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Analysis of institutional authors

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Strong Partially Greedy Bases and Lebesgue-Type Inequalities

Publicated to:CONSTRUCTIVE APPROXIMATION. 54 (3): 507-528 - 2021-12-01 54(3), DOI: 10.1007/s00365-021-09531-8

Authors: Berasategui M; Berná PM; Lassalle S

Affiliations

CEU Univ, Univ San Pablo CEU, Dept Matemat Aplicada & Estadist, Fac Ciencias Econ & Empresariales, Madrid 28003, Spain - Author
CEU Universities - Author
Consejo Nacional de Investigaciones Científicas y Técnicas - Author
Consejo Nacl Invest Cient & Tecn, IMAS, Buenos Aires, DF, Argentina - Author
Univ Buenos Aires, Fac Ciencias Exactas & Nat, CONICET, INIAS,UBA,Pab 1, RA-1428 Buenos Aires, DF, Argentina - Author
Univ San Andres, Dept Matemat, Vito Duma 284, RA-1644 Buenos Aires, DF, Argentina - Author
Universidad de Buenos Aires - Author
Universidad de San Andrés - Author
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Abstract

In this paper, we continue the study of Lebesgue-type inequalities for greedy algorithms. We introduce the notion of strong partially greedy Markushevich bases and study the Lebesgue-type parameters associated with them. We prove that this property is equivalent to that of being conservative and quasi-greedy, extending a similar result given in Dilworth et al. (Constr Approx 19:575–597, 2003) for Schauder bases. We also give a characterization of 1-strong partial greediness, following the study started in Albiac and Ansorena (Rev Matem Compl 30(1):13–24, 2017), Albiac and Wojtaszczyk (J Approx Theory 138:65–86, 2006).

Keywords

Greedy algorithmLebesgue-type inequalityNonlinear approximationPartially greedy basesQuasi-greedy bases

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal CONSTRUCTIVE APPROXIMATION due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position 54/333, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 2.07. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 2.38 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 8.12 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-10, the following number of citations:

  • WoS: 5
  • Scopus: 10
  • OpenCitations: 7

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-10:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Argentina.

the author responsible for correspondence tasks has been BERNA LARROSA, PABLO MANUEL.