Convergencia Estadística y Sucesiones Cesàro Sumables fuertes
| dc.contributor.advisor | Ramos Fernández , Julio Cesar | |
| dc.contributor.author | Castañeda Hortúa, Juan Felipe | |
| dc.creator.email | juanfelipe.castaneda2017@gmail.com | |
| dc.creator.id | 20071167007 | |
| dc.date.accessioned | 2026-04-16T17:23:22Z | |
| dc.date.available | 2026-04-16T17:23:22Z | |
| dc.date.created | 2025-12-11 | |
| dc.description | El presente trabajo aborda el estudio de la convergencia estadística y su vínculo con las sucesiones cesàro-sumables por medio de funciones módulo que satisfacen ciertas condiciones de densidad natural y propiedades del análisis matemático, como lo son la continuidad, monotonía y subaditividad. Asimismo, se estudia la relación entre la convergencia estadística y la sumabilidad de Cesàro, ampliando la comprensión de los procesos de convergencia y proporcionando herramientas conceptuales y analíticas para tratar sucesiones que no convergen en el sentido clásico. | |
| dc.description.abstract | This paper addresses the study of statistical convergence and its connection to Cesaro-summable sequences through module functions that satisfy certain conditions of natural density and properties of mathematical analysis, such as continuity, monotonicity, and subadditivity. It also examines the relationship between statistical convergence and Cesaro summability, expanding the understanding of convergence processes and providing conceptual and analytical tools for dealing with sequences that do not converge in the classical sense. | |
| dc.format.mimetype | ||
| dc.identifier.uri | http://hdl.handle.net/11349/101071 | |
| dc.language.iso | spa | |
| dc.publisher | Universidad Distrital Francisco José de Caldas | |
| dc.relation.references | M. L.-G. A. Aizpuru and F. Rambla-Barreno. Density by moduli and statistical convergence. Quaestiones Mathematicae, 37(4):525–530, 2014. | |
| dc.relation.references | T. M. Apostol. Análisis matemático: : introducción moderna al cálculo superior. Reverté, primera edición edition, 1960. | |
| dc.relation.references | V. Bhardwaj, S. Dhawan, and S. Gupta. Density by moduli and statistical boundedness. Abstract and Applied Analysis, 2016:1–6, 01 2016. | |
| dc.relation.references | J. Connor. On strong matrix summability with respect to a modulus and statistical convergence. Canadian Mathematical Bulletin, 32(2):194–198, 1989 | |
| dc.relation.references | J. S. Connor. The statistical and strong p-cesaro convergence of sequences. Analysis, 8(1-2):47–64, 1988. | |
| dc.relation.references | O. Duman. Generalized Cesàro summability of Fourier series and its applications. Constr. Math. Anal., 4(2):135–144, 2021. | |
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| dc.relation.references | E. Kamber. Journal of inequalities and special functions intuitionistic fuzzy i-convergent difference sequence spaces defined by modulus function. 10:93–100, 04 2019 | |
| dc.relation.references | I. J. Maddox. Sequence spaces defined by a modulus. Mathematical Proceedings of the Cambridge Philosophical Society, 100(1):161–166, 1986. | |
| dc.relation.references | H. NAKANO. Concave modulars. Journal of the Mathematical Society of Japan, 5(1):29– 49, 1953. | |
| dc.relation.references | W. H. Ruckle. Fk spaces in which the sequence of coordinate vectors is bounded. Canadian Journal of Mathematics, 25(5):973–978, 1973 | |
| dc.relation.references | I. J. Schoenberg. The integrability of certain functions and related summability methods. The American Mathematical Monthly, 66(5):361–375, 1959. | |
| dc.relation.references | A. Zygmund. TRIGONOMETRIC SERIES, page xiii–xvi. Cambridge Mathematical Library. Cam bridge University Press, 2003. | |
| dc.relation.references | T. Šalát. On statistically convergent sequences of real numbers. Mathematica Slovaca, 30(2):139 150, 1980 | |
| dc.rights.acceso | Abierto (Texto Completo) | |
| dc.rights.accessrights | OpenAccess | |
| dc.subject | Densidad natural | |
| dc.subject | Función módulo | |
| dc.subject | Convergencia estadística | |
| dc.subject | Sumabilidad de Cesàro | |
| dc.subject.keyword | Natural Density | |
| dc.subject.keyword | Module Function | |
| dc.subject.keyword | Statistical Convergence | |
| dc.subject.keyword | Cesàro Sumability | |
| dc.subject.lemb | Matemáticas -- Tesis y disertaciones académicas | |
| dc.subject.lemb | Sucesiones (Matemáticas) — Convergencia | |
| dc.subject.lemb | Convergencia estadística — Análisis matemático | |
| dc.subject.lemb | Sumabilidad de Cesàro — Teoría de series | |
| dc.title | Convergencia Estadística y Sucesiones Cesàro Sumables fuertes | |
| dc.title.titleenglish | Statistical Convergence and Strong Cesàro Sumable Sequences | |
| dc.type | bachelorThesis | |
| dc.type.coar | http://purl.org/coar/resource_type/c_7a1f | |
| dc.type.degree | Monografía | |
| dc.type.driver | info:eu-repo/semantics/bachelorThesis |
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