Some Refinements of Selberg Inequality and Related Results-Reference-Cited by-同舟云学术

Some Refinements of Selberg Inequality and Related Results

Published:2023-07-27 Issue:8 Volume:15 Page:1486
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Altwaijry Najla¹^ORCID,Conde Cristian²³^ORCID,Dragomir Silvestru Sever⁴^ORCID,Feki Kais⁵⁶^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. National Scientific and Technical Research Council, Buenos Aires C1425FQB, Argentina

3. Sciences Institute, National University of General Sarmiento, J. M. Gutierrez 1150, Los Polvorines B1613GSX, Argentina

4. Mathematics, College of Sport, Health and Engineering, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, Australia

5. Faculty of Economic Sciences and Management of Mahdia, University of Monastir, Mahdia 5111, Tunisia

6. Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, Tunisia

Abstract

This paper introduces several refinements of the classical Selberg inequality, which is considered a significant result in the study of the spectral theory of symmetric spaces, a central topic in the field of symmetry studies. By utilizing the contraction property of the Selberg operator, we derive improved versions of the classical Selberg inequality. Additionally, we demonstrate the interdependence among well-known inequalities such as Cauchy–Schwarz, Bessel, and the Selberg inequality, revealing that these inequalities can be deduced from one another. This study showcases the enhancements made to the classical Selberg inequality and establishes the interconnectedness of various mathematical inequalities.

Funder

Distinguished Scientist Fellowship Program at King Saud University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/8/1486/pdf

Reference26 articles.

1. Hardy, G.H., Littlewood, J.E., and Polya, G. (1934). Inequalities, Cambridge University Press.

2. Beckenbach, E.F., and Bellman, R. (1961). Inequalities, Springer.

3. Buzano, M.L. (1974). Generalizzazione della Diseguaglianza di Cauchy-Schwarz, Rendiconti del Seminario Matematico Universita e Politecnico. (In Italian).

4. Buzano’s inequality and bounds for roots of algebraic equations;Fujii;Proc. Am. Math. Soc.,1993

5. Mitrinović, D.S., Pexcxarixcx, J.E., and Fink, A.M. (1993). Mathematics and its Applications, Kluwer Academic Publishers Group.

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