Some New Integral Inequalities for Logarithmically Convex Functions with Applications

Ahmet Ocak Akdemir^1, and Havva Kavurmacı-Önalan²

¹Ağrı·İbrahim Çeçen University, Faculty of Science and Arts, Department of Mathematics, Ağrı, Turkey

²Yüzüncü Yıl University, Education Faculty, Department of Mathematics, Van Turkey

Cite this paper:
Ahmet Ocak Akdemir and Havva Kavurmacı-Önalan. Some New Integral Inequalities for Logarithmically Convex Functions with Applications. Turkish Journal of Analysis and Number Theory. 2016; 4(5):140-145. doi: 10.12691/tjant-4-5-4

Abstract

In this paper, some new integral inequalities are established for functions whose derivatives in absolute value are logarithmically convex functions by using some useful equalities which were proven by Tseng et al.. Several new estimations are also given in numerical integration.

Keywords:
power mean inequality logarithmically convex trapezoidal formula midpoint formula

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