Araştırma Makalesi
Yıl 2022,
Cilt: 51 Sayı: 2, 383 - 389, 01.04.2022
Öz
Kaynakça
- [1] B. Benaissa and H. Budak, More on reverse of Hölder’s integral inequality, Korean. J. Math. 28, 9–15, 2020.
- [2] R.P. Agarwal, D. O’Regan, and S.H. Saker, Hardy Type Inequalities on Time Scales, Springer International Publishing, Switzerland, 2016.
- [3] M. Bohner and A. Peterson, Dynamic Equations on Time Scales, An Introduction with Applications, Birkhäuser, Boston, 2001.
- [4] G. Chen and Z. Chen, A functional generalization of the reverse Hölder integral inequality on time scales, Math. Comput. Model. 54, 2939–2942, 2011.
- [5] U.M. Özkan, M.Z. Sarikaya and H. Yildirim, Extensions of certain integral inequali- ties on time scales, Appl. Math. Lett. 21 (10), 993–1000, 2008.
- [6] D. O’Regan, H.M. Rezk, and S.H. Saker, Some dynamic inequalities involving Hilbert and Hardy-Hilbert operators with kernels, Results Math. 73 (4), 146, 2018.
- [7] J.W. Rogers, Q. Sheng, Notes on the diamond-alpha dynamic derivative on time scales, J. Math. Anal. Appl. 326 (1), 228–241, 2007.
- [8] M.Z. Sarikaya, H. Yildirim, and U.M. Özkan, Time scale integral inequalities similar to Qi’s inequality, J. Ineq. Pur. Appl. Math. 7 (4), 128, 2006.
- [9] L. Yin and F. Qi, Some integral inequalities on time scales, Results Math. 64, 371– 381, 2013.
- [10] M. Zakarya, H.A. Abdelhamid, G. Alnemer and H.M. Rezk More on Hölder’s in- equality and it’s reverse via the diamond-alpha integral, Symmetry, 12 (10), 1716, 2020.
Yıl 2022,
Cilt: 51 Sayı: 2, 383 - 389, 01.04.2022
Öz
In this paper, we give a generalization of the reverse H\"{o}lder's diamond-$\alpha$ inequality on time scales by introducing two parameters. We note that many inequalities related to the H\"{o}lder's inequality can be obtained via this inequality.
Anahtar Kelimeler
Kaynakça
- [1] B. Benaissa and H. Budak, More on reverse of Hölder’s integral inequality, Korean. J. Math. 28, 9–15, 2020.
- [2] R.P. Agarwal, D. O’Regan, and S.H. Saker, Hardy Type Inequalities on Time Scales, Springer International Publishing, Switzerland, 2016.
- [3] M. Bohner and A. Peterson, Dynamic Equations on Time Scales, An Introduction with Applications, Birkhäuser, Boston, 2001.
- [4] G. Chen and Z. Chen, A functional generalization of the reverse Hölder integral inequality on time scales, Math. Comput. Model. 54, 2939–2942, 2011.
- [5] U.M. Özkan, M.Z. Sarikaya and H. Yildirim, Extensions of certain integral inequali- ties on time scales, Appl. Math. Lett. 21 (10), 993–1000, 2008.
- [6] D. O’Regan, H.M. Rezk, and S.H. Saker, Some dynamic inequalities involving Hilbert and Hardy-Hilbert operators with kernels, Results Math. 73 (4), 146, 2018.
- [7] J.W. Rogers, Q. Sheng, Notes on the diamond-alpha dynamic derivative on time scales, J. Math. Anal. Appl. 326 (1), 228–241, 2007.
- [8] M.Z. Sarikaya, H. Yildirim, and U.M. Özkan, Time scale integral inequalities similar to Qi’s inequality, J. Ineq. Pur. Appl. Math. 7 (4), 128, 2006.
- [9] L. Yin and F. Qi, Some integral inequalities on time scales, Results Math. 64, 371– 381, 2013.
- [10] M. Zakarya, H.A. Abdelhamid, G. Alnemer and H.M. Rezk More on Hölder’s in- equality and it’s reverse via the diamond-alpha integral, Symmetry, 12 (10), 1716, 2020.
Toplam 10 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Nisan 2022 |
| Yayımlandığı Sayı | Yıl 2022 Cilt: 51 Sayı: 2 |