Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex Functions
In this paper, we establish two integral identities associated with differentiable functions and the k-Riemann-Liouville fractional integrals. The results are then used to derive the estimates of upper bound for functions whose first or second derivatives absolute values are higher order strongly s-...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5091857 |
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| _version_ | 1832566013506355200 |
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| author | Shanhe Wu Muhammad Uzair Awan Zakria Javed |
| author_facet | Shanhe Wu Muhammad Uzair Awan Zakria Javed |
| author_sort | Shanhe Wu |
| collection | DOAJ |
| description | In this paper, we establish two integral identities associated with differentiable functions and the k-Riemann-Liouville fractional integrals. The results are then used to derive the estimates of upper bound for functions whose first or second derivatives absolute values are higher order strongly s-convex functions. |
| format | Article |
| id | doaj-art-a4f770caf58c4756b1890f4971ba2773 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a4f770caf58c4756b1890f4971ba27732025-02-03T01:05:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/50918575091857Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex FunctionsShanhe Wu0Muhammad Uzair Awan1Zakria Javed2Department of Mathematics, Longyan University, Longyan 364012, ChinaDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanIn this paper, we establish two integral identities associated with differentiable functions and the k-Riemann-Liouville fractional integrals. The results are then used to derive the estimates of upper bound for functions whose first or second derivatives absolute values are higher order strongly s-convex functions.http://dx.doi.org/10.1155/2020/5091857 |
| spellingShingle | Shanhe Wu Muhammad Uzair Awan Zakria Javed Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex Functions Journal of Function Spaces |
| title | Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex Functions |
| title_full | Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex Functions |
| title_fullStr | Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex Functions |
| title_full_unstemmed | Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex Functions |
| title_short | Estimates of Upper Bound for Differentiable Functions Associated with k-Fractional Integrals and Higher Order Strongly s-Convex Functions |
| title_sort | estimates of upper bound for differentiable functions associated with k fractional integrals and higher order strongly s convex functions |
| url | http://dx.doi.org/10.1155/2020/5091857 |
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