New bounds of Popoviciu's difference via weighted Hadamard type inequalities with applications in information theory
DOI10.1002/mma.9889zbMath1547.26041MaRDI QIDQ6559959
Tahir Rasheed, Saad Ihsan Butt, Josip E. Pečarić, Đilda Pečarić
Publication date: 21 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Green functionsPopoviciu inequalityShannon entropyKullback-Leibler distanceweighted Hermite-Hadamard inequalityZipf and hybrid Zipf-Mandelbrot entropy
Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Information theory (general) (94A15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- Generalization of Popoviciu-type inequalities via Fink identity
- New extensions of Popoviciu's inequality
- New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
- On the weighted generalization of the Hermite-Hadamard inequality and its applications
- Popoviciu's inequality for functions of several variables
- Convex functions, partial orderings, and statistical applications
- Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
- Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function
- Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law
- New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial
This page was built for publication: New bounds of Popoviciu's difference via weighted Hadamard type inequalities with applications in information theory
