BOSCH PÉREZ, PAUL JESÚS
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BOSCH PÉREZ, PAUL JESÚS
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pbosch@udd.cl
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8630247500

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On a generalization of the Opial inequality

2024 , BOSCH PÉREZ, PAUL JESÚS , Ana Portilla , Jose M. Rodriguez , Jose M. Sigarreta

Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this work, some new Opial-type inequalities are given and applied to generalized Riemann-Liouville-type integral operators.

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On Ostrowski Type Inequalities for Generalized Integral Operators

2022 , Martha Paola Cruz , Ricardo Abreu-Blaya , BOSCH PÉREZ, PAUL JESÚS , José M. Rodríguez , José M. Sigarreta , Xiaolong Qin

It is well known that mathematical inequalities have played a very important role in solving both theoretical and practical problems. In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.

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Comment on “An algorithm for moment-matching scenario generation with application to financial portfolio optimization”

2018 , Juan Pablo Contreras , BOSCH PÉREZ, PAUL JESÚS , HERRERA MARÍN, MAURICIO RENÉ

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A New Genetic Algorithm Encoding for Coalition Structure Generation Problems

2020 , Juan Pablo Contreras , BOSCH PÉREZ, PAUL JESÚS , VARAS VALDÉS, MAURICIO ANDRÉS , Franco Basso

Genetic algorithms have proved to be a useful improvement heuristic for tackling several combinatorial problems, including the coalition structure generation problem. In this case, the focus lies on selecting the best partition from a discrete set. A relevant issue when designing a Genetic algorithm for coalition structure generation problems is to choose a proper genetic encoding that enables an efficient computational implementation. In this paper, we present a novel hybrid encoding, and we compare its performance against several genetic encoding proposed in the literature. We show that even in difficult instances of the coalition structure generation problem, the proposed approach is a competitive alternative to obtaining good quality solutions in reasonable computing times. Furthermore, we also show that the encoding relevance increases as the number of players increases.

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On the Generalized Laplace Transform

2021 , BOSCH PÉREZ, PAUL JESÚS , Héctor José Carmenate García , José Manuel Rodríguez , José María Sigarreta

In this paper we introduce a generalized Laplace transform in order to work with a very general fractional derivative, and we obtain the properties of this new transform. We also include the corresponding convolution and inverse formula. In particular, the definition of convolution for this generalized Laplace transform improves previous results. Additionally, we deal with the generalized harmonic oscillator equation, showing that this transform and its properties allow one to solve fractional differential equations.

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Inequalities on the Generalized ABC Index

2021 , BOSCH PÉREZ, PAUL JESÚS , Edil D. Molina , José M. Rodríguez , José M. Sigarreta

In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić index. Some of these inequalities for ABCα improved, when α=1/2, known results on the ABC index. Moreover, in order to obtain our results, we proved a kind of converse Hölder inequality, which is interesting on its own.

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Feasibility for Network Flows with Blending Constraints: Application to Lithium Mining

2020 , BOSCH PÉREZ, PAUL JESÚS , Andres Soto-Bubert , Roberto Acevedo

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Generalized inequalities involving fractional operators of the Riemann-Liouville type

2021 , BOSCH PÉREZ, PAUL JESÚS , Héctor J. Carmenate , José M. Rodríguez , José M. Sigarreta

In this paper, we present a general formulation of the well-known fractional drifts of Riemann-Liouville type. We state the main properties of these integral operators. Besides, we study Ostrowski, Székely-Clark-Entringer and Hermite-Hadamard-Fejér inequalities involving these general fractional operators.

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Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains

2020 , Yudier Peña Pérez , Ricardo Abreu Blaya , BOSCH PÉREZ, PAUL JESÚS , Juan Bory Reyes

We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. The study deals with a novel approach of h-summability condition for the curves, which would be extremely irregular and deserve to be considered fractals. Our technique of proofs is based on the intimate relations between solutions of time-harmonic Maxwell system and those of the Dirac equation through some nonlinear equations, when both cases are reformulated in quaternionic forms.

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Some new Milne-type inequalities

2024 , BOSCH PÉREZ, PAUL JESÚS , José M. Rodríguez , José M. Sigarreta , Eva Tourís

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