EN
New generalization of reverse Minkowski's inequality for fractional integral
Abstract
In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional
integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions. Further, we
establish some new fractional inequalities related to the reverse Minkowski type inequalities via Riemann-Liouville fractional
integral. Using this fractional integral operator, some special cases of reverse Minkowski type are also discussed.
Keywords
Destekleyen Kurum
None
Proje Numarası
None
Kaynakça
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- [3] T.A. Aljaaidi, D.B. Pachpatte, Some Gruss-type Inequalities Using Generalized Katugampola Fractional Integral, AIMS Mathematics, 5(2), (2020), 1011-1024. doi: 10.3934/math.2020070
- [4] T.A. Aljaaidi, D.B. Pachpatte, The Minkowski's Inequalities via ψ-Riemann-Liouville fractional Integral Operators, Rend. Circ. Mat. Palermo, ii. ser. (2020). https://doi.org/10.1007/s12215-020-00539-w
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- [7] V.L. Chinchane, D.B. Pachpatte, New fractional inequalities involving Saigo fractional integral operator, Math. Sci. Lett., 3 (3), (2014), 133-139.
- [8] V. L. Chinchane, D. B. Pachpatte, New fractional inequalities via Hadamard fractional integral, Internat. J. Functional Analysis and Application, 5 (3), (2013), 165-176. http://dx.doi.org/10.12785/msl/030301
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Mart 2021
Gönderilme Tarihi
24 Haziran 2020
Kabul Tarihi
31 Aralık 2020
Yayımlandığı Sayı
Yıl 2021 Cilt: 5 Sayı: 1
Cited By
Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations
https://doi.org/10.1186/s13662-021-03582-8