Merve Nur ÇAKALOĞLU, Sinan ASLAN, Ahmet Ocak AKDEMİR

Hadamard Type Integral Inequalities for Differentiable (?, ?) −Convex Functions

In this article, firstly, basic information on convex function types and classical inequalities is given. Then, some Hadamard type inequalities are proved by using (ℎ, ?) −convex functions with the help of an integral identity that has the potential to generate Hadamard type inequalities.

Keywords:

Hadamard type inequalities Hölder inequality, (ℎ, ?) −convex functions,

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BECKENBACH, E.F., 1948. Convex fonction. Bulletin of the American Mathematical Society, 54:439-460
BRECKNER W. W., 1978. Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer funktionenin topologischen linearen Raumen, Pupl. Inst. Math. 23, 13-20. DRAGOMIR, S.S. and PEARCE, C.E.M., 1998. Quasi-convex functions and Hadamard’s inequality. Bull. Austral. Math. Soc., 57, 377-385. DRAGOMIR S.S., Fitzpatrick, S. 1999. The Hadamard’s inequality for s-convex functions in the second sense. Demonstratio Mathematica, 32(4): 687–696.

Eastern Anatolian Journal of Science-Cover

ISSN: 2149-6137
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2015
Yayıncı: Ağrı İbrahim Çeçen Üniversitesi

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