Results 1 to 10 of about 4,883,226 (229)

Lebesgue functions and Lebesgue constants in polynomial interpolation

Journal of Inequalities and Applications, 2016
The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function.
B Ali Ibrahimoglu
exaly   +3 more sources

Elucidating tricuspid Doppler signal interpolation and its implication for assessing pulmonary hypertension

Pulmonary Circulation, 2022
Doppler echocardiography plays a central role in the assessment of pulmonary hypertension (PAH). We aim to improve quality assessment of systolic pulmonary arterial pressure (SPAP) by applying a cubic polynomial interpolation to digitized tricuspid ...
Seraina A. Dual, Constance Verdonk, Myriam Amsallem, Jonathan Pham, Courtney Obasohan, Patrick Nataf, Doff B. McElhinney, Alisa Arunamata, Tatiana Kuznetsova, Roham Zamanian, Jeffrey A. Feinstein, Alison Marsden, François Haddad   +12 more
doaj   +1 more source

A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order

Journal of Inequalities and Applications, 2023
In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
doaj   +1 more source

A note on optimal Hermite interpolation in Sobolev spaces

Journal of Inequalities and Applications, 2022
This paper investigates the optimal Hermite interpolation of Sobolev spaces W ∞ n [ a , b ] $W_{\infty }^{n}[a,b]$ , n ∈ N $n\in \mathbb{N}$ in space L ∞ [ a , b ] $L_{\infty }[a,b]$ and weighted spaces L p , ω [ a , b ] $L_{p,\omega }[a,b]$ , 1 ≤ p < ∞ $
Guiqiao Xu, Xiaochen Yu
doaj   +1 more source

COVID-19 epidemic curve in Brazil: a sum of multiple epidemics, whose inequality and population density in the states are correlated with growth rate and daily acceleration. An ecological study

Revista da Sociedade Brasileira de Medicina Tropical, 2022
Background: The epidemic curve has been obtained based on the 7-day moving average of the events. Although it facilitates the visualization of discrete variables, it does not allow the calculation of the absolute variation rate.
Airandes de Sousa Pinto, Carlos Alberto Rodrigues, Carlito Lopes Nascimento Sobrinho, Lívia Almeida da Cruz, Edval Gomes dos Santos Junior, Paulo Cesar Nunes, Matheus Gomes Reis Costa, Manoel Otávio da Costa Rocha   +7 more
doaj   +1 more source

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.
Fazilat Bibi, Rabia Bibi, Ammara Nosheen, Josip Pečarić   +3 more
doaj   +1 more source

Covid-19 growth rate analysis: application of a low-complexity tool for understanding and comparing epidemic curves

Revista da Sociedade Brasileira de Medicina Tropical, 2020
INTRODUCTION: The acceleration of new cases is important for the characterization and comparison of epidemic curves. The objective of this study was to quantify the acceleration of daily confirmed cases and death curves using the polynomial ...
Airandes de Sousa Pinto, Edval Gomes dos Santos Júnior, Carlos Alberto Rodrigues, Paulo Cesar Mendes Nunes, Livia Almeida da Cruz, Matheus Gomes Reis Costa, Manoel Otávio da Costa Rocha   +6 more
doaj   +1 more source

High order algorithms for numerical solution of fractional differential equations

Advances in Difference Equations, 2021
In this paper, two novel high order numerical algorithms are proposed for solving fractional differential equations where the fractional derivative is considered in the Caputo sense. The total domain is discretized into a set of small subdomains and then
Mohammad Shahbazi Asl, Mohammad Javidi, Yubin Yan   +2 more
doaj   +1 more source

Computing knots by quadratic and cubic polynomial curves

Computational Visual Media, 2020
A new method is presented to determine parameter values (knot) for data points for curve and surface generation. With four adjacent data points, a quadratic polynomial curve can be determined uniquely if the four points form a convex polygon.
Fan Zhang, Jinjiang Li, Peiqiang Liu, Hui Fan   +3 more
doaj   +1 more source

Ulam-Hyers stability of tuberculosis and COVID-19 co-infection model under Atangana-Baleanu fractal-fractional operator

Scientific Reports, 2023
The intention of this work is to study a mathematical model for fractal-fractional tuberculosis and COVID-19 co-infection under the Atangana-Baleanu fractal-fractional operator.
Arunachalam Selvam, Sriramulu Sabarinathan, Beri Venkatachalapathy Senthil Kumar, Haewon Byeon, Kamel Guedri, Sayed M. Eldin, Muhammad Ijaz Khan, Vediyappan Govindan   +7 more
doaj   +1 more source