36 citations · 38 across the 10 of their papers we have counts for
10 papers
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…
Euler matrices and their algebraic properties revisited
Yamilet Quintana, William Ramírez, Alejandro Urieles
This paper is concerned with the generalized Euler polynomial matrix $\E^{(α)}(x)$ and the Euler matrix $\E$. Taking into account some properties of Euler polynomials and numbers,…
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…