Results 1 to 10 of about 294,528 (197)

New bounds for Shannon, Relative and Mandelbrot entropies via Hermite interpolating polynomial

Demonstratio Mathematica, 2018
To procure inequalities for divergences between probability distributions, Jensen’s inequality is the key to success. Shannon, Relative and Zipf-Mandelbrot entropies have many applications in many applied sciences, such as, in information theory, biology
Saad Ihsan BUTT, Josip Pečarić, Ðilda Pecaric   +2 more
exaly   +7 more sources

Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial

Journal of Inequalities and Applications, 2020
Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n $\mathfrak{n}$ -convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence ...
Muhammad Adeel, Khuram Ali khan, Josip Pečarić   +2 more
exaly   +4 more sources

Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial

Journal of Inequalities and Applications, 2022
In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals.
Ammara Nosheen, Josip Pečarić
exaly   +3 more sources

A Novel Piecewise Cubic Hermite Interpolating Polynomial-Enhanced Convolutional Gated Recurrent Method under Multiple Sensor Feature Fusion for Tool Wear Prediction [PDF]

Sensors
The monitoring of the lifetime of cutting tools often faces problems such as life data loss, drift, and distortion. The prediction of the lifetime in this situation is greatly compromised with respect to the accuracy.
Hongli Gao, Yang Weng
exaly   +4 more sources

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.
Ammara Nosheen, Khuram Ali khan, Josip Pečarić   +2 more
exaly   +2 more sources

A comparison of piecewise cubic Hermite interpolating polynomials, cubic splines and piecewise linear functions for the approximation of projectile aerodynamics

Defence Technology, 2019
Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.
C.A. Rabbath, D. Corriveau
exaly   +3 more sources

Atomic Electronic Structure Calculations with Hermite Interpolating Polynomials. [PDF]

J Phys Chem A, 2023
26 pages, 9 figures.
Lehtola S.
europepmc   +5 more sources

Innovative Interpolating Polynomial Approach to Fractional Integral Inequalities and Real-World Implementations

Axioms, 2023
Our paper explores Hermite–Hadamard inequalities through the application of Abel–Gontscharoff Green’s function methodology, which involves interpolating polynomials and Riemann-type generalized fractional integrals.
Muhammad Samraiz, Miguel Vivas-Cortez, Gauhar Rahman   +2 more
exaly   +3 more sources

A Preprocessing Pipeline for Pupillometry Signal from Multimodal iMotion Data [PDF]

Sensors
Pupillometry is commonly used to evaluate cognitive effort, attention, and facial expression response, offering valuable insights into human performance.
Jingxiang Ong, Wenjing He, Princess Maglanque, Xianta Jiang, Lawrence M. Gillman, Ashley Vergis, Krista Hardy   +6 more
doaj   +2 more sources

Generalizations of Levinson-type inequalities via new Green functions and Hermite interpolating polynomial

Journal of Inequalities and Applications
In this study, Levinson-type inequalities for the class of n-convex ( n ≥ 3 $n \geq 3$ ) functions are generalized using new Green functions and the Hermite interpolating polynomial involving two types of data points.
Khuram Ali khan, Josip Pečarić, Ðilda Pecaric   +2 more
exaly   +2 more sources