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A.M. Fink, Hadamard’s inequality for log-concave functions, Math. Comput. Modelling 32 (5.6), (2000), 625-629.

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Article

Some New Integral Inequalities for Logarithmically Convex Functions with Applications

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

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


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 5, 140-145
DOI: 10.12691/tjant-4-5-4
Copyright © 2016 Science and Education Publishing

Cite this paper:
Ahmet Ocak Akdemir, 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.

Correspondence to: Ahmet  Ocak Akdemir, Ağrı·İbrahim Çeçen University, Faculty of Science and Arts, Department of Mathematics, Ağrı, Turkey. Email: ahmetakdemir@agri.edu.tr

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