Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional int...
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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 Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4189036 |
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| _version_ | 1832550363416231936 |
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| author | Yu-Ming Chu Muhammad Uzair Awan Muhammad Zakria Javad Awais Gul Khan |
| author_facet | Yu-Ming Chu Muhammad Uzair Awan Muhammad Zakria Javad Awais Gul Khan |
| author_sort | Yu-Ming Chu |
| collection | DOAJ |
| description | The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional integrals. This new fractional integral identity will serve as an auxiliary result in the development of the main results of this paper. |
| format | Article |
| id | doaj-art-9a4ee6a6e2834e78925b2ba00345ec15 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9a4ee6a6e2834e78925b2ba00345ec152025-02-03T06:06:55ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/41890364189036Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional IntegralsYu-Ming Chu0Muhammad Uzair Awan1Muhammad Zakria Javad2Awais Gul Khan3Department of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanThe goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity utilizing the concepts of Katugampola fractional integrals. This new fractional integral identity will serve as an auxiliary result in the development of the main results of this paper.http://dx.doi.org/10.1155/2020/4189036 |
| spellingShingle | Yu-Ming Chu Muhammad Uzair Awan Muhammad Zakria Javad Awais Gul Khan Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals Journal of Mathematics |
| title | Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals |
| title_full | Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals |
| title_fullStr | Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals |
| title_full_unstemmed | Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals |
| title_short | Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals |
| title_sort | bounds for the remainder in simpson s inequality via n polynomial convex functions of higher order using katugampola fractional integrals |
| url | http://dx.doi.org/10.1155/2020/4189036 |
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