Detalles de Evento
SEMINARIO GOYA
PRIMERA CHARLA
Conferenciante: Salameh Sedaghat (Imam Khomeini International University, Iran)
Título: Analytical properties and applications of Eta functions
Abstract: This talk is dedicated to introducing the properties and application of Eta functions. We derive the properties of the Eta function, such as the generating function, integral representation, and the Laplace transform. Also, some properties of the Eta-based functions are introduced. Next, we prove that these functions are the analytical eigensolutions of regular fractional Sturm-Liouville problems (RFSLPs) with the fractional differential operators both of Riemann-Liouville and Caputo type. These eigenfunctions are orthogonal with respect to the weight function associated with RFSLPs and form a set of non-polynomial bases.
SEGUNDA CHARLA
Conferenciante: Marlon J. Recarte (Universidad Nacional Autónoma de Honduras)
Título: Bernstein-type operators on the unit disk
Abstract: We construct and study sequences of linear operators of Bernstein-type acting on bivariate functions defined on the unit disk. To this end, we study Bernstein-type operators under a domain transformation, we analyse the bivariate Bernstein-Stancu operators, and we introduce Bernstein-type operators on disk quadrants by means of continuously differentiable transformations of the function. We state convergence results for continuous functions and we estimate the rate of convergence. Finally some interesting numerical examples are given, comparing approximations using the shifted Bernstein-Stancu and the Bernstein-type operator on disk quadrants.
