Inequalities via generalized \(\log m\)-convex functions
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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.
Share and Cite
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
Keywords
- Generalized convex functions
- generalized \(\log\) \(m\)-convex functions
- Hermite-Hadamard type inequalities
MSC
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