Inverse trigonometrically convexity and better approximations
In this paper, we introduce and study the concept of inverse trigonometrically convex functions and their some algebraic properties. We prove some Hermite-Hadamard type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequali...
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| Format: | Article |
| Language: | English |
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Miskolc University Press
2025-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4519 |
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| _version_ | 1849309885761585152 |
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| author | Huriye Kadakal Mahir Kadakal |
| author_facet | Huriye Kadakal Mahir Kadakal |
| author_sort | Huriye Kadakal |
| collection | DOAJ |
| description | In this paper, we introduce and study the concept of inverse trigonometrically convex functions and their some algebraic properties. We prove some Hermite-Hadamard type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value is inverse trigonometrically convex. Moreover, we proved that Hölder-İşcan and improved power-mean integral inequalities give a better approach than Hölder and power-mean inequalities. |
| format | Article |
| id | doaj-art-380b5a644b5f4d728219af0bf523b42b |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-380b5a644b5f4d728219af0bf523b42b2025-08-20T03:53:57ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132025-01-0126130510.18514/MMN.2025.4519Inverse trigonometrically convexity and better approximationsHuriye KadakalMahir KadakalIn this paper, we introduce and study the concept of inverse trigonometrically convex functions and their some algebraic properties. We prove some Hermite-Hadamard type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value is inverse trigonometrically convex. Moreover, we proved that Hölder-İşcan and improved power-mean integral inequalities give a better approach than Hölder and power-mean inequalities.http://mat76.mat.uni-miskolc.hu/mnotes/article/4519 |
| spellingShingle | Huriye Kadakal Mahir Kadakal Inverse trigonometrically convexity and better approximations Miskolc Mathematical Notes |
| title | Inverse trigonometrically convexity and better approximations |
| title_full | Inverse trigonometrically convexity and better approximations |
| title_fullStr | Inverse trigonometrically convexity and better approximations |
| title_full_unstemmed | Inverse trigonometrically convexity and better approximations |
| title_short | Inverse trigonometrically convexity and better approximations |
| title_sort | inverse trigonometrically convexity and better approximations |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/4519 |
| work_keys_str_mv | AT huriyekadakal inversetrigonometricallyconvexityandbetterapproximations AT mahirkadakal inversetrigonometricallyconvexityandbetterapproximations |