36 citations · 38 across the 10 of their papers we have counts for
8 papers · 1 filter
Jensen-type inequalities for convex and -convex functions via fractional calculus
Yamilet Quintana, José M. Rodríguez, José M. Sigarreta Almira
Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the…
Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level
Yamilet Quintana, Héctor Torres-Guzmán
The main purpose of this paper is to show some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level . Our approach is based on the use…
Markov-type inequalities and duality in weighted Sobolev spaces
Francisco Marcellán, Yamilet Quintana, José M. Rodríguez
The aim of this paper is to provide Markov-type inequalities in the setting of weighted Sobolev spaces when the considered weights are generalized classical weights. Also, as resul…
On a Theorem by Bojanov and Naidenov applied to families of Gegenbauer-Sobolev polynomials
Vanessa G. Paschoa, Dilcia Pérez, Yamilet Quintana
Let be the sequence of monic orthogonal polynomials with respect the Gegenbauer-Sobolev inner product $$\langle f,g\rangle_{S}:=\int_{-1}^{1}f(x)g(x)(…
Asymptotics for Laguerre-Sobolev type ortogonal polynomials modified within their oscillatory regime
Edmundo J. Huertas, F. Marcellán, María F. Pérez-Valero +1
In this paper we consider sequences of polynomials orthogonal with respect to certain discrete Laguerre-Sobolev inner product, with two perturbations (involving derivatives) locate…
A survey on the Weierstrass approximation theorem
Dilcia Perez, Yamilet Quintana
The celebrated and famous Weierstrass approximation theorem characterizes the set of continuous functions on a compact interval via uniform approximation by algebraic polynomials.…
On Hilbert extensions of Weierstrass' theorem with weights
Yamilet Quintana
In this paper we study the set of functions $\GG$-valued which can be approximated by $\GG$-valued continuous functions in the norm $L^\infty_{\GG}(I,w)$, where is a compact in…
Controllability of the Laguerre and the Jacobi Equations
Diomedes Barcenas, Hugo Leiva, Yamilet Quintana +1
In this paper we study the controllability of the controlled Laguerre equation and the controlled Jacobi equation. For each case, we found conditions which guarantee when such syst…