TY  - JOUR
T1  - Some New Integral Inequalities Related to Convex Functions
TT  - Konveks Fonksiyonlarla İlgili Bazı Yeni İntegral Eşitsizlikler
AU  - Gürbüz, Mustafa
AU  - Yıldız, Çetin
PY  - 2018
DA  - September
Y2  - 2018
DO  - 10.21597/jist.458656
JF  - Journal of the Institute of Science and Technology
JO  - J. Inst. Sci. and Tech.
PB  - Igdir University
WT  - DergiPark
SN  - 2536-4618
SP  - 279
EP  - 286
VL  - 8
IS  - 3
LA  - en
AB  - 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.
KW  - convexity
KW  - convex functions
KW  - integral inequality
N2  - 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.
CR  - 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.
CR  - 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.
CR  - 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.
CR  - Dragomir SS, Pearce CEM, 2000. Selected Topics on Hermite-Hadamard Inequalities and Applications. RGMIA Monographs, Victoria University.
CR  - Gürbüz, M., 2013. Farklı Türden Konveks Fonksiyonların Çarpımı Üzerine İntegral Eşitsizlikleri ve Uygulamaları. Doktora Tezi, Fen Bilimleri Enstitüsü, Atatürk Üniversitesi, Erzurum.
CR  - İşcan İ, 2013. A new generalization of some integral inequalities for (α,m)-convex functions. Mathematical Sciences, 7 (22), 8 pp.
CR  - Lara T, Quintero Roy, Rosales E, 2017. m-Convexity and Functional Equations. Moroccan J. Pure and Appl. Anal., Vol 3(1), 56-62 pp.
CR  - Miheşan VG, 1993. A generalization of the convexity. Seminar on Functional Equations, Approx. and Convex., Cluj-Napoca, Romania.
CR  - Özdemir ME, Kavurmacı H, Set E, 2010. Ostrowski’s Type Inequalities for (α,m)-Convex Functions. Kyungpook Math. J. 50: 371-378.
CR  - Özdemir ME, Avcı M, Kavurmacı H, 2011. Hermite-Hadamard-type inequalities via (α,m)-convexity. Comput. Math. Appl., 61: 2614-2620.
CR  - Set E, Özdemir ME, Sarıkaya MZ, Karakoç F, 2017. Hermite-Hadamard type inequalities for (α,m)-convex functions via fractional integrals, Moroccan Journal of Pure and Applied Analysis 3 (1): 15-21.
CR  - Toader G, 1984. Some generalizations of the convexity. Proceedings of The Colloquium On Approximation and Optimization, Univ. Cluj-Napoca, Cluj-Napoca, 329-338.
CR  - Yıldız Ç, Gürbüz M, Akdemir AO, 2013. The Hadamard Type Inequalities for m-Convex Functions. Konuralp Journal of Mathematics, 1 (1): 40–47.
CR  - Yıldız Ç, 2018. New general integral inequalities for quasi-convex functions. New Trends in Mathematical Sciences, 6 (1): 1-7.
UR  - https://doi.org/10.21597/jist.458656
L1  - https://dergipark.org.tr/en/download/article-file/533232
ER  -