A refined class of harmonically convex functions and Bullen- Mercer-type inequalities

Sabila Ali; Muhammad Samraiz; Saima Naheed; Miguel Vivas-Cortez; Yasser Elmasry

doi:10.22436/jmcs.039.04.06

A refined class of harmonically convex functions and Bullen- Mercer-type inequalities

Sabila Ali, Muhammad Samraiz, Saima Naheed, Miguel Vivas-Cortez^*, Yasser Elmasry

^*Autor correspondiente de este trabajo

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

Resumen

This paper introduces a new class of convex functions namely the harmonic inverse sine trigonometric convex (HISTC)
functions defined over a real vector space, which exhibits unique refinement characteristics. We provide a detailed mathematical
formulation and analyze its algebraic properties. Using this refined class, we establish an identity that serves as a foundation to establish refinements of Bullen-Mercer-type inequalities. The derived results are authenticated through 2D and 3D graphs as well as numerical analysis. Additionally, we demonstrate applications of our findings by their use in analyzing means. By discussing the limiting cases, we prove that the main results are general comparing those in the existing literature.

Idioma original	Inglés
Páginas (desde-hasta)	500-521
Número de páginas	22
Publicación	Journal of Mathematics and Computer Science
Volumen	39
N.º	4
DOI	https://doi.org/10.22436/jmcs.039.04.06
Estado	Publicada - 21 may. 2025

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Publisher Copyright:
©2025 All rights reserved.

Financiación

Financiadores	Número del financiador
King Khalid University	RGP.2/588/45

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10.22436/jmcs.039.04.06

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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

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AU - Elmasry, Yasser

PY - 2025/5/21

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A refined class of harmonically convex functions and Bullen- Mercer-type inequalities

Resumen

Nota bibliográfica

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

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