Further inequalities for the generalized k-g-fractional integrals of functions with bounded variation
| dc.contributor.author | Dragomir, Sever | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-10T11:16:41Z | |
| dc.date.available | 2021-11-10T11:16:41Z | |
| dc.date.issued | 2020-06-30 | |
| dc.description.abstract | Let g be a strictly increasing function on (a,b), having a continuous derivative g′ on (a,b). For the Lebesgue integrable function f:(a,b)→C, we define the k-g-left-sided fractional integral of f by S_{k,g,a+}f(x)=∫_{a}^{x}k(g(x)-g(t))g′(t)f(t)dt, x∈(a,b] and the k-g-right-sided fractional integral of f by S_{k,g,b-}f(x)=∫_{x}^{b}k(g(t)-g(x))g′(t)f(t)dt, x∈[a,b), where the kernel k is defined either on (0,∞) or on [0,∞) with complex values and integrable on any finite subinterval. In this paper we establish some new inequalities for the k-g-fractional integrals of functions of bounded variation.Examples for the generalized left- and right-sided Riemann-Liouville fractional integrals of a function f with respect to another function g and a general exponential fractional integral are also provided. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 72 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.startpage | 49 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.542665 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/75970 | |
| dc.identifier.volume | 69 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.542665 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Generalized Riemann-Liouville fractional integrals | tr_TR |
| dc.subject | Hadamard fractional integrals | tr_TR |
| dc.subject | Functions of bounded variation | tr_TR |
| dc.title | Further inequalities for the generalized k-g-fractional integrals of functions with bounded variation | tr_TR |
| dc.type | Article | tr_TR |