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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3681| Title: | Generalized integral inequalities for ABK-fractional integral operators |
| Authors: | Butt, Saad Ihsan Set, Erhan Yousaf, Saba Abdeljawad, Thabet Shatanawi, Wasfi Ordu Üniversitesi 0000-0002-8889-3768 0000-0001-7492-4933 |
| Keywords: | HADAMARD-TYPE INEQUALITIES; ATANGANA-BALEANU differentiable convex functions; Holder inequality; Young inequality; power mean inequality; Katugampol a fractional integral; AB-fractional integral; ABK-fractional integral |
| Issue Date: | 2021 |
| Publisher: | AMER INST MATHEMATICAL SCIENCES-AIMS SPRINGFIELD |
| Citation: | Butt, SI., Set, E., Yousaf, S., Abdeljawad, T., Shatanawi, W. (2021). Generalized integral inequalities for ABK-fractional integral operators. Aims Mathematics, 6(9), 10164-10191.Doi:10.3934/math.2021589 |
| Abstract: | In this paper, we employ new version of the Atangana-Baleanu integral operator namely ABK-fractional integrals to obtain two general integral identities complying second-order derivatives for a given function. Thus allowing us to derive new generalized Hermite-Hadamard type inequalities via ABK- fractional integrals. Moreover we give several new versions of Mid-point and Trapezoid type inequalities by employing Holder, Young and Jensen inequalities. |
| Description: | WoS Categories : Mathematics, Applied; Mathematics Web of Science Index : Science Citation Index Expanded (SCI-EXPANDED) Research Areas : Mathematics Open Access Designations : gold |
| URI: | http://dx.doi.org/10.3934/math.2021589 https://www.webofscience.com/wos/woscc/full-record/WOS:000683418700037 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3681 |
| ISBN: | 2473-6988 |
| Appears in Collections: | Matematik |
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