Determination of Novel Estimations for the Slater Difference and Applications
The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of conv...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2024/8481103 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546173406150656 |
|---|---|
| author | Muhammad Adil Khan Hidayat Ullah Tareq Saeed Zaid M. M. M. Sayed Salha Alshaikey Emad E. Mahmoud |
| author_facet | Muhammad Adil Khan Hidayat Ullah Tareq Saeed Zaid M. M. M. Sayed Salha Alshaikey Emad E. Mahmoud |
| author_sort | Muhammad Adil Khan |
| collection | DOAJ |
| description | The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity. We present a diverse type of applications that stem from the main findings related to power means, Zipf–Mandelbrot entropy, and within the field of information theory. Our main tools for deriving estimates for the Slater difference involve the triangular inequality, the definition of the convex function, and the well-established Jensen inequality. |
| format | Article |
| id | doaj-art-052068f30853446b9e4dcbb28b34df59 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-052068f30853446b9e4dcbb28b34df592025-02-03T07:23:39ZengWileyComplexity1099-05262024-01-01202410.1155/2024/8481103Determination of Novel Estimations for the Slater Difference and ApplicationsMuhammad Adil Khan0Hidayat Ullah1Tareq Saeed2Zaid M. M. M. Sayed3Salha Alshaikey4Emad E. Mahmoud5Department of MathematicsDepartment of MathematicsFinancial Mathematics and Actuarial Science (FMAS)-Research GroupDepartment of MathematicsSaudi Arabia-Alqunfudah Mathematics DepartmentDepartment of Mathematics and StatisticsThe field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity. We present a diverse type of applications that stem from the main findings related to power means, Zipf–Mandelbrot entropy, and within the field of information theory. Our main tools for deriving estimates for the Slater difference involve the triangular inequality, the definition of the convex function, and the well-established Jensen inequality.http://dx.doi.org/10.1155/2024/8481103 |
| spellingShingle | Muhammad Adil Khan Hidayat Ullah Tareq Saeed Zaid M. M. M. Sayed Salha Alshaikey Emad E. Mahmoud Determination of Novel Estimations for the Slater Difference and Applications Complexity |
| title | Determination of Novel Estimations for the Slater Difference and Applications |
| title_full | Determination of Novel Estimations for the Slater Difference and Applications |
| title_fullStr | Determination of Novel Estimations for the Slater Difference and Applications |
| title_full_unstemmed | Determination of Novel Estimations for the Slater Difference and Applications |
| title_short | Determination of Novel Estimations for the Slater Difference and Applications |
| title_sort | determination of novel estimations for the slater difference and applications |
| url | http://dx.doi.org/10.1155/2024/8481103 |
| work_keys_str_mv | AT muhammadadilkhan determinationofnovelestimationsfortheslaterdifferenceandapplications AT hidayatullah determinationofnovelestimationsfortheslaterdifferenceandapplications AT tareqsaeed determinationofnovelestimationsfortheslaterdifferenceandapplications AT zaidmmmsayed determinationofnovelestimationsfortheslaterdifferenceandapplications AT salhaalshaikey determinationofnovelestimationsfortheslaterdifferenceandapplications AT emademahmoud determinationofnovelestimationsfortheslaterdifferenceandapplications |