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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 are
convex. The proofs are made with quite basic analysis and stated on Hölder and Power mean inequalities.
Anahtar Kelimeler
Kaynakça
- Alomari MW, Latif MA, Hussain S, 2012. On Ostrowski-type inequalities for functions whose derivatives are m-convex and (α,m)-convex functions with applications. Tamkang Journal of Mathematics, 43 (4): 521-532.
- Bakula MK, Özdemir ME, Pečarič J, 2008. Hadamard Type Inequalities for m-and (α,m)-Convex Functions. Jour. of Ineq. In Pure and App. Math., Vol. 9 (4), Art. 96, 12 pp.
- 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.
- Dragomir SS, Pearce CEM, 2000. Selected Topics on Hermite-Hadamard Inequalities and Applications. RGMIA Monographs, Victoria University.
- Gürbüz, M., 2013. Farklı Türden Konveks Fonksiyonların Çarpımı Üzerine İntegral Eşitsizlikleri ve Uygulamaları. Doktora Tezi, Fen Bilimleri Enstitüsü, Atatürk Üniversitesi, Erzurum.
- İşcan İ, 2013. A new generalization of some integral inequalities for (α,m)-convex functions. Mathematical Sciences, 7 (22), 8 pp.
- Lara T, Quintero Roy, Rosales E, 2017. m-Convexity and Functional Equations. Moroccan J. Pure and Appl. Anal., Vol 3(1), 56-62 pp.
- Miheşan VG, 1993. A generalization of the convexity. Seminar on Functional Equations, Approx. and Convex., Cluj-Napoca, Romania.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Eylül 2018
Gönderilme Tarihi
10 Şubat 2018
Kabul Tarihi
9 Nisan 2018
Yayımlandığı Sayı
Yıl 2018 Cilt: 8 Sayı: 3
APA
Yıldız, Ç., & Gürbüz, M. (2018). Some New Integral Inequalities Related to Convex Functions. Journal of the Institute of Science and Technology, 8(3), 279-286. https://doi.org/10.21597/jist.458656
AMA
1.Yıldız Ç, Gürbüz M. Some New Integral Inequalities Related to Convex Functions. Iğdır Üniv. Fen Bil Enst. Der. 2018;8(3):279-286. doi:10.21597/jist.458656
Chicago
Yıldız, Çetin, ve Mustafa Gürbüz. 2018. “Some New Integral Inequalities Related to Convex Functions”. Journal of the Institute of Science and Technology 8 (3): 279-86. https://doi.org/10.21597/jist.458656.
EndNote
Yıldız Ç, Gürbüz M (01 Eylül 2018) Some New Integral Inequalities Related to Convex Functions. Journal of the Institute of Science and Technology 8 3 279–286.
IEEE
[1]Ç. Yıldız ve M. Gürbüz, “Some New Integral Inequalities Related to Convex Functions”, Iğdır Üniv. Fen Bil Enst. Der., c. 8, sy 3, ss. 279–286, Eyl. 2018, doi: 10.21597/jist.458656.
ISNAD
Yıldız, Çetin - Gürbüz, Mustafa. “Some New Integral Inequalities Related to Convex Functions”. Journal of the Institute of Science and Technology 8/3 (01 Eylül 2018): 279-286. https://doi.org/10.21597/jist.458656.
JAMA
1.Yıldız Ç, Gürbüz M. Some New Integral Inequalities Related to Convex Functions. Iğdır Üniv. Fen Bil Enst. Der. 2018;8:279–286.
MLA
Yıldız, Çetin, ve Mustafa Gürbüz. “Some New Integral Inequalities Related to Convex Functions”. Journal of the Institute of Science and Technology, c. 8, sy 3, Eylül 2018, ss. 279-86, doi:10.21597/jist.458656.
Vancouver
1.Çetin Yıldız, Mustafa Gürbüz. Some New Integral Inequalities Related to Convex Functions. Iğdır Üniv. Fen Bil Enst. Der. 01 Eylül 2018;8(3):279-86. doi:10.21597/jist.458656