Results 21 to 30 of about 1,342 (160)

Inequalities for Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal Type f–Divergences [PDF]

open access: yesEntropy, 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

Seeing Through the Mimicry of <i>Papilio bootes</i> by Combining Computer-Aided and Human Eyesight Morphological Comparisons. [PDF]

open access: yesEcol Evol
The study investigates Batesian mimicry between Papilio bootes and Byasa species in West China, revealing that different subspecies of P. bootes mimic Byasa species with varying hindwing spot patterns. Subspecies in the western range mimic four‐spotted Byasa species, while northeastern subspecies mimic spotless ones, with B.
Xie YR   +6 more
europepmc   +2 more sources

Zipf–Mandelbrot law, f-divergences and the Jensen-type interpolating inequalities [PDF]

open access: yesJournal 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

Transcriptional Dynamics of Tomato Plants Under Combined Heat and Salt Stress. [PDF]

open access: yesPhysiol Plant
ABSTRACT The Mediterranean Basin, a hotspot for tomato production, is one of the most vulnerable areas to climate change, where rising temperatures and increasing soil and water salinization represent major threats to agricultural sustainability. Thus, to understand the molecular mechanisms behind plant responses to this stress combination, an RNA‐Seq ...
Sousa B   +5 more
europepmc   +2 more sources

Extension of an Inequality on Three Intervals and Applications to Csiszár ϕ-Divergence and Landau–Kolmogorov Inequality

open access: goldAxioms
In this paper, we generalize an inequality for a convex function in one dimension R1 on three intervals to a function with nondecreasing increments in k dimensions Rk on (2n+1) intervals.
Ðilda Pečarić   +2 more
doaj   +2 more sources

Universal portfolios generated by rational functions [PDF]

open access: yesITM 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

Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals [PDF]

open access: yesArab Journal of Mathematical Sciences, 2020
In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon entropy.
Khuram Ali Khan   +3 more
doaj   +1 more source

Estimation of divergence measures on time scales via Taylor’s polynomial and Green’s function with applications in q-calculus

open access: yesAdvances in Difference Equations, 2021
Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in quantum calculus and
Iqrar Ansari   +4 more
doaj   +1 more source

Estimation of divergences on time scales via the Green function and Fink’s identity

open access: yesAdvances in Difference Equations, 2021
The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity.
Iqrar Ansari   +4 more
doaj   +1 more source

New entropic bounds on time scales via Hermite interpolating polynomial

open access: yesJournal of Inequalities and Applications, 2021
Hermite’s interpolation is utilized to establish a new generalization of an inequality for higher order convex functions containing Csiszár divergence on time scales. New entropic bounds in q-calculus and h-discrete calculus are also deduced.
Iqrar Ansari   +4 more
doaj   +1 more source

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