Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications
In this article, we present several new inequalities involving the κ-fractional integral for the integrable function ℱ which satisfies one of the following conditions: aℱq is preinvex for some q>1; bℱ′ is bounded; cℱ′ is a Lipschitz function. As applications, we establish new inequalities for the...
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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/10.1155/2020/5285147 |
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| author | Shuang-Shuang Zhou Saima Rashid Silvestru Sever Dragomir Muhammad Amer Latif Ahmet Ocak Akdemir Jia-Bao Liu |
| author_facet | Shuang-Shuang Zhou Saima Rashid Silvestru Sever Dragomir Muhammad Amer Latif Ahmet Ocak Akdemir Jia-Bao Liu |
| author_sort | Shuang-Shuang Zhou |
| collection | DOAJ |
| description | In this article, we present several new inequalities involving the κ-fractional integral for the integrable function ℱ which satisfies one of the following conditions: aℱq is preinvex for some q>1; bℱ′ is bounded; cℱ′ is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means. |
| format | Article |
| id | doaj-art-c8958e92d8f245c8b79f5886689a2d02 |
| 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-c8958e92d8f245c8b79f5886689a2d022025-08-20T03:24:11ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/52851475285147Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their ApplicationsShuang-Shuang Zhou0Saima Rashid1Silvestru Sever Dragomir2Muhammad Amer Latif3Ahmet Ocak Akdemir4Jia-Bao Liu5School of Science, Hunan City University, Yiyang 413000, ChinaDepartment of Mathematics, Government College University, Faisalabad, PakistanCollege of Engineering and Science, Victoria University, Melbourne VIC 8001, AustraliaDepartment of Basic Sciences, University of Hail, Hail 2440, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Letters, Aǧrı İbrahim Çeçen University, Agri 04100, TurkeySchool of Mathematics and Physics, Anhui Institute of Architecture and Industry, Hefei 230601, ChinaIn this article, we present several new inequalities involving the κ-fractional integral for the integrable function ℱ which satisfies one of the following conditions: aℱq is preinvex for some q>1; bℱ′ is bounded; cℱ′ is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means.http://dx.doi.org/10.1155/2020/5285147 |
| spellingShingle | Shuang-Shuang Zhou Saima Rashid Silvestru Sever Dragomir Muhammad Amer Latif Ahmet Ocak Akdemir Jia-Bao Liu Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications Journal of Function Spaces |
| title | Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications |
| title_full | Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications |
| title_fullStr | Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications |
| title_full_unstemmed | Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications |
| title_short | Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications |
| title_sort | some new inequalities involving κ fractional integral for certain classes of functions and their applications |
| url | http://dx.doi.org/10.1155/2020/5285147 |
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