Results 1 to 10 of about 10,019,817 (111)
Majorization, Csiszár divergence and Zipf-Mandelbrot law [PDF]
Journal of Inequalities and Applications, 2017 In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities.
Naveed Latif +2 more
doaj +3 more sources
Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences [PDF]
Entropy, 2021 In this paper, we introduce new divergences called Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal in relation to convex functions. Some theorems, which give the lower and upper bounds for two new introduced divergences, are provided.
Paweł A. Kluza
doaj +2 more sources
Some inequalities for Csiszár divergence via theory of time scales
Advances in Difference Equations, 2020 In this paper, we present some inequalities for Csiszár f-divergence between two probability measures on time scale. These results extend some known results in the literature and offer new results in h-discrete calculus and quantum calculus.
Iqrar Ansari +4 more
doaj +2 more sources
Zipf–Mandelbrot law, f-divergences and the Jensen-type interpolating inequalities [PDF]
Journal of Inequalities and Applications, 2018 Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type inequalities, in this paper we integrate this approach with the well known Zipf–Mandelbrot law applied to various types of f-divergences and distances, such ...
Neda Lovričević +2 more
doaj +2 more sources
Universal portfolios generated by rational functions [PDF]
ITM Web of Conferences, 2021 The f -divergence of Csiszar is defined for a non-negative convex function on the positive axis. A pseudo f -divergence can be defined for a convex function not satisfying the usual requirements.
Kuang Kee Seng +2 more
doaj +1 more source
Some inequalities related to Csiszár divergence via diamond integral on time scales
Journal of Inequalities and Applications, 2023 In this paper, Csiszár f-divergence via diamond integral is introduced and some inequalities related to Csiszár f-divergence involving diamond integrals are presented.
Muhammad Bilal +3 more
doaj +1 more source
Journal of Inequalities and Applications, 2020 This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017).
Nouman Siddique +3 more
doaj +1 more source
Advances in Difference Equations, 2020 In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique +3 more
doaj +1 more source
Estimations of divergence measures for majorization inequalities via Peano’s representation of Hermite’s polynomial [PDF]
Arab Journal of Mathematical SciencesPurposeIn this paper applications to information theory are presented. Generalized majorization theorem is presented in term of different entropies and divergences. So that obtained results are generalized and comprehensive.Design/methodology/approachThe
Awais Rasheed +3 more
doaj +1 more source
Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications
Journal of Inequalities and ApplicationsStrongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality.
Slavica Ivelić Bradanović +1 more
doaj +1 more source