On Modified Integral Inequalities for a Generalized Class of Convexity and Applications-Reference-Cited by-同舟云学术

On Modified Integral Inequalities for a Generalized Class of Convexity and Applications

Published:2023-02-05 Issue:2 Volume:12 Page:162
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Srivastava Hari Mohan¹²³⁴^ORCID,Tariq Muhammad⁵^ORCID,Mohammed Pshtiwan Othman⁶^ORCID,Alrweili Hleil⁷,Al-Sarairah Eman⁸⁹^ORCID,Sen Manuel De La¹⁰^ORCID

Affiliation:

1. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

3. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan

4. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

5. Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76062, Pakistan

6. Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq

7. Department of Mathematics, Faculty of Art and Science, Northern Border University, Rafha 73213, Saudi Arabia

8. Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an 71111, Jordan

9. Department of Mathematics, Khalifa University, Abu Dhabi P.O.Box 127788, United Arab Emirates

10. Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, Campus of Leioa (Bizkaia), University of the Basque Country, 48940 Leioa, Spain

Abstract

In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/162/pdf

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