On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
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–Hadama...
| Authors: | ; ; ; ; ; |
|---|---|
| Format: | Article |
| Publication date: | 2023 |
| Country: | España |
| Institution: | Universidad del País Vasco |
| Repository: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/60100 |
| Online Access: | http://hdl.handle.net/10810/60100 |
| Access Level: | Open access |
| Keyword: | convexity theory p-convex function m-convex function Hermite–Hadamard inequality |
| _version_ | 1878740357377687553 |
|---|---|
| author | Srivastava, Hari Mohan |
| author2 | Tariq, Muhammad Mohammed, Pshtiwan Othman Alrweili, Hleil Al-Sarairah, Eman De la Sen Parte, Manuel |
| author2_role | author author author author author |
| author_browse | Al-Sarairah, Eman Alrweili, Hleil De la Sen Parte, Manuel Mohammed, Pshtiwan Othman Srivastava, Hari Mohan Tariq, Muhammad |
| author_facet | Srivastava, Hari Mohan Tariq, Muhammad Mohammed, Pshtiwan Othman Alrweili, Hleil Al-Sarairah, Eman De la Sen Parte, Manuel |
| author_role | author |
| collection | Addi. Archivo Digital para la Docencia y la Investigación |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_d1939b2c0aa856420dd3155d5d5761c4 |
| institution | Universidad del País Vasco |
| instname_str | Universidad del País Vasco |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:addi.ehu.eus:10810/60100 |
| publishDate | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI |
| publisherStr | MDPI |
| reponame_str | Addi. Archivo Digital para la Docencia y la Investigación |
| spelling | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications Srivastava, Hari Mohan Tariq, Muhammad Mohammed, Pshtiwan Othman Alrweili, Hleil Al-Sarairah, Eman De la Sen Parte, Manuel convexity theory p-convex function m-convex function Hermite–Hadamard inequality 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. MDPI http://hdl.handle.net/10810/60100 |
| spellingShingle | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications Srivastava, Hari Mohan convexity theory p-convex function m-convex function Hermite–Hadamard inequality |
| title | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications |
| title_full | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications |
| title_fullStr | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications |
| title_full_unstemmed | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications |
| title_short | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications |
| title_sort | On Modified Integral Inequalities for a Generalized Class of Convexity and Applications |
| topic | convexity theory p-convex function m-convex function Hermite–Hadamard inequality |
| topic_facet | convexity theory p-convex function m-convex function Hermite–Hadamard inequality |
| url | http://hdl.handle.net/10810/60100 |