Results 11 to 20 of about 218 (118)
Estimation of divergences on time scales via the Green function and Fink’s identity
Advances 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
Journal 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
Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence
Mathematics, 2022 In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities ...
Đilda Pečarić +2 more
doaj +1 more source
New Estimates for the Jensen Gap Using s-Convexity With Applications
Frontiers in Physics, 2020 In this article, we use s-convex and Green functions to obtain a bound for the Jensen gap in discrete form and a bound for the Jensen gap in integral form.
Muhammad Adil Khan +3 more
doaj +1 more source
Association of Jensen’s inequality for s-convex function with Csiszár divergence
Journal of Inequalities and Applications, 2019 In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan +4 more
doaj +1 more source
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 +1 more source
Improvements of Integral Majorization Inequality with Applications to Divergences
Axioms, 2023 Within the recent wave of research advancements, mathematical inequalities and their practical applications play a notably significant role across various domains.
Abdul Basir +5 more
doaj +1 more source
Kuwait Journal of Science, 2023 We take into account differences resulting from the discrete and integral cyclic Jensen's inequalities and provide upper and lower bounds using weighted Hermite-Hadamard inequalities with the support of Fink's identity.
Saad I. Butt +3 more
doaj +1 more source
Journal of Inequalities and Applications, 2020 In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and ...
J. Pečarić, J. Perić
doaj +1 more source
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law
Open Mathematics, 2018 In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed +2 more
doaj +1 more source