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Some New Integral Inequalities Related to Convex Functions
Abstract
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.
Keywords
References
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- 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.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
September 30, 2018
Submission Date
February 10, 2018
Acceptance Date
April 9, 2018
Published in Issue
Year 2018 Volume: 8 Number: 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. J. Inst. Sci. and Tech. 2018;8(3):279-286. doi:10.21597/jist.458656
Chicago
Yıldız, Çetin, and 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 (September 1, 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 and M. Gürbüz, “Some New Integral Inequalities Related to Convex Functions”, J. Inst. Sci. and Tech., vol. 8, no. 3, pp. 279–286, Sept. 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 (September 1, 2018): 279-286. https://doi.org/10.21597/jist.458656.
JAMA
1.Yıldız Ç, Gürbüz M. Some New Integral Inequalities Related to Convex Functions. J. Inst. Sci. and Tech. 2018;8:279–286.
MLA
Yıldız, Çetin, and Mustafa Gürbüz. “Some New Integral Inequalities Related to Convex Functions”. Journal of the Institute of Science and Technology, vol. 8, no. 3, Sept. 2018, pp. 279-86, doi:10.21597/jist.458656.
Vancouver
1.Çetin Yıldız, Mustafa Gürbüz. Some New Integral Inequalities Related to Convex Functions. J. Inst. Sci. and Tech. 2018 Sep. 1;8(3):279-86. doi:10.21597/jist.458656