Araştırma Makalesi

Some New Integral Inequalities Related to Convex Functions

Cilt: 8 Sayı: 3 30 Eylül 2018
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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

  1. 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.
  2. 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.
  3. 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.
  4. Dragomir SS, Pearce CEM, 2000. Selected Topics on Hermite-Hadamard Inequalities and Applications. RGMIA Monographs, Victoria University.
  5. Gürbüz, M., 2013. Farklı Türden Konveks Fonksiyonların Çarpımı Üzerine İntegral Eşitsizlikleri ve Uygulamaları. Doktora Tezi, Fen Bilimleri Enstitüsü, Atatürk Üniversitesi, Erzurum.
  6. İşcan İ, 2013. A new generalization of some integral inequalities for (α,m)-convex functions. Mathematical Sciences, 7 (22), 8 pp.
  7. Lara T, Quintero Roy, Rosales E, 2017. m-Convexity and Functional Equations. Moroccan J. Pure and Appl. Anal., Vol 3(1), 56-62 pp.
  8. 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

Kaynak Göster

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