Extended Hermite–Hadamard inequalities
In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241709 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590771527614464 |
|---|---|
| author | Lakhlifa Sadek Ali Algefary |
| author_facet | Lakhlifa Sadek Ali Algefary |
| author_sort | Lakhlifa Sadek |
| collection | DOAJ |
| description | In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application. |
| format | Article |
| id | doaj-art-b9ae718ea81a4e80b8606d383fe9d79a |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-b9ae718ea81a4e80b8606d383fe9d79a2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912360313604610.3934/math.20241709Extended Hermite–Hadamard inequalitiesLakhlifa Sadek0Ali Algefary1Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamilnadu, IndiaDepartment of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaIn this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.https://www.aimspress.com/article/doi/10.3934/math.20241709fractional derivativescotangent integral operatorsconfluent hypergeometric functionhermite–hadamard inequalitiesoptimization |
| spellingShingle | Lakhlifa Sadek Ali Algefary Extended Hermite–Hadamard inequalities AIMS Mathematics fractional derivatives cotangent integral operators confluent hypergeometric function hermite–hadamard inequalities optimization |
| title | Extended Hermite–Hadamard inequalities |
| title_full | Extended Hermite–Hadamard inequalities |
| title_fullStr | Extended Hermite–Hadamard inequalities |
| title_full_unstemmed | Extended Hermite–Hadamard inequalities |
| title_short | Extended Hermite–Hadamard inequalities |
| title_sort | extended hermite hadamard inequalities |
| topic | fractional derivatives cotangent integral operators confluent hypergeometric function hermite–hadamard inequalities optimization |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241709 |
| work_keys_str_mv | AT lakhlifasadek extendedhermitehadamardinequalities AT alialgefary extendedhermitehadamardinequalities |