Results 11 to 20 of about 223 (119)
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
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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
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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
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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
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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
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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
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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
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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
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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
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Journal of Inequalities and Applications, 2023 In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main
Awais Rasheed +3 more
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