The Factorizational Theory of Finite Asymptotic Expansions in the Real Domain: A Survey of the Main Results

Antonio Granata

Advances in Pure Mathematics Vol.5 No.1

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DOI: 10.4236/apm.2015.51001   3,149 Downloads  3,525 Views  Citations
This article belongs to the Special Issue on Asymptotic Methods

The Role of Asymptotic Mean in the Geometric Theory of Asymptotic Expansions in the Real Domain

Antonio Granata

Advances in Pure Mathematics Vol.5 No.2

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DOI: 10.4236/apm.2015.52013   4,960 Downloads  5,374 Views  Citations

Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-A: The Factorizational Theory for Chebyshev Asymptotic Scales

Antonio Granata

Advances in Pure Mathematics Vol.5 No.8

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DOI: 10.4236/apm.2015.58045   4,462 Downloads  4,773 Views  Citations

Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-B: Solutions of Differential Inequalities and Asymptotic Admissibility of Standard Derivatives

Antonio Granata

Advances in Pure Mathematics Vol.5 No.8

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DOI: 10.4236/apm.2015.58046   4,613 Downloads  4,913 Views  Citations

Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-C: Constructive Algorithms for Canonical Factorizations and a Special Class of Asymptotic Scales

Antonio Granata

Advances in Pure Mathematics Vol.5 No.8

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DOI: 10.4236/apm.2015.58047   4,440 Downloads  4,715 Views  Citations

The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part I: Higher-Order Regular, Smooth and Rapid Variation

Antonio Granata

Advances in Pure Mathematics Vol.6 No.12

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DOI: 10.4236/apm.2016.612063   1,004 Downloads  1,339 Views  Citations

The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part II: Algebraic Operations and Types of Exponential Variation

Antonio Granata

Advances in Pure Mathematics Vol.6 No.12

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DOI: 10.4236/apm.2016.612064   1,001 Downloads  1,439 Views  Citations

Complements to the Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions

Antonio Granata

Advances in Pure Mathematics Vol.9 No.5

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DOI: 10.4236/apm.2019.95022   171 Downloads  283 Views  Citations

Can semi-quantitative evaluation of uncertain (type II) time-intensity curves improve diagnosis in breast DCE-MRI?

Roberta Fusco, Salvatore Filice, Vincenza Granata, Ylenia Mandato, Annamaria Porto, Massimiliano D’Aiuto, Massimo Rinaldo, Maurizio Di Bonito, Mario Sansone, Carlo Sansone, Antonio Rotondo, Antonella Petrillo Petrillo

Journal of Biomedical Science and Engineering Vol.6 No.3A

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DOI: 10.4236/jbise.2013.63A052   3,866 Downloads  5,806 Views  Citations
This article belongs to the Special Issue on Magnetic Resonance Imaging in Clinical Diagnosis

Who Meets the Standrads: A Multidimensional Approach

Antonio Villar

Modern Economy Vol.2 No.4

Full-Text HTML   Pub. Date: September 21, 2011

DOI: 10.4236/me.2011.24069   5,990 Downloads  8,752 Views  Citations

The Educational Development Index: A Multidimensional Approach to Educational Achievements through PISA

Antonio Villar

Modern Economy Vol.4 No.5

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DOI: 10.4236/me.2013.45042   6,506 Downloads  8,296 Views  Citations

Chronic Achilles Tendinopathy in Runners: Relationship between Pain and Tendon Vascularity and Efficacy and Safety of the Radial Extracorporeal Shock Wave Therapy

Antonio Ammendolia

Case Reports in Clinical Medicine Vol.4 No.6

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DOI: 10.4236/crcm.2015.46044   4,879 Downloads  5,715 Views  Citations

Educational Poverty as a Welfare Loss: Low Performance in the OECD According to PISA 2012

Antonio Villar

Modern Economy Vol.7 No.4

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DOI: 10.4236/me.2016.74049   1,846 Downloads  2,292 Views  Citations

Instantaneous Wealth Distribution in a Perpetual Youth Model

Antonio Scialà

Modern Economy Vol.7 No.14

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DOI: 10.4236/me.2016.714146   960 Downloads  1,412 Views  Citations

About the Energy Interval beyond the Ankle Where the Cosmic Radiation Consists Only of Ultraheavy Nuclei from Zinc to the Actinides

Antonio Codino

Journal of Applied Mathematics and Physics Vol.5 No.1

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DOI: 10.4236/jamp.2017.51020   832 Downloads  1,292 Views  Citations

The Energy Spectrum of Ultraheavy Nuclei above 10²⁰ eV

Antonio Codino

Journal of Applied Mathematics and Physics Vol.5 No.8

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DOI: 10.4236/jamp.2017.58128   460 Downloads  818 Views  Citations

On the Wondrous Behaviour of Rats and Researchers

Antonio Villar

Modern Economy Vol.11 No.1

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DOI: 10.4236/me.2020.111002   27 Downloads  62 Views  Citations

On the Spatial Diffusion of Knowledge by Universities Located in Small and Medium Sized Towns

Conceicao Rego, Antonio Caleiro

iBusiness Vol.2 No.2

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DOI: 10.4236/ib.2010.22012   5,334 Downloads  8,375 Views  Citations

Green’s Function Technique and Global Optimization in Reconstruction of Elliptic Objects in the Regular Triangle

Antonio Scalia, Mezhlum A. Sumbatyan

Applied Mathematics Vol.2 No.3

Full-Text HTML   Pub. Date: March 24, 2011

DOI: 10.4236/am.2011.23034   5,372 Downloads  8,943 Views  Citations

Altruism, Selfishness and Social Cohesion

Antonio Luigi Paolilli

Sociology Mind Vol.1 No.4

Full-Text HTML   Pub. Date: October 14, 2011

DOI: 10.4236/sm.2011.14018   7,314 Downloads  13,850 Views  Citations