Inequalities via generalized \(\log m\)-convex functions


Authors

Muhammad Aslam Noor - Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan. Khalida Inayat Noor - Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan. Farhat Safdar - Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan. Muhammad Uzair Awan - Department of Mathematics, Government College University, Faisalabad, Pakistan. Saleem Ullah - Department of Mathematics, University of Islamabad, Islamabad, Pakistan.


Abstract

The main objective of this paper is to introduce and investigate a new class of convex functions, which is called as generalized \(\log\) \(m\)-convex function. Some new Hermite-Hadamard type of integral inequalities via generalized \(\log\) \(m\)-convex functions are obtained. Several special cases are also discussed.


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ISRP Style

Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar, Muhammad Uzair Awan, Saleem Ullah, Inequalities via generalized \(\log m\)-convex functions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5789--5802

AMA Style

Noor Muhammad Aslam, Noor Khalida Inayat, Safdar Farhat, Awan Muhammad Uzair, Ullah Saleem, Inequalities via generalized \(\log m\)-convex functions. J. Nonlinear Sci. Appl. (2017); 10(11):5789--5802

Chicago/Turabian Style

Noor, Muhammad Aslam, Noor, Khalida Inayat, Safdar, Farhat, Awan, Muhammad Uzair, Ullah, Saleem. "Inequalities via generalized \(\log m\)-convex functions." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5789--5802


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