On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals
In this study, some new Hermite-Hadamard type inequalities for co-ordinated convex functions were obtained with the help of conformable fractional integrals. We have presented some remarks to give the relation between our results and earlier obtained results. Moreover, an identity for partial differ...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://aimspress.com/article/doi/10.3934/math.2024502?viewType=HTML |
| _version_ | 1797245051758182400 |
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| author | Mehmet Eyüp Kiriş Miguel Vivas-Cortez Gözde Bayrak Tuğba Çınar Hüseyin Budak |
| author_facet | Mehmet Eyüp Kiriş Miguel Vivas-Cortez Gözde Bayrak Tuğba Çınar Hüseyin Budak |
| author_sort | Mehmet Eyüp Kiriş |
| collection | DOAJ |
| description | In this study, some new Hermite-Hadamard type inequalities for co-ordinated convex functions were obtained with the help of conformable fractional integrals. We have presented some remarks to give the relation between our results and earlier obtained results. Moreover, an identity for partial differentiable functions has been established. By using this equality and concept of co-ordinated convexity, we have proven a trapezoid type inequality for conformable fractional integrals. |
| first_indexed | 2024-04-24T19:20:46Z |
| format | Article |
| id | doaj.art-6c91213548b44b8e86a5730eca70b4f5 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T19:20:46Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6c91213548b44b8e86a5730eca70b4f52024-03-26T01:12:19ZengAIMS PressAIMS Mathematics2473-69882024-03-0194102671028810.3934/math.2024502On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integralsMehmet Eyüp Kiriş 0Miguel Vivas-Cortez1Gözde Bayrak2Tuğba Çınar 3Hüseyin Budak 41. Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyonkarahisar, Türkiye2. Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Naturales y Exactas, Escuela de Ciencias Físicas y Matemáticas, Sede Quito, Ecuador3. Afyon Kocatepe University Graduate School of Natural and Applied Sciences, Afyonkarahisar, Türkiye3. Afyon Kocatepe University Graduate School of Natural and Applied Sciences, Afyonkarahisar, Türkiye4. Department of Mathematics, Faculty of Science and Arts, Dü zce University, Düzce, TürkiyeIn this study, some new Hermite-Hadamard type inequalities for co-ordinated convex functions were obtained with the help of conformable fractional integrals. We have presented some remarks to give the relation between our results and earlier obtained results. Moreover, an identity for partial differentiable functions has been established. By using this equality and concept of co-ordinated convexity, we have proven a trapezoid type inequality for conformable fractional integrals.https://aimspress.com/article/doi/10.3934/math.2024502?viewType=HTMLconvex functionsco-ordinated convex mappinghermite-hadamard inequalityconformable fractional integraltrapezoid type inequalities |
| spellingShingle | Mehmet Eyüp Kiriş Miguel Vivas-Cortez Gözde Bayrak Tuğba Çınar Hüseyin Budak On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals AIMS Mathematics convex functions co-ordinated convex mapping hermite-hadamard inequality conformable fractional integral trapezoid type inequalities |
| title | On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals |
| title_full | On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals |
| title_fullStr | On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals |
| title_full_unstemmed | On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals |
| title_short | On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals |
| title_sort | on hermite hadamard type inequalities for co ordinated convex function via conformable fractional integrals |
| topic | convex functions co-ordinated convex mapping hermite-hadamard inequality conformable fractional integral trapezoid type inequalities |
| url | https://aimspress.com/article/doi/10.3934/math.2024502?viewType=HTML |
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