Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality
In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>n</mi><mo>+</mo><mn>...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/9/1505 |
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| author | Josip Pečarić Anamarija Perušić Pribanić Ksenija Smoljak Kalamir |
| author_facet | Josip Pečarić Anamarija Perušić Pribanić Ksenija Smoljak Kalamir |
| author_sort | Josip Pečarić |
| collection | DOAJ |
| description | In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>−</mo></mrow></semantics></math></inline-formula>convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula. |
| first_indexed | 2024-03-10T03:56:23Z |
| format | Article |
| id | doaj.art-2e03a591c3c649f0bfbfd2404d14c1fa |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:56:23Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2e03a591c3c649f0bfbfd2404d14c1fa2023-11-23T08:45:20ZengMDPI AGMathematics2227-73902022-05-01109150510.3390/math10091505Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s InequalityJosip Pečarić0Anamarija Perušić Pribanić1Ksenija Smoljak Kalamir2Croatian Academy of Sciences and Arts, Trg Nikole Šubića Zrinskog 11, 10000 Zagreb, CroatiaFaculty of Civil Engineering, University of Rijeka, Radmile Matejčić 3, 51000 Rijeka, CroatiaFaculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 28a, 10000 Zagreb, CroatiaIn this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>−</mo></mrow></semantics></math></inline-formula>convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.https://www.mdpi.com/2227-7390/10/9/1505weighted Hermite–Hadamard inequalitySteffensen’s inequalityTaylor’s formula<i>n</i>-convex functions |
| spellingShingle | Josip Pečarić Anamarija Perušić Pribanić Ksenija Smoljak Kalamir Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality Mathematics weighted Hermite–Hadamard inequality Steffensen’s inequality Taylor’s formula <i>n</i>-convex functions |
| title | Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality |
| title_full | Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality |
| title_fullStr | Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality |
| title_full_unstemmed | Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality |
| title_short | Weighted Hermite–Hadamard-Type Inequalities by Identities Related to Generalizations of Steffensen’s Inequality |
| title_sort | weighted hermite hadamard type inequalities by identities related to generalizations of steffensen s inequality |
| topic | weighted Hermite–Hadamard inequality Steffensen’s inequality Taylor’s formula <i>n</i>-convex functions |
| url | https://www.mdpi.com/2227-7390/10/9/1505 |
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