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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3459| Title: | Some New Results on Hermite-Hadamard-Mercer-Type Inequalities Using a General Family of Fractional Integral Operators |
| Authors: | Set, Erhan Celik, Baris Ozdemir, M. Emin Aslan, Mucahit Ordu Üniversitesi 0000-0003-1364-5396 0000-0001-5372-7543 |
| Keywords: | convex function; Hermite-Hadamard inequalities; Jensen-Mercer inequality; fractional integral operators |
| Issue Date: | 2021 |
| Publisher: | MDPI BASEL |
| Citation: | Set, E., Celik, B., Ozdemir, ME., Aslan, M. (2021). Some New Results on Hermite-Hadamard-Mercer-Type Inequalities Using a General Family of Fractional Integral Operators. Fractal and Fractional, 5(3), -.Doi:10.3390/fractalfract5030068 |
| Abstract: | The aim of this article is to obtain new Hermite-Hadamard-Mercer-type inequalities using Raina's fractional integral operators. We present some distinct and novel fractional Hermite-Hadamard-Mercer-type inequalities for the functions whose absolute value of derivatives are convex. Our main findings are generalizations and extensions of some results that existed in the literature. |
| Description: | WoS Categories : Mathematics, Interdisciplinary Applications Web of Science Index : Science Citation Index Expanded (SCI-EXPANDED) Research Areas : Mathematics Open Access Designations : Green Published |
| URI: | http://dx.doi.org/10.3390/fractalfract5030068 https://www.webofscience.com/wos/woscc/full-record/WOS:000699669300001 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3459 |
| ISBN: | 2504-3110 |
| Appears in Collections: | Matematik |
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