Please use this identifier to cite or link to this item:
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2369
Title: | Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators |
Authors: | Khan, Aftab Nisar, Kottakkaran Sooppy Rahman, Gauhar Set, Erhan Ullah, Zafar Ordu Üniversitesi 0000-0001-5769-4320 0000-0002-2728-7537 0000-0003-1364-5396 |
Keywords: | Riemann-Liouville (R-L) fractional integral; fractional conformable integral; Chebyshev's functional; differentiable functions; integral inequalities; 26A33; 26D10 Author Information |
Issue Date: | 2019 |
Publisher: | MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND |
Abstract: | Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators. Very recently, a new variant of the fractional conformable integral operator was introduced by Jarad et al. Motivated by this operator, we aim at establishing novel inequalities for a class of differentiable functions, which are associated with Chebyshev's functional, by employing a fractional conformable integral operator. We also aim at showing important connections of the results here with those including Riemann-Liouville fractional and classical integrals. |
URI: | http://doi.org/10.3390/math7040364 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2369 |
Appears in Collections: | Matematik |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.