Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions
Jensen-type inequalities for the recently introduced new class of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>h</mi><mo>,</mo><mi>g</mi><...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3312 |
| _version_ | 1797502606082310144 |
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| author | Maja Andrić |
| author_facet | Maja Andrić |
| author_sort | Maja Andrić |
| collection | DOAJ |
| description | Jensen-type inequalities for the recently introduced new class of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>h</mi><mo>,</mo><mi>g</mi><mo>;</mo><mi>m</mi><mo>)</mo></mrow></semantics></math></inline-formula>-convex functions are obtained, and certain special results are indicated. These results generalize and extend corresponding inequalities for the classes of convex functions that already exist in the literature. Schur-type inequalities are given. |
| first_indexed | 2024-03-10T03:37:30Z |
| format | Article |
| id | doaj.art-bc4bb41223aa48768e8370994c4b7451 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:37:30Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-bc4bb41223aa48768e8370994c4b74512023-11-23T09:27:19ZengMDPI AGMathematics2227-73902021-12-01924331210.3390/math9243312Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex FunctionsMaja Andrić0Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice Hrvatske 15, 21000 Split, CroatiaJensen-type inequalities for the recently introduced new class of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>h</mi><mo>,</mo><mi>g</mi><mo>;</mo><mi>m</mi><mo>)</mo></mrow></semantics></math></inline-formula>-convex functions are obtained, and certain special results are indicated. These results generalize and extend corresponding inequalities for the classes of convex functions that already exist in the literature. Schur-type inequalities are given.https://www.mdpi.com/2227-7390/9/24/3312convex functionSchur inequalityJensen inequality |
| spellingShingle | Maja Andrić Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions Mathematics convex function Schur inequality Jensen inequality |
| title | Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions |
| title_full | Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions |
| title_fullStr | Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions |
| title_full_unstemmed | Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions |
| title_short | Jensen-Type Inequalities for (<i>h</i>, <i>g</i>; <i>m</i>)-Convex Functions |
| title_sort | jensen type inequalities for i h i i g i i m i convex functions |
| topic | convex function Schur inequality Jensen inequality |
| url | https://www.mdpi.com/2227-7390/9/24/3312 |
| work_keys_str_mv | AT majaandric jensentypeinequalitiesforihiigiimiconvexfunctions |