathematical finance. (English)Zbl 1405.94027

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 435-443 (2015).
MSC:  94A15 94A17 91G99
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### On limiting towards the boundaries of exponential families. (English)Zbl 1363.94048

MSC:  94A17 62B10 60A10
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### Characterisation of matrix entropies. (English)Zbl 1330.60017

MSC:  60B20 47A63 26B25
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### Shannon like inequalities for $$f$$-connections of positive linear maps and positive operators. (English)Zbl 1392.47001

MSC:  47A05 26D15 94A17
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### New information inequalities in terms of chi-square divergence and its application. (English)Zbl 1355.94023

MSC:  94A17 26D15
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### Comparison of the normalized Jensen functionals of two convex functions with applications. (English)Zbl 1335.26012

MSC:  26D15 26A51 94A17
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MSC:  26B25

### On solving simple bilevel programs with a nonconvex lower level program. (English)Zbl 1301.65050

MSC:  65K05 90C26 90C25
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### A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks. (English)Zbl 1307.92104

MSC:  92C45 92C42 92C40
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### Entropic value-at-risk: a new coherent risk measure. (English)Zbl 1257.91024

MSC:  91B30 91G10
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MSC:  91B30
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MSC:  94A17
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### Right Bregman nonexpansive operators in Banach spaces. (English)Zbl 1408.47011

MSC:  47H09 47H04
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### The $$\Gamma$$-uniform distribution and its applications. (English)Zbl 1243.93123

MSC:  93E12 62E10
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### Some convex functions based measures of independence and their application to strange attractor reconstruction. (English)Zbl 1229.94029

MSC:  94A17 37D45
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### Inequalities in terms of the Gâteaux derivatives for convex functions on linear spaces with applications. (English)Zbl 1230.26011

MSC:  26D15 94A17
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### The entropy principle. Thermodynamics for the unsatisfied. (English)Zbl 1216.80001

Berlin: Springer (ISBN 978-3-642-13348-0/hbk). xi, 180 p. (2011).
MSC:  80-02 80A10 80A17 80A20 80A22 80A50

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### Widths of some classes of convex functions and bodies. (English. Russian original)Zbl 1196.41017

Izv. Math. 74, No. 1, 127-150 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 1, 135-158 (2010).
MSC:  41A46 41A25
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### On properties of quantum channels related to their classical capacity. (English. Russian original)Zbl 1275.81018

Theory Probab. Appl. 52, No. 2, 250-276 (2008); translation from Teor. Veroyatn. Primen. 52, No. 2, 301-335 (2007).
MSC:  81P45 94A40
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MSC:  90C25
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### Some generalized inequalities and their applications. (English)Zbl 1107.94006

MSC:  94A17 94A24

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### A simplified formula for calculation of metric dimension of converging sequences. (English)Zbl 1109.54024

MSC:  54F50 40A05
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MSC:  94D05
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### Large deviations rate function for polling systems. (English)Zbl 1053.60096

MSC:  60K25 90B22 60F10
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### The Brunn-Minkowski inequality. (English)Zbl 1019.26008

MSC:  26D15 52A40
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### A note on entropy optimization. (English)Zbl 1023.49016

Lassonde, Marc (ed.), Approximation, optimization and mathematical economics. Proceedings of the 5th international conference on “Approximation and optimization in the Caribbean”, Guadeloupe, French West Indies, March 29 - April 2, 1999. Heidelberg: Physica-Verlag. 205-211 (2001).
MSC:  49J53 49J45 90C46

### Self-similarity bounds for locally thin set families. (English)Zbl 0986.05093

MSC:  05D05 05C65 94A17
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### On an inequality for the entropy of a probability distribution. (English)Zbl 0984.26015

MSC:  26D15 94A17
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### A geometric approach to duality of metric entropy. (English. Abridged French version)Zbl 0983.46013

Reviewer: M.Turinici (Iaşi)
MSC:  46B20 47B06 46E30
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