Advancements in Bullen-type inequalities via fractional integral operators and their applications

Muhammad Samraiz; Zohaib Hassan; Saima Naheed; Miguel Vivas-Cortez; Rifaqat Ali; Tarik Lamoudan

doi:10.1016/j.heliyon.2024.e37246

Advancements in Bullen-type inequalities via fractional integral operators and their applications

Muhammad Samraiz, Zohaib Hassan, Saima Naheed, Miguel Vivas-Cortez^*, Rifaqat Ali, Tarik Lamoudan

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

In this paper, we investigate Bullen-type inequalities applicable to functions that are twice-differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals. A comparative analysis is provided to highlight the more refined inequalities from among the explored results. By exploring the limiting cases, a relation with existing literature is established. Several examples are also presented to illustrate the outcomes and their accuracy is validated through graphical analysis. Additionally, applications in generalized means are also discussed.

Idioma original	Inglés
Número de artículo	e37246
Publicación	Heliyon
Volumen	10
N.º	17
DOI	https://doi.org/10.1016/j.heliyon.2024.e37246
Estado	Publicada - 15 sep. 2024

Nota bibliográfica

Publisher Copyright:
© 2024 The Author(s)

Acceder al documento

10.1016/j.heliyon.2024.e37246

Otros archivos y enlaces

Enlace a la publicación en Scopus

1 Terminado
1 Activo

LA DERIVADA FRACCIONAL GENERALIZADA, NUEVOS RESULTADOS Y APLICACIONES EN DESIGUALDADES INTEGRALES
Vivas Cortez, M. J. (Director), Jaramillo Villagómez, J. E. (Investigador principal), VELASCO VELASCO, J. (Investigador Externo), Thabet, S. T. M. (Investigador Externo) & BRAVO QUEZADA, W. G. (Investigador principal)
10/08/24 → 11/08/26
Proyecto: Investigación
RESULTADOS CUALITATIVOS DE ECUACIONES DIFERENCIALES FRACCIONARIAS LOCALES Y DESIGUALDADES INTEGRALES
Delgado Noboa, A. C. (Investigador principal), RANGEL OLIVEROS, Y. C. (Investigador principal), NÁPOLES VALDÉS, J. (Investigador Externo), VELASCO VELASCO, J. (Investigador Externo) & Vivas Cortez, M. J. (Director)
15/03/22 → 16/03/24
Proyecto: Investigación

Citar esto

@article{e0108e4ccb7c4c9293df6b83cad2eb05,

title = "Advancements in Bullen-type inequalities via fractional integral operators and their applications",

abstract = "In this paper, we investigate Bullen-type inequalities applicable to functions that are twice-differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals. A comparative analysis is provided to highlight the more refined inequalities from among the explored results. By exploring the limiting cases, a relation with existing literature is established. Several examples are also presented to illustrate the outcomes and their accuracy is validated through graphical analysis. Additionally, applications in generalized means are also discussed.",

keywords = "2D and 3D graphs, Bullen-type inequalities, Error estimates, Fractional integrals, H{\"o}lder's inequality",

author = "Muhammad Samraiz and Zohaib Hassan and Saima Naheed and Miguel Vivas-Cortez and Rifaqat Ali and Tarik Lamoudan",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",

year = "2024",

month = sep,

day = "15",

doi = "10.1016/j.heliyon.2024.e37246",

language = "English",

volume = "10",

journal = "Heliyon",

issn = "2405-8440",

publisher = "Elsevier Ltd",

number = "17",

}

TY - JOUR

T1 - Advancements in Bullen-type inequalities via fractional integral operators and their applications

AU - Samraiz, Muhammad

AU - Hassan, Zohaib

AU - Naheed, Saima

AU - Vivas-Cortez, Miguel

AU - Ali, Rifaqat

AU - Lamoudan, Tarik

PY - 2024/9/15

Y1 - 2024/9/15

N2 - In this paper, we investigate Bullen-type inequalities applicable to functions that are twice-differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals. A comparative analysis is provided to highlight the more refined inequalities from among the explored results. By exploring the limiting cases, a relation with existing literature is established. Several examples are also presented to illustrate the outcomes and their accuracy is validated through graphical analysis. Additionally, applications in generalized means are also discussed.

AB - In this paper, we investigate Bullen-type inequalities applicable to functions that are twice-differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals. A comparative analysis is provided to highlight the more refined inequalities from among the explored results. By exploring the limiting cases, a relation with existing literature is established. Several examples are also presented to illustrate the outcomes and their accuracy is validated through graphical analysis. Additionally, applications in generalized means are also discussed.

KW - 2D and 3D graphs

KW - Bullen-type inequalities

KW - Error estimates

KW - Fractional integrals

KW - Hölder's inequality

UR - http://www.scopus.com/inward/record.url?scp=85202915642&partnerID=8YFLogxK

U2 - 10.1016/j.heliyon.2024.e37246

DO - 10.1016/j.heliyon.2024.e37246

M3 - Article

AN - SCOPUS:85202915642

SN - 2405-8440

VL - 10

JO - Heliyon

JF - Heliyon

IS - 17

M1 - e37246

ER -

Advancements in Bullen-type inequalities via fractional integral operators and their applications

Resumen

Nota bibliográfica

Acceder al documento

Otros archivos y enlaces

Proyectos

LA DERIVADA FRACCIONAL GENERALIZADA, NUEVOS RESULTADOS Y APLICACIONES EN DESIGUALDADES INTEGRALES

RESULTADOS CUALITATIVOS DE ECUACIONES DIFERENCIALES FRACCIONARIAS LOCALES Y DESIGUALDADES INTEGRALES

Citar esto