Recent Submissions

  • A new approach to linear interval differential equations as a first step toward solving fuzzy differential

    da Costa, Tiago M.; Chalco-Cano, Yurilev; Lodwick, Weldon A.; Silva, Geraldo N. Autor UNESP (Fuzzy Sets and Systems, 2018) [Artigo]
    This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that ...
  • Preface

    da Silva Neto, Antônio José; Santiago, Orestes Llanes; Silva, Geraldo Nunes Autor UNESP (Mathematical Modeling and Computational Intelligence in Engineering Applications, 2016) [Editorial]
  • Mathematical modeling and computational intelligence in engineering applications

    da Silva Neto, Antônio José; Santiago, Orestes Llanes; Silva, Geraldo Nunes Autor UNESP (Mathematical Modeling and Computational Intelligence in Engineering Applications, 2016) [Livro]
    This book brings together a rich selection of studies in mathematical modeling and computational intelligence, with application in several fields of engineering, like automation, biomedical, chemical, civil, electrical, ...
  • The integrated lot sizing and cutting stock problem with saw cycle constraints applied to furniture production

    Vanzela, Matheus Autor UNESP; Melega, Gislaine Mara Autor UNESP; Rangel, Socorro Autor UNESP; Araujo, Silvio Alexandre de Autor UNESP (Computers and Operations Research, 2017) [Artigo]
    The integrated lot sizing and cutting stock problem is studied in the context of furniture production. The goal is to capture the interdependencies between the determination of the lot size and of the cutting process in ...
  • On some extension of optimal control theory

    Karamzin, Dmitry Yu. Autor UNESP; De Oliveira, Valeriano A. Autor UNESP; Pereira, Fernando L.; Silva, Geraldo N. Autor UNESP (European Journal of Control, 2014) [Artigo]
    Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or extension of the problem ensuring the existence of a solution in ...
  • Christoffel formula for kernel polynomials on the unit circle

    Bracciali, C. F. Autor UNESP; Martínez-Finkelshtein, A.; Ranga, A. S. Autor UNESP; Veronese, D. O. (Journal of Approximation Theory, 2018) [Artigo]
    Given a nontrivial positive measure μ on the unit circle T, the associated Christoffel–Darboux kernels are Kn(z,w;μ)=∑k=0 nφk(w;μ)¯φk(z;μ), n≥0, where φk(⋅;μ) are the orthonormal polynomials with respect to the measure μ. ...
  • Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences

    Bracciali, Cleonice F. Autor UNESP; Silva, Jairo S.; Sri Ranga, A. Autor UNESP; Veronese, Daniel O. (Computational and Applied Mathematics, 2018) [Artigo]
    It was shown recently that associated with a pair of real sequences {{cn}n=1∞,{dn}n=1∞}, with {dn}n=1∞ a positive chain sequence, there exists a unique nontrivial probability measure μ on the unit circle. The Verblunsky ...
  • A note on the sufficiency of the maximum principle for infinite horizon optimal control problems

    de Oliveira, Valeriano Antunes Autor UNESP; Silva, Geraldo Nunes Autor UNESP (Optimal Control Applications and Methods, 2018) [Artigo]
    This work is devoted to introduce a new sufficient optimality condition for infinite horizon optimal control problems. It is shown that normal extremal processes are optimal under this new condition, termed as maximum-pr ...
  • Classification and literature review of integrated lot-sizing and cutting stock problems

    Melega, Gislaine Mara Autor UNESP; de Araujo, Silvio Alexandre Autor UNESP; Jans, Raf (European Journal of Operational Research, 2018) [Resenha]
    The aim of this paper is to classify the literature related to the integration between the lot-sizing and cutting stock problem. A deterministic mathematical model, that considers multiple dimensions of integration and ...
  • Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure

    Martínez-Finkelshtein, A.; Sri Ranga, A. Autor UNESP; Veronese, D. O. (Mathematics of Computation, 2018) [Artigo]
    Given a nontrivial Borel measure μ on the unit circle T{double-struck}, the corresponding reproducing (or Christoffel-Darboux) kernels with one of the variables fixed at z = 1 constitute a family of so-called para-orthogonal ...
  • Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs

    Bracciali, Cleonice F. Autor UNESP; Pérez, Teresa E. (Applied Mathematics and Computation, 2017) [Artigo]
    We explore the connection between an infinite system of particles in R2 described by a bi-dimensional version of the Toda equations with the theory of orthogonal polynomials in two variables. We define a 2D Toda lattice ...
  • Sobolev Orthogonal Polynomials on the Unit Circle and Coherent Pairs of Measures of the Second Kind

    Marcellán, F.; Sri Ranga, A. Autor UNESP (Results in Mathematics, 2017) [Artigo]
    We refer to a pair of non trivial probability measures (μ0, μ1) supported on the unit circle as a coherent pair of measures of the second kind on the unit circle if the corresponding sequences of monic orthogonal polynomials ...
  • Orthogonal polynomials associated with complementary chain sequences

    Behera, Kiran Kumar; Sri Ranga, A. Autor UNESP; Swaminathan, A. (Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2016) [Artigo]
    Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ...
  • Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle

    Bracciali, Cleonice F. Autor UNESP; Silva, Jairo S. Autor UNESP; Sri Ranga, A. Autor UNESP; Veronese, Daniel O. Autor UNESP (Journal of Mathematical Analysis and Applications, 2017) [Artigo]
    It is known that given a pair of real sequences {{cn}n=1 ∞,{dn}n=1 ∞}, with {dn}n=1 ∞ a positive chain sequence, we can associate a unique nontrivial probability measure μ on the unit circle. Precisely, the measure is such ...
  • Comparison of mip models for the integrated lot-sizing and one-dimensional cutting stock problem

    Melega, Gislaine Mara Autor UNESP; de Araujo, Silvio Alexandre Autor UNESP; Jans, Raf (Pesquisa Operacional, 2016) [Artigo]
    Production processes comprising both the lot-sizing problem and the cutting stock problem are frequent in various industrial sectors. However these problems are usually treated separately, which can generates suboptimal ...
  • Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas

    Bracciali, C. F. Autor UNESP; Sri Ranga, A. Autor UNESP; Swaminathan, A. (Applied Numerical Mathematics, 2016) [Artigo]
    When a nontrivial measure μ on the unit circle satisfies the symmetry dμ(ei(2π-θ))=-dμ(eiθ) then the associated orthogonal polynomials on the unit circle, say Φn, are all real. In this case, in 1986, Delsarte and Genin ...
  • Radii of starlikeness of some special functions

    Baricz, �rp�d; Dimitrov, Dimitar K. Autor UNESP; Orhan, Halit; Yağmur, Nihat (Proceedings of the American Mathematical Society, 2016) [Artigo]
    Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic ...
  • A class of orthogonal functions given by a three term recurrence formula

    Bracciali, C. F. Autor UNESP; McCabe, J. H.; Pérez, T. E.; Sri Ranga, A. (Mathematics of Computation, 2016) [Artigo]
    We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of ...
  • Radii of starlikeness and convexity of some q-Bessel functions

    Baricz, Árpád; Dimitrov, Dimitar K. Autor UNESP; Mezo, István (Journal of Mathematical Analysis and Applications, 2016) [Artigo]
    Geometric properties of the Jackson and Hahn-Exton q-Bessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of ...
  • On a class of biorthogonal polynomials on the unit circle

    Borrego-Morell, J. Autor UNESP; Rafaeli, Fernando Rodrigo (Journal of Mathematical Analysis and Applications, 2016) [Artigo]
    A system of biorthogonal polynomials with respect to a complex valued measure supported on the unit circle is considered and all the terms with bounds are explicitly given for the remainder of an asymptotic formula given ...

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