Multiplicative Harmonic <i>P</i> ‐Functions With Some Related Inequalities

This manuscript includes the investigation of the idea of a multiplicative harmonic P ‐function and construction of the Hermite–Hadamard inequality for such a sort of functions. We also establish several Hermite–Hadamard type inequalities in the setting of multiplicative calculus. Furthermore, we establish upper bounds for such a particular set of functions. Our conclusions are validated by presenting suitable examples with graphs. Through the analysis of this specific class of convex functions, our aim is to reveal novel mathematical viewpoints, characteristics, and relationships that can improve the advancement of more robust mathematical methodologies. Findings from this study contributes to the development of mathematical tools across a wide range of scientific disciplines.

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Publication Details

Journal
Journal of Function Spaces
Published
2025-01-01
DOI
https://doi.org/10.1155/jofs/2753913
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Multiplicative Harmonic P ‐Functions With Some Related Inequalities

Saad Ihsan Butt, Hossam A. Nabwey, Serap Özcan, Sina Etemad
Journal of Function Spaces
Mathematical Inequalities and Applications
article

Multiplicative Harmonic P ‐Functions With Some Related Inequalities

Saad Ihsan Butt, Hossam A. Nabwey, Serap Özcan, Sina Etemad
article en

Abstract

This manuscript includes the investigation of the idea of a multiplicative harmonic P ‐function and construction of the Hermite–Hadamard inequality for such a sort of functions. We also establish several Hermite–Hadamard type inequalities in the setting of multiplicative calculus. Furthermore, we establish upper bounds for such a particular set of functions. Our conclusions are validated by presenting suitable examples with graphs. Through the analysis of this specific class of convex functions, our aim is to reveal novel mathematical viewpoints, characteristics, and relationships that can improve the advancement of more robust mathematical methodologies. Findings from this study contributes to the development of mathematical tools across a wide range of scientific disciplines.

Journal of Function SpacesVol. 2025(1)
Prince Sattam Bin Abdulaziz University (SA), COMSATS University Islamabad (PK), Turku University of Applied Sciences (FI), Jadara University (JO), Azarbaijan Shahid Madani University (IR), Menoufia University (EG)
Azarbaijan Shahid Madani University
Openalex Percentile: Top 61%
Mathematical Inequalities and Applications
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Multiplicative Harmonic <i>P</i> ‐Functions With Some Related Inequalities — Saad Ihsan Butt, Hossam A. Nabwey, et al. · Journal of Function Spaces (2025) | TGRS Research Map | TGRS