Some New Integral Inequalities Related to Convex Functions
Yıl: 2018 Cilt: 8 Sayı: 3 Sayfa Aralığı: 279 - 286 Metin Dili: İngilizce DOI: 10.21597/jist.458656 İndeks Tarihi: 18-01-2019
Some New Integral Inequalities Related to Convex Functions
Öz: We gathered several new integral inequalities with the help of a kernel and using functions which areconvex. The proofs are made with quite basic analysis and stated on Hölder and Power mean inequalities.
Anahtar Kelime: Konular:
Konveks Fonksiyonlarla İlgili Bazı Yeni İntegral Eşitsizlikler
Öz: Konveks fonksiyonları kullanarak, bir çekirdek yardımıyla bazı yeni integral eşitsizlikler elde ettik. İspatlarda kullanılan analiz oldukça elementer olup Hölder ve Power mean eşitsizliği üzerine kurgulandı.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Yıldız Ç, 2018. New general integral inequalities for convex functions. New Trends in Mathematical Sciences, 6 (1): 1-7.
- Yıldız Ç, Gürbüz M, Akdemir AO, 2013. The Hadamard Type Inequalities for Convex Functions. Konuralp Journal of Mathematics, 1 (1): 40–47.
- Toader G, 1984. Some generalizations of the convexity. Proceedings of The Colloquium On Approximation and Optimization, Univ. Cluj-Napoca, Cluj-Napoca, 329-338.
- Set E, Özdemir ME, Sarıkaya MZ, Karakoç F, 2017. HermiteHadamard type inequalities for convex functions via fractional integrals, Moroccan Journal of Pure and Applied Analysis 3 (1): 15-21.
- Özdemir ME, Avcı M, Kavurmacı H, 2011. Hermite-Hadamardtype inequalities via convexity. Comput. Math. Appl., 61: 2614-2620.
- Özdemir ME, Kavurmacı H, Set E, 2010. Ostrowski’s Type Inequalities for Convex Functions. Kyungpook Math. J. 50: 371-378.
- Miheşan VG, 1993. A generalization of the convexity. Seminar on Functional Equations, Approx. and Convex., Cluj-Napoca, Romania.
- Lara T, Quintero Roy, Rosales E, 2017. Convexity and Functional Equations. Moroccan J. Pure and Appl. Anal., Vol 3(1), 56-62 pp.
- İşcan İ, 2013. A new generalization of some integral inequalities for convex functions. Mathematical Sciences, 7 (22), 8 pp.
- Gürbüz, M., 2013. Farklı Türden Konveks Fonksiyonların Çarpımı Üzerine İntegral Eşitsizlikleri ve Uygulamaları. Doktora Tezi, Fen Bilimleri Enstitüsü, Atatürk Üniversitesi, Erzurum.
- Dragomir SS, Pearce CEM, 2000. Selected Topics on HermiteHadamard Inequalities and Applications. RGMIA Monographs, Victoria University.
- Chaudhry MA, Qadir A, Rafique M, Zubair SM, 1997. Extension of Euler’s beta function. Jour. of Comp. and App. Math., Vol 78, 19-32 pp.
- Bakula MK, Özdemir ME, Pečarič J, 2008. Hadamard Type Inequalities for and Convex Functions. Jour. of Ineq. In Pure and App. Math., Vol. 9 (4), Art. 96, 12 pp.
- Alomari MW, Latif MA, Hussain S, 2012. On Ostrowski-type inequalities for functions whose derivatives are convex and convex functions with applications. Tamkang Journal of Mathematics, 43 (4): 521-532.
| APA | Yıldız Ç, Gürbüz M (2018). Some New Integral Inequalities Related to Convex Functions. , 279 - 286. 10.21597/jist.458656 |
| Chicago | Yıldız Çetin,Gürbüz Mustafa Some New Integral Inequalities Related to Convex Functions. (2018): 279 - 286. 10.21597/jist.458656 |
| MLA | Yıldız Çetin,Gürbüz Mustafa Some New Integral Inequalities Related to Convex Functions. , 2018, ss.279 - 286. 10.21597/jist.458656 |
| AMA | Yıldız Ç,Gürbüz M Some New Integral Inequalities Related to Convex Functions. . 2018; 279 - 286. 10.21597/jist.458656 |
| Vancouver | Yıldız Ç,Gürbüz M Some New Integral Inequalities Related to Convex Functions. . 2018; 279 - 286. 10.21597/jist.458656 |
| IEEE | Yıldız Ç,Gürbüz M "Some New Integral Inequalities Related to Convex Functions." , ss.279 - 286, 2018. 10.21597/jist.458656 |
| ISNAD | Yıldız, Çetin - Gürbüz, Mustafa. "Some New Integral Inequalities Related to Convex Functions". (2018), 279-286. https://doi.org/10.21597/jist.458656 |
| APA | Yıldız Ç, Gürbüz M (2018). Some New Integral Inequalities Related to Convex Functions. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 8(3), 279 - 286. 10.21597/jist.458656 |
| Chicago | Yıldız Çetin,Gürbüz Mustafa Some New Integral Inequalities Related to Convex Functions. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 8, no.3 (2018): 279 - 286. 10.21597/jist.458656 |
| MLA | Yıldız Çetin,Gürbüz Mustafa Some New Integral Inequalities Related to Convex Functions. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.8, no.3, 2018, ss.279 - 286. 10.21597/jist.458656 |
| AMA | Yıldız Ç,Gürbüz M Some New Integral Inequalities Related to Convex Functions. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 8(3): 279 - 286. 10.21597/jist.458656 |
| Vancouver | Yıldız Ç,Gürbüz M Some New Integral Inequalities Related to Convex Functions. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 8(3): 279 - 286. 10.21597/jist.458656 |
| IEEE | Yıldız Ç,Gürbüz M "Some New Integral Inequalities Related to Convex Functions." Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 8, ss.279 - 286, 2018. 10.21597/jist.458656 |
| ISNAD | Yıldız, Çetin - Gürbüz, Mustafa. "Some New Integral Inequalities Related to Convex Functions". Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 8/3 (2018), 279-286. https://doi.org/10.21597/jist.458656 |
