Some inequalities related to Csiszár divergence via diamond integral on time scales

DOI10.1186/s13660-023-02966-6OpenAlexW4365517065MaRDI QIDQ6067233

Muhammad Bilal, Ammara Nosheen, Josip E. Pečarić, Khuram Ali Khan

Publication date: 14 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-02966-6

zbMATH Keywords

quantum calculusCsiszár divergencetime scales calculusdiamond integral

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Real analysis on time scales or measure chains (26E70)

Related Items

Bounds of some divergence measures using Hermite polynomial via diamond integrals on time scales

Cites Work

• Symmetric differentiation on time scales
• The diamond integral on time scales
• Notes on the diamond-\(\alpha\) dynamic derivative on time scales
• Estimation of divergence measures via Weighted Jensen inequality on time scales
• New entropic bounds on time scales via Hermite interpolating polynomial
• Estimation of divergence measures on time scales via Taylor's polynomial and Green's function with applications in \(q\)-calculus
• Estimation of divergences on time scales via the Green function and Fink's identity
• New estimates for Csiszár divergence and Zipf-Mandelbrot entropy via Jensen-Mercer's inequality
• Some inequalities for Csiszár divergence via theory of time scales
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