On the Chebyshev property for a new family of functions

Autor: J. Tomás Lázaro, Joan Torregrosa, Armengol Gasull

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We analyze whether a given set of analytic functions is an Extended Chebyshev system. This family of functions appears studying the number of limit cycles bifurcating from some nonlinear vector field in the plane. Our approach is mainly based on the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d15ab3ed7396c65aaa96bd0a177fb3d
http://hdl.handle.net/2072/410471

Generalizations of Szőkefalvi Nagy and Chebyshev inequalities with applications in spectral graph theory

Autor: Boris Furtula, Kinkar Chandra Das, Emina I. Milovanovic, Igor Z. Milovanovic, Ivan Gutman

Publikováno v: Applied Mathematics and Computation. 313:235-244

Two weighted inequalities for real non-negative sequences are proven. The first one represents a generalization of the Szőkefalvi Nagy inequality for the variance, and the second a generalization of the discrete Chebyshev inequality for two real seq

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fc1e874981f31f39d6a80b346eba6052
https://doi.org/10.1016/j.amc.2017.05.064

Generalizing a Caccioppoli-type inequality

Autor: Bernd S. W. Schröder, Vilmos Komornik, Jiu Ding

Publikováno v: Journal of Mathematical Analysis and Applications. 448:1369-1377

We generalize the case p = 2 of the Caccioppoli-type inequality from [5] to multidimensional domains. The argument also provides a simpler proof of the case p = 2 of the original inequality.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::819474310abfc51c540cd3abcd119abc
https://doi.org/10.1016/j.jmaa.2016.11.068

A novel summation inequality for stability analysis of discrete-time neural networks

Autor: Yan-Jun Shu, Feng-Xian Wang, Xinge Liu

Publikováno v: Journal of Computational and Applied Mathematics. 304:160-171

In this paper, based on the discrete Wirtinger inequality, a novel summation inequality is established which extends the Jensen inequality. By the technique of the novel inequality, a sufficient criterion on asymptotic stability of discrete neural ne

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8fa42afe73528018d74fb59e3b9849dc
https://doi.org/10.1016/j.cam.2016.03.006

Chebyshev Cardinal Functions for Solving Age-Structured Population Models

Autor: Zakieh Avazzadeh, Mohammad Hossein Heydari

Publikováno v: International Journal of Applied and Computational Mathematics. 3:2139-2149

In this paper, we use Chebyshev cardinal functions for solving a nonlinear age-structured population models. This partial integro-differential equation includes an integral equation as a boundary condition. The proposed method which approximates the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ca759abe9f27d571a3df8ca0f30b1752
https://doi.org/10.1007/s40819-016-0236-x