sample of publications

• articles 

  • Concerning multivariate Bernstein polynomials and stochastic logic.  Kragujevac Journal of Mathematics.  49:465-484. 2025
  • Bounds for the Gutman-Milovanovic index and some applications.  JOURNAL OF MATHEMATICAL CHEMISTRY.  63:406-418. 2025
  • Degenerate versions of hypergeometric Bernoulli-Euler polynomials.  Lobachevskii Journal of Mathematics.  45:3509-3521. 2024
  • A degenerate version of hypergeometric Bernoulli polynomials: announcement of results.  Communications in Applied and Industrial Mathematics.  15:36-43. 2024
  • A survey on orthogonal polynomials from a monomiality principle point of view.  Encyclopedia.  4:1355-1366. 2024
  • A note on generalized degenerate q-Bernoulli and q-Euler matrices.  Dolomites Research Notes on Approximation.  17:63-71. 2024
  • New bounds for variable topological indices and applications.  JOURNAL OF MATHEMATICAL CHEMISTRY.  62:1435-1453. 2024
  • Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials: some properties.  Communications in Applied and Industrial Mathematics.  15:123-136. 2024
  • New reverse Hölder-type inequalities and applications.  MATHEMATICAL INEQUALITIES & APPLICATIONS.  26:1021-1038. 2023
  • Mixed-type hypergeometric Bernoulli-Gegenbauer polynomials.  Mathematics.  11:1-16. 2023
  • Properties of multivariate Hermite polynomials in correlation with Frobenius-Euler polynomials.  Mathematics.  11:1-17. 2023
  • A look at generalized degenerate Bernoulli and Euler matrices.  Mathematics.  11:1-15. 2023
  • Exponential topological indices: optimal inequalities and applications.  JOURNAL OF MATHEMATICAL CHEMISTRY.  61:933-949. 2023
  • Generalized mixed type Bernoulli-Gegenbauer polynomials.  Kragujevac Journal of Mathematics.  47:245-257. 2023
  • On generalized Bernoulli-Barnes polynomials.  Mathematical Reports.  24:617-636. 2022
  • Jensen-type inequalities for m-convex functions.  Open Mathematics.  20:946-958. 2022
  • Lagrange-based hypergeometric Bernoulli polynomials.  Symmetry-Basel.  14:1-12. 2022
  • Euler matrices and their algebraic properties revisited.  Applied Mathematics and Information Sciences.  14:583-596. 2020
  • Bernstein polynomials and stochastic computing = Polinomios de Bernstein y codificación estocástica de la información.  Revista de Matemáticas de la Universidad del Atlántico.  6:32-42. 2019
  • Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level m.  Universal Journal of Mathematics and Applications.  2:188-201. 2019
  • Generalized Apostol-type polynomial matrix and its algebraic properties.  Mathematical Reports.  21(71):249-264. 2019
  • Weighted Sobolev spaces: Markov-type inequalities and duality.  Bulletin of Mathematical Sciences.  8:233-256. 2018
  • On an operational matrix method based on generalized Bernoulli polynomials of level m.  CALCOLO.  55:1-29. 2018
  • Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level m.  Bulletin of Computational Applied Mathematics.  6:43-64. 2018
  • Interpolation at critical points of an algebraic polynomial: A review of a result due to C. Davis.  Boletín de la Asociación Matemática Venezolana.  25:31-49. 2018
  • About extensions of generalized Apostol-type polynomials.  Results in Mathematics.  68:203-225. 2015
  • Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  421:314-328. 2015
  • Measurable diagonalization of positive definite matrices.  JOURNAL OF APPROXIMATION THEORY.  185:91-97. 2014
  • Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime.  APPLIED MATHEMATICS AND COMPUTATION.  236:260-272. 2014
  • Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product.  Bulletin of Mathematical Sciences.  4:83-97. 2014
  • A Cohen type inequality for Laguerre-Sobolev expansions with a mass point outside their oscillatory regime.  Turkish Journal of Mathematics.  38:994-1006. 2014
  • On the Pollard decomposition method applied to some Jacobi-Sobolev expansion.  Turkish Journal of Mathematics.  37:934-948. 2013
  • On W1,p,p-convergence of Fourier&-Sobolev expansions.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  398. 2013
  • Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms.  Journal of Function Spaces and Applications.  2013:1-11. 2013
  • On W-1,W-p-convergence of Fourier-Sobolev expansions.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  398:594-599. 2012
  • Sobolev formal orthogonality on algebraic curves and extensions of Favard theorem.  Jaen Journal on Approximation.  3:193-207. 2011
  • Zero Location and Asymptotic behavior for Extremal Polynomials with Non-Diagonal Sobolev Norms.  JOURNAL OF APPROXIMATION THEORY.  162:2225-2242. 2010
  • On Hilbert extensions of Weierstrass" theorem with weights.  Journal of Function Spaces.  8:201-213. 2010

• books 

  • Teoría de hipergrupos, problemas de Sturm-Liouville y polinomios ortogonales.  Mérida: IVIC - Instituto Venezolano de Investigaciones Científicas. 2015
  • Aproximación polinomial y ortogonalidad estándar sobre la recta.  Barranquilla: UNIVERSIDAD DEL ATLANTICO. 2013
  • Polinomios ortogonales no estándar. Propiedades algebraicas y analíticas.  Mérida: Instituto Venezolano de Investigaciones Científicas. 2009
  • Polinomios ortogonales no estándar: propiedades algebraicas y analíticas.  CARACAS: Instituto Venezolano de Investigaciones Científicas. 2009

• conference contributions 

  • Jensen-type inequalities for m-convex functions and applications 2024
  • Mixed-type hypergeometric Bernoulli- Gegenbauer polynomials: some properties.  43-43. 2024
  • Nuevas desigualdades de tipo Hölder inversas y aplicaciones 2024
  • Matrices degeneradas generalizadas de Bernoulli y Euler 2023
  • New reverse Hölder-type inequalities and applications.  16-16. 2023
  • Generalized mixed type Bernoulli-Gegenbauer and Lagrange-based hypergeometric Bernoulli polynomials.  74-74. 2022
  • Mixed type hypergeometric Bernoulli-Gegenbauer polynomials: announcement of results.  10-10. 2022
  • Measurable diagonalization of positive definite matrices 2017
  • Asymptotics of extremal polynomials with respect to Sobolev norms. 2016
  • Markov-type inequalities and duality in weighted Sobolev spaces. 2016
  • A Cohen type inequality for Laguerre-Sobolev expansions 2014
  • Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications. 2014
  • Measurable diagonalization of positive de nite matrices and applications to non-diagonal Sobolev orthogonal polynomials 2014
  • Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms 2011